Initial values for the Navier-Stokes equations in spaces with weights in time

来源 :International Workshop on PDEs in Fluid Dynamics and Related | 被引量 : 0次 | 上传用户:shenzhixian
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We consider the nonstationaryNavier-Stokes system in a smooth bounded domain $Omega subset {R}^3$ with initial value $u_0in L^{2}_{sigma}(Omega)$.It is an important question to determine the optimal initial value condition in order to prove the existence of a unique local strong solution satisfying Serrins condition.
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