GLOBAL-SOLUTIONS OF 2-DIMENSIONAL NAVIER-STOKES AND EULER EQUATIONS

被引：73

作者：

BENARTZI, M

机构：

[1] Institute of Mathematics, Hebrew University, Jerusalem

来源：

ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS | 1994年 / 128卷 / 04期

关键词：

D O I：

10.1007/BF00387712

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Long-time solutions to the Navier-Stokes (NS) and Euler (E) equations of incompressible flow in the whole plane are constructed, under the assumption that the initial vorticity is in L1 (R2) for (NS) and in L1 (R2) and L(r) (R2) for some r > 2 for (E). It is shown that the solution to (NS) is unique, smooth and depends continuously on the initial data, and that the (velocity) solution to (E) is Holder continuous in the space and time coordinates. It is shown that as the viscosity vanishes, there is a subsequence of solutions to (NS) converging to a solution of (E).

引用

页码：329 / 358

页数：30

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