On the blow-up behavior of a nonlinear parabolic equation with periodic boundary conditions

被引：2

作者：

Cortissoz, Jean C. ^{[1
,2
]}

机构：

[1] Univ Los Andes, Dept Matemat, Bogota, Colombia

[2] Inst Colombiano Ciencias, Rincon Del Mar, Sucre, Colombia

来源：

ARCHIV DER MATHEMATIK | 2011年 / 97卷 / 01期

关键词：

Nonlinear parabolic equations; Periodic boundary conditions; Blow-up; NAVIER-STOKES EQUATIONS; UNIQUENESS THEOREM; EXISTENCE; SYSTEM;

D O I：

10.1007/s00013-011-0266-x

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Using ideas arising in the works of LeJan and Sznitman and Mattingly and Sinai on their study of the Navier-Stokes equations, we investigate the blow-up behavior of a nonlinear parabolic equation subject to periodic boundary conditions.

引用

页码：69 / 78

页数：10

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