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| REMARKS ON THE EXISTENCE OF WEAK SOLUTIONS TO 2-DINCOMPRESSIBLE NAVIER-STOKES EQUATIONS |
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Citation： |
Zhang Ping,Qiu Qingjiu.REMARKS ON THE EXISTENCE OF WEAK SOLUTIONS TO 2-DINCOMPRESSIBLE NAVIER-STOKES EQUATIONS[J].Chinese Annals of Mathematics B,1998,19(4):529~536 |
| Page view： 1057
Net amount： 789 |
Authors： |
Zhang Ping; Qiu Qingjiu |
Foundation： |
the National Natural Science Foundation of China |
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| Abstract： |
The authors prove the global existence of weak solutions to 2-D incompressible Navier-Stokes equations (in vorticity-stream formulation) with initial vorticity in $L^{\f43}$.It may be the best result that can be obtained for initial vorticity in $L^p$
form. Moreover,the uniqueness is to be proved here. |
Keywords： |
Navier-Stokes equations, Vorticity-stream form, Riesz potential
theory, Weak solution |
Classification： |
35Q30, 76D05 |
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