Global Regularity to the Navier-Stokes Equations for A Class of Large Initial Data

来源 :第八届工业与应用数学国际大会 | 被引量 : 0次 | 上传用户：lizhiguo518

【摘要】

：

　　We prove that for initial data of the form u∈0(x)=(vh 0(x∈),∈-1v3 0(x∈)T,x∈=(xh,∈x3)T,the Cauchy problem of the incompressible Navier-Stokes equations

【作者】

：

Lei Zhen

【机构】

：

FudanUniv.

【出处】

：

第八届工业与应用数学国际大会

【发表日期】

：

2015年8期

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　　We prove that for initial data of the form u∈0(x)=(vh 0(x∈),∈-1v3 0(x∈)T,x∈=(xh,∈x3)T,the Cauchy problem of the incompressible Navier-Stokes equations on R 3 is globally well-posed for all ∈> 0,provided that the initial velocity profile v0 is analytic in x3 and certain norm of v0 is sufficiently small but independent of ∈.

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Global Regularity to the Navier-Stokes Equations for A Class of Large Initial Data

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