WEAK SOLUTIONS OF NAVIER-STOKES EQUATIONS CONSTRUCTED BY ARTIFICIAL COMPRESSIBILITY METHOD ARE SUITABLE

被引：11

作者：

Donatelli, Donatella ^{[1
]}

Spirito, Stefano ^{[1
]}

机构：

[1] Univ Aquila, Dipartimento Matemat Pura & Applicata, I-67100 Laquila, Italy

来源：

JOURNAL OF HYPERBOLIC DIFFERENTIAL EQUATIONS | 2011年 / 8卷 / 01期

关键词：

Incompressible Navier-Stokes equation; suitable weak solution; INCOMPRESSIBLE LIMIT; PARTIAL REGULARITY; APPROXIMATIONS;

D O I：

10.1142/S0219891611002330

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove that weak solutions constructed by artificial compressibility method are suitable in the sense of Scheffer. Using Hilbertian setting and Fourier transform with respect to time, we obtain non-trivial estimates on the pressure and the time derivative which allow us to pass to the limit.

引用

页码：101 / 113

页数：13

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