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REMARKS ON THE EXISTENCE OF WEAK SOLUTIONS TO 2-D INCOMPRESSIBLE NAVIER-STOKES EQUATIONS

REMARKS ON THE EXISTENCE OF WEAK SOLUTIONS TO 2-D INCOMPRESSIBLE NAVIER-STOKES EQUATIONS
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摘要 The authors prove the global existence of weak solutions to 2-D incompressible Navier-Stokes equations (in vorticity-stream formulation) with initial votticity in L .It may be the best result that can be obtained for initial vorticity in LP form. Moreover,the uniqueness is to be proved here. The authors prove the global existence of weak solutions to 2-D incompressible Navier-Stokes equations (in vorticity-stream formulation) with initial votticity in L .It may be the best result that can be obtained for initial vorticity in LP form. Moreover,the uniqueness is to be proved here.
出处 《Chinese Annals of Mathematics,Series B》 SCIE CSCD 1998年第4期529-536,共8页 数学年刊(B辑英文版)
关键词 纳维-斯托克斯方程 旋涡流形式 莱兹势论 弱解 偏微分方程 Navier-Stokes equations, Vorticity-stream form, Riesz potential theory, Weak solution
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