[] "
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.
[] "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.
[] "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.