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On the regularity conditions of suitable weak solutions of the 3D NavierStokes equations. J. Math. Fluid Mech. (2010), Vol 12, Pages 171180


On the generalized selfsimilar singularities for the Euler and the NavierStokes equations. J. Funct. Anal. (2010), Vol 258, Pages 28652883


Notes on the incompressible Euler and related equations on $Bbb R^N$. Chin. Ann. Math. Ser. B (2009), Vol 30, Pages 513526


Nonexistence of selfsimilar singularities in the ideal magnetohydrodynamics. Arch. Ration. Mech. Anal. (2009), Vol 194, Pages 10111027


On the behaviors of solutions near possible blowup time in the incompressible Euler and related equations. Comm. Partial Differential Equations (2009), Vol 34, Pages 12691286


On the formation of shocks to the compressible Euler equations. Commun. Math. Sci. (2009), Vol 7, Pages 627634


Notes on the asymptotically selfsimilar singularities in the Euler and the NavierStokes equations. Discrete Contin. Dyn. Syst. (2009), Vol 25, Pages 11811193


On the a priori estimates for the Euler, the NavierStokes and the quasigeostrophic equations. Adv. Math. (2009), Vol 221, Pages 16781702


Incompressible Euler equations: the blowup problem and related results. Handb. Differ. Equ. (2008), Vol , Pages 155 

The geometric approaches to the possible singularities in the inviscid fluid flows. J. Phys. A (2008), Vol 41, Pages


On the finite time blowup of the EulerPoisson equations in $Bbb Rsp n$. Commun. Math. Sci. (2008), Vol 6, Pages 785789


On the blowup problem for the axisymmetric 3D Euler equations. Nonlinearity (2008), Vol 21, Pages 20532060


Nonexistence of selfsimilar singularities in the viscous magnetohydrodynamics with zero resistivity. J. Funct. Anal. (2008), Vol 254, Pages 441453


On the incompressible Euler equations and the blowup problem. Adv. Stud. Pure Math. (2007), Vol , Pages 130 

On the interior regularity of suitable weak solutions to the NavierStokes equations. Comm. Partial Differential Equations (2007), Vol 32, Pages 11891207


On the regularity conditions for the NavierStokes and related equations. Rev. Mat. Iberoam. (2007), Vol 23, Pages 371384


On the deformations of the incompressible Euler equations. Math. Z. (2007), Vol 257, Pages 563580


Existence of a semilinear elliptic system with exponential nonlinearities. Discrete Contin. Dyn. Syst. (2007), Vol 18, Pages 709718


Nonexistence of selfsimilar singularities for the 3D incompressible Euler equations. Comm. Math. Phys. (2007), Vol 273, Pages 203215


Nonexistence of asymptotically selfsimilar singularities in the Euler and the NavierStokes equations. Math. Ann. (2007), Vol 338, Pages 435449


On the finitetime singularities of the 3D incompressible Euler equations. Comm. Pure Appl. Math. (2007), Vol 60, Pages 597617


Notes on perturbations of the incompressible 3D Euler equations. Nonlinearity (2007), Vol 20, Pages 517522


On the Lagrangian dynamics for the 3D incompressible Euler equations. Comm. Math. Phys. (2007), Vol 269, Pages 557569


On the conditional regularity of the NavierStokes and related equations. Banach Center Publ. (2006), Vol , Pages 117126 

On the conserved quantities for the weak solutions of the Euler equations and the quasigeostrophic equations. Comm. Math. Phys. (2006), Vol 266, Pages 197210


On the continuation principles for the Euler equations and the quasigeostrophic equation. J. Differential Equations (2006), Vol 227, Pages 640651


Global regularity for the 2D Boussinesq equations with partial viscosity terms. Adv. Math. (2006), Vol 203, Pages 497513


On the regularity conditions for the dissipative quasigeostrophic equations. SIAM J. Math. Anal. (2006), Vol 37, Pages 16491656


On the spectral dynamics of the deformation tensor and new a priori estimates for the 3D Euler equations. Comm. Math. Phys. (2006), Vol 263, Pages 789801


On the coexistence of the strings and antistrings of the nontopological type. Asymptot. Anal. (2005), Vol 45, Pages 4154


Some existence results for solutions to ${rm SU}(3)$ Toda system. Calc. Var. Partial Differential Equations (2005), Vol 24, Pages 403429


Existence of multistring solutions of the selfgravitating massive $W$boson. Lett. Math. Phys. (2005), Vol 73, Pages 123134


On the system of conservation laws and its perturbation in the Besov spaces. Adv. Differential Equations (2005), Vol 10, Pages 9831006 

On the elliptic system arising from a selfgravitating BornInfeld Abelian Higgs theory. Nonlinearity (2005), Vol 18, Pages 18231833


Finite time singularities in a 1D model of the quasigeostrophic equation. Adv. Math. (2005), Vol 194, Pages 203223


Selfgravitating electroweak strings. J. Differential Equations (2005), Vol 213, Pages 146170


Remarks on the blowup criterion of the threedimensional Euler equations. Nonlinearity (2005), Vol 18, Pages 10211029


Existence of the semilocal ChernSimons vortices. J. Math. Phys. (2005), Vol 46, Pages


On the dual systems to Euler and NavierStokes equations in $Bbb Rsp 3$. Proc. R. Soc. Lond. Ser. A Math. Phys. Eng. Sci. (2004), Vol 460, Pages 11531168


On the global wellposedness and stability of the NavierStokes and the related equations. Adv. Math. Fluid Mech. (2004), Vol , Pages 3151 

Local existence and blowup criterion for the Euler equations in the Besov spaces. Asymptot. Anal. (2004), Vol 38, Pages 339358


On planar selfdual electroweak vortices. Ann. Inst. H. Poincaré Anal. Non Linéaire (2004), Vol 21, Pages 187207


On the multistring solutions of the selfdual static EinsteinMaxwellHiggs system. Calc. Var. Partial Differential Equations (2004), Vol 20, Pages 4763


Remarks on the blowup of the Euler equations and the related equations. Comm. Math. Phys. (2004), Vol 245, Pages 539550


Global existence for small initial data in the BornInfeld equations. J. Math. Phys. (2003), Vol 44, Pages 61326139


Existence of the selfgravitating ChernSimons vortices. J. Math. Phys. (2003), Vol 44, Pages 56165636


On the Euler equations in the critical TriebelLizorkin spaces. Arch. Ration. Mech. Anal. (2003), Vol 170, Pages 185210


Remarks on the helicity of the 3D incompressible Euler equations. Comm. Math. Phys. (2003), Vol 240, Pages 501507


Local existence and blowup criterion of the inhomogeneous Euler equations. J. Math. Fluid Mech. (2003), Vol 5, Pages 144165


Global existence of solutions to the coupled Einstein and MaxwellHiggs system in the spherical symmetry. Ann. Henri Poincaré (2003), Vol 4, Pages 3562


Global wellposedness in the supercritical dissipative quasigeostrophic equations. Comm. Math. Phys. (2003), Vol 233, Pages 297311


The quasigeostrophic equation in the TriebelLizorkin spaces. Nonlinearity (2003), Vol 16, Pages 479495


Nontopological solutions in the generalized selfdual ChernSimonsHiggs theory. Calc. Var. Partial Differential Equations (2003), Vol 16, Pages 4761


Nontopological multivortex solutions to the selfdual MaxwellChernSimonsHiggs systems. J. Funct. Anal. (2002), Vol 196, Pages 87118


The global existence in the Cauchy problem of the MaxwellChernSimonsHiggs system. J. Math. Phys. (2002), Vol 43, Pages 54705482


Global existence in the Cauchy problem of the relativistic ChernSimonsHiggs theory. Nonlinearity (2002), Vol 15, Pages 747758


On the regularity of the axisymmetric solutions of the NavierStokes equations. Math. Z. (2002), Vol 239, Pages 645671


On the wellposedness of the Euler equations in the TriebelLizorkin spaces. Comm. Pure Appl. Math. (2002), Vol 55, Pages 654678


On the Cauchy problem of the ChernSimonsHiggs theory. Sūrikaisekikenkyūsho Kōkyūroku (2001), Vol , Pages 213220 

Regularity criteria of the axisymmetric NavierStokes equations. Lecture Notes in Pure and Appl. Math. (2000), Vol , Pages 159165 

On the Cauchy problem in the MaxwellChernSimonsHiggs system. Sūrikaisekikenkyūsho Kōkyūroku (2001), Vol , Pages 206212 

On the wellposedness of the Euler equations in the Besov and the TriebelLizorkin spaces. Sūrikaisekikenkyūsho Kōkyūroku (2001), Vol , Pages 4257 

Global existence of spherically symmetric solutions to the coupled Einstein and nonlinear KleinGordon system. Classical Quantum Gravity (2001), Vol 18, Pages 45894605


On the condensate multivortex solutions of the selfdual MaxwellChernSimons $C{rm P}(1)$ model. Ann. Henri Poincaré (2001), Vol 2, Pages 887906


Regularity criterion in terms of pressure for the NavierStokes equations. Nonlinear Anal. (2001), Vol 46, Pages 727735


The existence of nontopological multivortex solutions in the relativistic selfdual ChernSimons theory. Comm. Math. Phys. (2000), Vol 215, Pages 119142


Remarks on the relativistic selfdual MaxwellChernSimonsHiggs system. Electron. J. Differ. Equ. Conf. (1999), Vol , Pages 1115 

Construction of a solution to the semilinear elliptic equation in ChernSimons gauge theory. AMS/IP Stud. Adv. Math. (1999), Vol , Pages 7784 

Multiple existence of the multivortex solutions of the selfdual ChernSimons $bold C{rm P}(1)$ model on a doubly periodic domain. Lett. Math. Phys. (1999), Vol 49, Pages 297315


Local existence and blowup criterion of Hölder continuous solutions of the Boussinesq equations. Nagoya Math. J. (1999), Vol 155, Pages 5580


Generic solvability of the axisymmetric $3$D Euler equations and the $2$D Boussinesq equations. J. Differential Equations (1999), Vol 156, Pages 117


Gevrey class regularity for the timedependent GinzburgLandau equations. Z. Angew. Math. Phys. (1999), Vol 50, Pages 244257


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Existence and nonexistence in ChernSimonsHiggs theory with a constant electric charge density. J. Math. Phys. (1999), Vol 40, Pages 1934


Existence of axisymmetric weak solutions of the $3$D Euler equations for nearvortexsheet initial data. Electron. J. Differential Equations (1998), Vol , Pages


Nontopological multivortex solutions in the selfdual ChernSimons theories. Lecture Notes Ser. (1998), Vol , Pages 129147 

Global unique existence of a positive solution for a system of equations in electrochemistry Proc. Roy. Soc. Edinburgh Sect. A (1998), Vol 128, Pages 507524


Existence and uniqueness for spatially inhomogeneous coagulationcondensation equation with unbounded kernels. J. Integral Equations Appl. (1997), Vol 9, Pages 219236


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Homogeneous statistical solutions and the vanishing interfacial energy limit of the CahnHilliard equation. Nonlinear Anal. (1997), Vol 29, Pages 11971216


A different proof of the existence theorem on the NavierStokes equations. J. Korean Math. Soc. (1996), Vol 33, Pages 11291137


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On the uniqueness of the unbounded classical solutions of the NavierStokes and associated equations. J. Math. Anal. Appl. (1994), Vol 186, Pages 9196


On the homogeneous statistical solutions of the $2$D NavierStokes equations. Indiana Univ. Math. J. (1994), Vol 43, Pages 177185


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On the nonexistence of global weak solutions to the NavierStokesPoisson equations in $\Bbb R^N$. Comm. Partial Differential Equations (2010), Vol 35, Pages 535557


On the selfsimilar solutions of the 3D Euler and the related equations Comm. Math. Phys. (2011), Vol 305, Pages 333–349


On the Liouville type theorems with weights for the NavierStokes equations and Euler equations Differential Integral Equations (2012), Vol 25, Pages 403416 

Liouville type theorems for the Euler and the NavierStokes equations Adv. Math. (2011), Vol 228, Pages 28552868


Inviscid models generalizing the twodimensional Euler and the surface quasigeostrophic equations Arch. Ration. Mech. Anal. (2011), Vol 202, Pages 3562


Remarks on the Liouville type results for the compressible NavierStokes equations in $R^N$. Nonlinearity (2012), Vol 25, Pages 1345–1349


The 2D Boussinesq equations with logarithmically supercritical velocities. Adv. Math. (2012), Vol 230, Pages 1618–1645


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Deformation and symmetry in the inviscid SQG and the 3D Euler equations J. Nonlinear Sci. (2012), Vol 22, Pages 665688


Blowup, zero $\alpha$ limit and the Liouville type theorem for the EulerPoincaré equations Comm. Math. Phys. (2012), Vol 314, Pages 671687


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Dissipative models generalizing the 2D NavierStokes and surface quasigeostrophic equations. Indiana Univ. Math. J. (2012), Vol 61, Pages 1997–2018


On the blowup problem for the Euler equations and the Liouville type results in the fluid equations. Discrete Contin. Dyn. Syst. Ser. S (2013), Vol 6, Pages 1139–1150


On the Liouville theorem for the stationary NavierStokes equations in a critical space. J. Math. Anal. Appl. (2013), Vol 405, Pages 706–710


On formation of a locally selfsimilar collapse in the incompressible Euler equations. Arch. Ration. Mech. Anal. (2013), Vol 209, Pages 999–1017


On the temporal decay for the Hallmagnetohydrodynamic equations. J. Differential Equations (2013), Vol 255, Pages 3971–3982


Localized energy equalities for the NavierStokes and the Euler equations. Adv. Math. (2014), Vol 254, Pages 69–78


Liouvilletype theorems for the forced Euler equations and the NavierStokes equations. Comm. Math. Phys. (2014), Vol 326, Pages 37–48


On the transport equations with singular/regular nonlocal velocities. SIAM J. Math. Anal. (2014), Vol 46, Pages 10171029


On the blowup criterion and small data global existence for the Hallmagnetohydrodynamics. J. Differential Equations (2014), Vol 256, Pages 38353858


Wellposedness for Hallmagnetohydrodynamics. Ann. Inst. H. Poincaré Anal. Non Linéaire (2014), Vol 31, Pages 555565


An incompressible 2D didactic model with singularity and explicit solutions of the 2D Boussinesq equations. J. Math. Fluid Mech. (2014), Vol 16, Pages 473480


Erratum to: An incompressible 2D didactic model with singularity and explicit solutions of the 2D Boussinesq equations J. Math. Fluid Mech. (2014), Vol 16, Pages 481


On discretely selfsimilar solutions of the Euler equations. Math. Res. Lett. (2014), Vol 21, Pages 437447


Remark on LuoHou's ansatz for a selfsimilar solution to the 3D Euler equations. J. Nonlinear Sci. (2015), Vol 25, Pages 193202


Euler's equations and the maximum principle. Math. Ann. (2015), Vol 361, Pages 5166


The global regularity for the 3D continuously stratified inviscid quasigeostrophic equations. J. Nonlinear Sci. (2015), Vol 25, Pages 959966


Remarks on the asymptotically discretely selfsimilar solutions of the NavierStokes and the Euler equations. Nonlinear Anal. (2015), Vol 125, Pages 251259


Global regularity for a model NavierStokes equations on R 3 . Analysis (Berlin) (2015), Vol 35, Pages 195200


Unique continuation type theorem for the selfsimilar Euler equations. Adv. Math. (2015), Vol 283, Pages 143154


On partial regularity for the steady Hall magnetohydrodynamics system. Comm. Math. Phys. (2015), Vol 339, Pages 11471166


Local wellposedness for the HallMHD equations with fractional magnetic diffusion. J. Math. Fluid Mech. (2015), Vol 17, Pages 627638
