1. Journal papers

[] " On Liouville type theorems for the self-similar solutions to the generalized Euler equations ", Adv. Math., (in print) (2023).

[] " Removing rotated discretely self-similar singularity for the Euler equations. ", J. Diff. Eqns, 377, 113-120,(2023).

[](withJ. Wolf) " Localized blow-up criterion for C1,α solutions to the 3D incompressible Euler equations ", J. Math. Fluid Mech., 25, no. 3, paper no. 68,(2023).

[](with K. Choi and I. -J. Jeong) " Axi-symmetric solutions for active vector models generalizing 3D Euler and electron-MHD equations. ", Noninlear Anal. Real World Appl., 74, 103953, (2023).

[] " Regularity criterion in terms of the oscillation of pressure for the 3D Navier-Stokes equations. ", Z. Angew. Math. Phys., 174, no. 87169, (2023).

[](with J. Wolf) " Existence of local suitable weak solutions to the Navier-Stokes equations for initial data in L^2_loc(R^3) ", Noninlear Anal. Real World Appl., 73, 103892, (2023).

[] " Anisotropic Liouville type theorem for the stationary Navier-Stokes equations in R^3 ", Appl. Math. Lett., 142, 108655, (2023).

[](with I.-J. Jeong) " Active vector models generalising 3D Euler and electron-MHD equations. ", Nonlinearity, 36, no. 1 458-475 (2023).

[](with I.-J. Jeong) " Preservation of log-Holder coefficients of the vorticity in the transport equation ", J. Diff. Eqns, 343, 910-918 (2023).

[](with J. Wolf) " Global regularity of nondiffusive temperature fronts for the two-dimensional viscous Boussinesq system ", Localized non blow-up criterion of the Beale-Kato-Majda type for the 3D Euler equations. Math. Ann. 383, no. 3-4, 837–865 (2022)

[](with J. Kim and J. Wolf) " On Liouville-type theorems for the stationary MHD and the Hall-MHD systems in R^3 ", Z. Angew. Math. Phys. 73, no. 2, Paper No. 66, 15 pp (2022)

[] (with P. Constantin) "On a Type I singularity condition in terms of the pressure for the Euler equations in R^3 ", Int. Math. Res. Notices, 12, 9013-9023,(2022)

[] (with P. Constantin) " Remarks on type I blow up for the 3D Euler equations and the 2D Boussinesq equations ", J. Nonlinear Sciences, 31,no. 5, paper number 77, 16pp. (2021)

[](with J. Kim and J. Wolf) " On Liouville type theorems in the stationary non-Newtonian fluids ", J. Diff. Eqns, 302, (2021), 710–727.

[] (with J. Wolf) "Localized non-blow up criterion of the Beale-Kato-Majda type for the 3D Euler equations", Math. Ann. (2021)

[] (with J. Wolf) "On Liouville type theorems for the stationary MHD and Hall-MHD systems.", J. Diff. Eqns., 295,(2021), 233-248.

[] (with J. Wolf) "On the Serrin-type condition on one velocity component for the Navier-Stokes equations", Arch. Rational. Mech. Anal., 240(2021), 1323-1347.

[] (with J. Wolf) " The Euler equations in a critical case of the generalized Campanato space", Ann. Inst. Henri Poincare-Analyse Nonlineaire, 38 (2021), 201-241.

[] " Relative Decay Conditions on Liouville Type Theorem for the Steady Navier-Stokes System ", J. Math. Fluid Mechanics, 23 (2021), 1503-1517.

[] (with J. Wolf) "On Liouville type theorem for stationary non-Newtonian fluid equations ", J. Nonlinear Sciences., 30 (2020), 1503-1517.

[] (with J. Wolf) "Energy concentrations and Type I blow-up for the 3D Euler equations ", Comm. Math. Phys.,376 (2020), 1627-1669.

[] "Note on the Liouville type problem for the stationary Navier-Stokes equations in R^3 ", J. Diff. Eqns,268 (2020), 1043-1049.

[] (with J. Wolf) "Removing type II singularities off the axis for the 3D axisymmetric Euler equations ", Arch. Rational Mech. Anal.,234 (2019), no.3, 1041-1089.

[] (with J. Wolf) "On Liouville type theorem for the stationary Navier-Stokes equations ", Calculus of Variations and PDE, 58 (2019), no.3, 58:111

[] (with J. Wolf) "On the Regularity of Solutions to the 2D Boussinesq Equations Satisfying Type I Conditions", J. Nonlinear Sciences., 29 (2019), no.2, 643-654.

[] (with J. Wolf) "On the local Type I conditions for the 3D Euler equations", Arch. Rational Mech. Anal., 230 (2018), no.2, 641-663.

[] (with J. Wolf) "Existence of discretely self-similar solutions to the Navier-Stokes equations for initial value in L^2_{ loc} ( R^3)", Ann. Inst. Henri Poincare-Analyse Nonlineaire, 35 (2018), no. 4, 1019-1039.

[] (with J. Wolf) "Removing discretely self-similar singularities for the 3D Navier-Stokes equations", Comm. P.D.E.,42 (2017), no. 9, 1359-1374.

[] (with H. Bae and H. Okamoto) "On the well-posedness of various one-dimensional model equations for fluid motion", Nonlinear Analysis:TMA, 160 (2017), 25-43.

[] (with J. Wolf) "Regularity of the 3D stationary Hall magnetohydrodynamic equations on the plane", Comm. Math. Phys.,354 (2017), no.1, 213-230.

[] (with J. Wolf) " On the Liouville type theorems for self-similar solutions to the Navier-Stokes equations", Arch. Rational Mech. Anal.,225 (2017), 549-572.

[] (with J. Lee) "On the geometric regularity conditions for the 3D Navier-Stokes equations", Nonlinear Analysis:TMA,151 (2017), 265-273.

[] (with J. Wolf) "On Liouville type theorems for the steady Navier-Stokes equations in R^3", J. Diff. Eqns.,261(2016), 5541-5560.

[] (with J. Wolf) "On the Liouville theorem for weak Beltrami flows", Nonlinearity,29(2016), 3417-3425.

[] "On the vanishing theorems for the discretely self-similar solutions to the Hall equations", Contemporary Math.,666 (2016), 137-150.

[] (with S. Weng) "Liouville type theorems for the steady axially symmetric Navier-Stokes and magnetohydrodynamic equations", Discrete and Continuous Dynamical Systems, Ser. A, 36 no. 10, (2016), 5267-5285.

[] (with S. Weng) "Singularity formation for the incompressible Hall-MHD equations without resistivity", Ann. Inst. Henri Poincare-Analyse Nonlineaire, AN 33 (2016), 1009-1022.

[](with J. Wolf) "On partial regularity for the 3D non-stationary Hall magnetohydrodynamics equations on the plane", SIAM J. Math. Anal., 48, no. 1, (2016), 443-469.

[] (with P. Constantin)
"Remarks on a Liouville-Type Theorem for Beltrami Flows", Int. Math. Res. Notices, 2015, no.20, (2015), 10012-10016.

[] (with R. Wan and J. Wu) "Local Well-Posedness for the Hall-MHD Equations with Fractional Magnetic Diffusion", J. Math. Fluid Mech. ,17, no. 4, (2015), 627-638.

[](with J. Wolf) "On partial regularity for the steady Hall magnetohydrodynamics system", Comm. Math. Phys.,339,no. 3, (2015), 1147-1166.

[]
"Global regularity for a model Navier-Stokes equations", Analysis, 35,no. 3, (2015), 195-200.

[]
"Unique continuation type theorem for the self-similar Euler equations", Advances in Math., 283, (2015), 143-154.

[]
"Remarks on the asymptotically discretely self-similar solutions of the Navier-Stokes and the Euler equations", J. Nonlinear Analysis: TMA, 125, (2015), 251-259.

[]
"The global regularity for the 3D continuously stratified inviscid quasi-geostrophic equations", J. Nonlinear Science , 25, no.4, (2015), 959-966.

[] "Euler's equations and the maximum principle", Math. Ann., 361, no. 1-2, (2015), 51-66.

[] (with T-P. Tsai) "Remark on Luo-Hou's Ansatz for a Self-similar Solutions to the 3D Euler Equations", J. Nonlinear Science, 25, no. 1, (2015), 193-202.

[] (with T-P. Tsai)"On discretely self-similar solutions to the Euler equations", Math. Res. Lett., 21, no.3 (2014), 1-11

 

[] (with P. Constantin and J. Wu) "An incompressible 2D didactic model with singularity and explicit solutions of the 2D Boussinesq equations", J. Math. Fluid Mech., 16, no. 3, (2014), 473-480.

[] (with P. Degond and J-G. Liu)"Well-posedness for Hall-magnetohydrodynamics", Ann. Inst. Henri Poincare-Analyse Nonlineaire , 31, (2014), 555-565

[] (with J. Lee) "On the blow-up criterion and small data global existence for the Hall-magnetohydrodynamics", J. Diff. Eqns. 256, (2014), 3835-3858.

[] "On the transport equations with singular/regular nonlocal velocities", SIAM J. Math. Anal., 46, no. 2, (2014), 1017-1029.

[] "Localized energy equalities for the Navier-Stokes and the Euler equations", Advances in Math., 254, no. 20, (2014), 69-78.

[] "Liouville-type theorems for the forced Euler equations and the Navier-Stokes equations", Comm. Math. Phys., 326, (2014), 37-48.

[] (with M. Schonbek) "On the temporal decay for the Hall-magnetohydrodynamic equations", J. Diff. Eqns , 255, no. 11, (2013), 3971-3982.

[] (with R. Shvydkoy) "On formation of a locally self-similar collapse in the incompressible Euler equations", Arch. Rational Mech. Anal. , 209, no. 3, (2013), 999-1017.

[] (with T. Yoneda) "On the Liouville theorem for the stationary Navier-Stokes equations in a critical space", J. Math. Anal. Appl..,405, no. 2, (2013), 706-710.

[] (with P. Constantin and J. Wu)"Dissipative models generalizing the 2D Navier-Stokes and the surface quasi-geostrophic equations," Indiana Univ. Math. J, 61, no. 5, (2012), 1997-2018.

[] (with J. Wu) "Logarithmically regularized inviscid modelsin borderline Sobolev spaces", J. Math. Phys.,53, 115601, (2012) .

[] (with J. Wu) "The 2D Boussinesq equations with logarithmically supercritical velocities", Advances in Math., 230, no. 4-6, (2012), 1618-1645.

[] (with J-G. Liu)"Blow-up, zero alpha limit an the Liouville type theorem for the Euler-Poincare equations", Comm. Math. Phys., 314, no. 3, (2012), 671-687.

[] (with P. Constantin and J. Wu)" Deformation and symmetry in the inviscid SQG and the 3D Euler equations", J. Nonlinear Science, 22,no. 5, (2012), 665-688.

[] (with P. Constantin, D. Cordoba, F. Gancedo and J. Wu) " Generalized surface quasi-geostrophic equations with singular velocities, Comm. Pure Appl. Math., 65, no. 8, (2012), 1037-1066.

[] " Conditions on the pressure for vanishing velocity in the incompressible fluid flows, Comm. PDE., 37, no. 8, (2012), 1445-1455

[] " Remarks on the Liouville type results for the compressible Navier-Stokes equations in R^N, Nonlinearity, 25, no. 5 (2012), 1345-1349.

[] " On the Liouville type theorems with weights for the Navier-Stokes equations and Euler equations", Diff. Int. Eqns, 25, no. 3-4 (2012), 403-416.

[] "Liouville type of theorems for the Euler and the Navier-Stokes equations," Advances in Math., 228, (2011), 2855-2868.

[] (with P. Constantin and J. Wu) Inviscid models generalizing the 2D Euler and the surface quasi-geostrophic equations Arch. Rational Mech. Anal., 202, no. 1, (2011), 35-62

[] "On the self-similar solutions of the 3D Euler and the related equations", Comm. Math. Phys, 305, no. 2, (2011), 333-349

[] "On the regularity conditions of suitable weak solutions of the 3D Navier-Stokes equations", J. Math. Fluid Mech., 12, no. 2, (2010), 171-180.

[] "On the Lagrangian dynamics of the axisymmetric 3D Euler equations," J. Diff. Eqns, 249, no. 3, (2010), 571-577.

[] "On the nonexistence of global weak solutions to the Navier-Stokes-Poisson equations in R^N," Comm. PDE, 35, no. 3, (2010), 535-557.

[] "On the generalized self-similar singularities for the Euler and the Navier-Stokes equations", J. Funct. Anal., 258, no. 9, (2010), 2865-2883.

[] "Notes on the incompressible Euler and related equations on R^N," Chinese Annals of Mathematics, Ser. B, 30, no. 5, (2009), 513-526.

[] (with S. Ha) "On the formation of shocks to the compressible Euler equations," Comm. Math. Sci, 7, no. 3, (2009), 627-634.

[] "Nonexistence of self-similar singularities in the ideal magnetohydrodynamics," Arch. Rational Mech. Anal., 194, no. 3, (2009), 1011-1027.

[] "On the behaviors of solution near possible blow-up time in the incompressible Euler and related equations," Comm. PDE, 34, no. 10, (2009), 1265-1286.

[] (with K. Kang and J. Lee) "Notes on the asymptotically self-similar singularities in the Euler and the Navier-Stokes equations," Discrete and Continuous Dynamical System, Ser. A, 25, no.4, (2009), 1181-1193.

[] "On the a priori estimates for the Euler, the Navier-Stokes and the quasi-geostrophic equations," Advances in Math., 221, (2009), 1678-1702.

[] (with E. Tadmor) "On the finite time blow-up of the Euler-Poisson equations", Comm. Math. Sci., 6, no.3, (2008), 785-789.

[] "On the blow-up problem for the axisymmetric 3D Euler equations," Nonlinearity, 21, (2008), 2053-2060.

[] "The geometric approaches to the possible singularities in the inviscid fluid flows," J. Phys. A: Math. Theor., 41, (2008), 365501.

[] "Nonexistence of self-similar singularities in the viscous magnetohydrodynamics with zero resistivity ," J. Funct. Anal., 254, no.2, (2008), 441-453.

[] (with K. Kang and J. Lee) "On the interior regularity of suitable weak solutions of the Navier-Stokes equations", Comm. PDE, 32, no. 8, (2007), 1189-1207.

[] "On the deformations of the incompressible Euler equations", Math. Zeitschrift, 257, no. 3, (2007), 563-580.

[] "Existence of a semilinear elliptic system with exponential nonlinearities", Discrete and Continuous Dynamical System, Ser. A, 18, no. 4, (2007), 708-718.

[] "Nonexistence of asymptotically self-similar singularities in the Euler and the Navier-Stokes equations", Math. Ann., 338, no. 2, (2007), 435-449.

[] "Nonexistence of self-similar singularities for the 3D incompressible Euler equations", Comm. Math. Phys., 273, no. 1, (2007), 203-215.

[] "On the Regularity Conditions for the Navier-Stokes and the Related Equations ", Revista Mat. Iberoamericana, 23, no. 1, (2007), 371-384.

[] "On the finite time singularities of the 3D incompressible Euler equations", Comm. Pure Appl. Math., 60, no. 4, (2007), 597-617.

[] "Notes on perturbations of the incompressible 3D Euler equations ", Nonlinearity, 20, (2007), 517-522.

[] "On the Lagrangian dynamics for the 3D incompressible Euler equations", Comm. Math. Phys., 269, no. 2, (2007), 557-569.

[] "On the Conserved Quantities for the Weak Solutions of the Euler Equations and the Quasi-geostrophic Equations", Comm. Math. Phys., 266, no. 1, (2006), 197-210.

[] "On the continuation principles for the Euler equations and the quasi-geostrophic equation", J. Diff. Eqns, 227, no. 2, (2006), 640-651.

[] "Global regularity for the 2D Boussinesq equations with partial viscosity terms", Advances in Math., 203, no. 2, (2006), 497-513.

[] "On the Regularity Conditions for the Dissipative Quasi-geostrophic Equations", SIAM J. Math. Anal., 37, no. 5, (2006), 1649-1656.

[] "On the spectral dynamics of the deformation tensor and new a priori estimates for the 3D Euler equations", Comm. Math. Phys., 263, no. 3, (2005), 789-801.

[] (with T. Suzuki and H. Ohtsuka) "Some existence results for solutions to SU(3) Toda system", Calculus of Variations and P.D.E., 24, no. 4, (2005), 403-429.

[] "Existence of Multistring Solutions of the Self-Gravitating Massive W-Boson", Lett. Math. Phys., 73, no. 2, (2005), 123-134.

[] "On the coexistence of the strings and antistrings of the nontopological type", Asymptotic Analysis, 45 (1,2), (2005), 41-54.

[] "On the system of conservation laws and its perturbation in the Besov spaces", Advances in Diff. Eqns, 10, no. 9, (2005), 983-1006.

[] (with G. Tarantello) "Selfgravitating Electroweak strings", J. Diff. Eqns, 213, Issue 1, (2005), 146-170.

[] "On the elliptic system arising from a self-gravitating Born-Infeld Abelian Higgs theory", Nonlinearity, 18, (2005), 1823-1833.

[] "Existence of the Semilocal Chern-Simons Vortices", J. Math. Phys., 46, (2005), 042303(1)-042303(10).

[] (with A. Cordoba, D. Cordoba and M. Fontelos) "Finite time singularities in a 1D model of the quasi-geostrophic equation", Advances in Math., 194, (2005), 203-223.

[] "Remarks on the blow-up criterion of the 3D Euler equations", Nonlinearity, 18, (2005), 1021-1029.

[] "Local Existence and Blow-up Criterion for the Euler Equations in the Besov Spaces", Asymptotic Analysis, 38, no. 3-4, (2004), 339-358.

[] "On the multi-string solutions of the self-dual static Einstein-Maxwell-Higgs system", Calculus of Variations and P.D.E., 20, no. 1, (2004), 47-63.

[] (with G. Tarantello) "On planar Selfdual Electroweak theory", Ann. Inst. H. Poincare - Anal. Non Lineaire, 21, Issue 2, (2004), 187-207.

[] "On the Dual Systems to the Euler and the Navier-Stokes Equations in R^3", Proc. Roy. Soc. London, Ser. A, 460, no. 2044, (2004), 1153-1168.

[] "Remarks on the blow-up of the Euler equations and the related equations", Comm. Math. Phys., 245, no. 3, (2003), 539-550.

[] (with H. Huh) "Global Existence for Small Initial Data in the Born-Infeld Equations", J. Math. Phys., 44, Issue 12, (2003), 6132-6139.

[] (with K. Choe) "Existence of the self-gravitating Chern-Simons vortices" J. Math. Phys., 44, Issue 12, (2003), 5616-5636.

[] "On the Euler Equations in the Critical Triebel-Lizorkin Spaces", Arch. Rational Mech. Anal., 170, no. 3, (2003), 185-210.

[] "Remarks on the Helicity of the 3-D Incompressible Euler Equations" Comm. Math. Phys., 240, no. 3, (2003), 501-507.

[] (with J. Lee) "Local existence and blow-up criterion of the inhomogeneous Euler equations", J. Math. Fluid Mech., 5, (2003), 144-165.

[] "Global Existence of Solutions to the Coupled Einstein and Maxwell-Higgs System in the Spherical Symmetry", Annales Henri Poincare, 4, Issue 1, (2003), 35-62.

[] (with O. Imanuvilov) "Non-Topological Solitons in a Generalized Self-Dual Chern-Simons Theory" , Calculus of Variations and P.D.E., 16, (2003), 47-61.

[] (with J. Lee) "Global well-posedness in the super-critical dissipative quasi-geostrophic equations", Comm. Math. Phys., 233, Issue 2 (2003), 297-311.

[] "The quasi-geostrophic equation in the Triebel-Lizorkin spaces", Nonlinearity, 16, (2003), 479-495.

[] (with O. Imanuvilov) "Non-Topological Multivortex Solutions to the Self-Dual Maxwell-Chern-Simons-Higgs Systems" J. Funct. Anal., 196, (2002), 87-118.

[] (with M. Chae) "The Global Existence in the Cauchy Problem of the Maxwell-Chern-Simons-Higgs System", J. Math. Phys., 43, no. 11 (2002), 5470-5482.

[] (with K. Choe) "Global Existence in the Cauchy Problem of the Relativistic Chern-Simons-Higgs Theory" Nonlinearity, 15, (2002), 747-758.

[] (with J. Lee) "On the Regularity of Axisymmetric Solutions of the Navier-Stokes Equations", Math. Zeitschrift, 239, (2002), 645-671.

[] "On the Well-Posedness of the Euler Equations in the Triebel-Lizorkin Spaces", Comm. Pure Appl. Math., 55, no. 5, (2002), 654-678.

[] (with H.-S. Nam) "On the Condensate Multivortex Solutions of the Self-Dual Maxwell-Chern-Simons CP(1) Model", Annales Henri Poincare, 2 (2001), 887-906.

[] "Global Existence of Spherically Symmetric Solutions to the Coupled Einstein and Nonlinear Klein-Gordon System", Classical and Quantum Gravity, 18, no. 21, (2001), 4589-4605.

[] (with J. Lee) "Regularity Criterion in terms of Pressure for the Navier-Stokes Equations", Nonlinear Analysis-TMA, 46 no. 5, (2001), 727-735.

[] (with O. Imanuvilov) "The Existence of NontopologicalMultivortex Solutions in the Relativistic Self-Dual Chern-Simons Theory", Comm. Math. Phys., 215 (2000), 119-142.

[] (with H. -S. Nam) "Multiple Existence of the Multivortex Solutions of the Self-Dual Chern-Simons CP(1) Model on a Doubly Periodic Domain", Lett. Math. Phys., 49 (1999), 297-315.

[] (with S. -K. Kim, and H. -S. Nam) "Local existence and blow-up criterion of Hoelder continuous solutions of the Boussinesq equations", Nagoya Math. J. 155 (1999), 55-80.

[] (with O. Imanuvilov) "Generic solvability of the axisymmetric 3-D Euler equations and the 2-D Boussinesq equations", J. Differential Equations 156 (1999), no. 1, 1-17.

[] (with J. Han) "Gevrey class regularity for the time-dependent Ginzburg-Landau equations", Z. Angew. Math. Phys. 50 (1999), no. 2, 244-257.

[] (with H. -J. Choe) "Regularity of solutions to the Navier-Stokes equation", Electron. J. Differential Equations (1999), No. 05, (electronic) 1-7.

[] (with J. Han and O. Imanuvilov) "Existence and nonexistence in Chern-Simons-Higgs theory with a constant electric charge density", J. Math. Phys. 40 (1999), no. 1, 19-34.

[] (with O. Imanuvilov) "Existence of axisymmetric weak solutions of the 3-D Euler equations for near-vortex-sheet initial data", Electron. J. Differential Equations 1998, No. 26, (electronic) 1-17.

[] (with O. Imanuvilov) "Global unique existence of a positive solution for a system of equations in electrochemistry", Proc. Roy. Soc. Edinburgh Sect. A 128 (1998), no. 3, 507-524.

[] (with P. Dubovskii) "Existence and uniqueness for spatially inhomogeneous coagulation-condensation equation with unbounded kernels", J. Integral Equations Appl. 9 (1997), no. 3, 219-236.

[] (with N. Kim) "Axisymmetric weak solutions of the 3-D Euler equations for incompressible fluid flows", Nonlinear Analysis-TMA 29 (1997), no. 12, 1393-1404.

[] (with N. Kim) "Homogeneous statistical solutions and the vanishing interfacial energy limit of the Cahn-Hilliard equation ". Nonlinear Analysis-TMA 29 (1997), no. 10, 1197-1216.

[] (with H.-S. Nam) "Local existence and blow-up criterion for the Boussinesq equations", Proc. Roy. Soc. Edinburgh Sect. A, 127 (1997), no. 5, 935-946.

[] (with O. Imanuvilov and S.-M. Kim) " Exact controllability for semilinear parabolic equations with Neumann boundary conditions", J. Dynam. Control Systems 2 (1996), no. 4, 449-483.

[] (with N. Kim) "Topological multivortex solutions of the self-dual Maxwell-Chern-Simons-Higgs system", J. Differential Equations 134 (1997), no. 1, 154-182.

[] (with P. Dubovskii) "Traveling wave-like solutions of the Navier-Stokes and the related equations", J. Math. Anal. Appl. 204 (1996), no. 3, 930-939.

[] (with S.-M. Kim and S.-K. Kim) "A different proof of the existence theorem on the Navier-Stokes equations". J. Korean Math. Soc. 33 (1996), no. 4, 1129-1137.

[] (with N. Kim) "On the breakdown of axisymmetric smooth solutions for the 3-D Euler equations", Comm. Math. Phys. 178 (1996), no. 2, 391-398.

[] (with P. Dubovskii) "Functional and measure-valued solutions of the Euler equations for flows of incompressible fluids", Arch. Rational Mech. Anal., 129 (1995), no. 4, 385-396.

[] (with P. Dubovskii) "A connection between scalar conservation laws and infinite linear systems of PDEs", Appl. Math. Lett. 8 (1995), no. 5, 21-25.

[] (with P. Dubovskii) "Existence and uniqueness for spatially inhomogeneous coagulation equation with sources and effluxes", Z. Angew. Math. Phys. 46 (1995), no. 4, 580-594.

[] "Weak solutions of 2-D incompressible Euler equations", Nonlinear Analysis-TMA, 23 (1994), no. 5, 629-638.

[] (with N. Kim) "On the uniqueness of the unbounded classical solutions of the Navier-Stokes and associated equations", J. Math. Anal. Appl., 186 (1994), no. 1, 91-96.

[] (with C. Foias) "On the homogeneous statistical solutions of the $2$-D Navier-Stokes equations", Indiana Univ. Math. J. 43 (1994), no. 1, 177-185.

[] "Weak solutions of 2-D Euler equations with initial vorticity in L(log L)", J. Differential Equations, 103 (1993), no. 2, 323-337.

[] "Remarks on the regularity of weak solutions of the Navier-Stokes equations", Comm. P.D.E., 17 (1992), no. 7-8, 1267-1285.

[] "Some a priori estimates for weak solutions of the 3-D Navier-Stokes equations", J. Math. Anal. Appl., 167 (1992), no. 1, 236-244.

[] "On the ensemble average in the study of approximate inertial manifolds. II", J. Math. Anal. Appl., 164 (1992), no. 2, 337-349.

[] "On the ensemble average in the study of approximate inertial manifolds", J. Math. Anal. Appl., 160 (1991), no. 1, 236-249.

[] "The vanishing viscosity limit of statistical solutions of the Navier-Stokes equations II. The general case", J. Math. Anal. Appl., 155 (1991), no. 2, 460-484.

[] "The vanishing viscosity limit of statistical solutions of the Navier-Stokes equations I. 2-D periodic case", J. Math. Anal. Appl., 155 (1991), no. 2, 437-459.

2. Proceedings papers

[] "On the incompressible Euler equations and the blow-up problem ", Proceedings of MSJ-IRI Symposium, "Asymptotic Analysis and Singularities", Advanced Studies in Pure Mathematics, 47, no. 1, (2007), 1-30.

[] "On the conditional regularity of the Navier-Stokes and related equations", Banach Center Publications, 74, (2006), 117-126.

[] "On the well-posedness of the Euler equations in the Besov and the Triebel-Lizorkin spaces", Proceedings of the workshop, "Tosio Kato's Method and Principle for Evolution Equations in Mathematical Physics", Yurinsa, Tokyo (2002), 42-57.

[] (with J. Lee) "Regularity criteria of the axisymmetric Navier-Stokes equations", Proceedings of The Navier-Stokes equations: theory and numerical methods (Varenna, 2000), Lecture Notes in Pure and Appl. Math.,, 223, Dekker, New York, (2002), 159-165.

[] "Remarks on the relativistic self-dual Maxwell-Chern-Simons-Higgs system," Proceedings of the Symposium "Mathematical Physics and Quantum Field Theory" in Honor of Eyvind H. Wichmann, Electronic Journal of Differential Equations, Conference 04, (2000), 11-15.

[] (with O. Imanuvilov) "Construction of a solution to the semilinear elliptic equation in Chern-Simons gauge theory," Differential Equations and Mathematical Physics. Studies in Advanced Mathematics, 16, AMS/IP, (2000), 77-84.

3. Publications in books

[] "Incompressible Euler Equations: the blow-up problem and related results ," Handbook of Differential Equations: Evolutionary Partial Differential Equations, Vol. 4, Elsevier Science Ltd, (2008), 1-55.

[] "Incompressiblle Euler Equations: Mathematical Theory ," Encyclopedia of Mathematical Physics, 3, Elsevier Science Ltd, (2006), 10-17.

[] (with J. Lee) "On the global well-posedness and stability of the Navier-Stokes and the related equations ," Advances in Math. Fluid Mech., "Contributions to Current Challenges in Mathematical Fluid Mechanics", Birkhauser. (2004), 31-51.