On second grade fluids with vanishing viscosity

被引：58

作者：

Busuioc, V ^{[1
]}

机构：

[1] Univ Paris 06, F-75252 Paris 05, France

来源：

COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE | 1999年 / 328卷 / 12期

关键词：

D O I：

10.1016/S0764-4442(99)80447-9

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We consider in R-n (n = 2, 3) the equation of a second grade fluid with vanishing viscosity, also known as Camassa-Holm equation. We prove local existence and uniqueness of solutions for smooth initial data. We also give a blow-up condition which implies that the solution is global for n = 2. Finally, we prove the convergence of the solutions of second grade fluid equation to the solution of the Camassa-Holm equation as the viscosity tends to zero. (C) Academie des Sciences/Elsevier, Paris.

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页码：1241 / 1246

页数：6

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