BOUNDEDNESS AND GLOBAL NONEXISTENCE FOR A NONLINEAR CONVECTIVE PARABOLIC-SYSTEM

被引：2

作者：

AMES, KA ^{[1
]}

STRAUGHAN, B ^{[1
]}

机构：

[1] UNIV GLASGOW,DEPT MATH,GLASGOW G12 8QW,LANARK,SCOTLAND

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 1995年 / 190卷 / 03期

关键词：

D O I：

10.1006/jmaa.1995.1112

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A two-component parabolic system with convective terms is studied. It is shown that if the forces on the right hand side are no worse than quadratic in the variables then the solution remains bounded for all time. It is also proved that if the forces are allowed to grow faster than quadratic then finite time blow-up is to be expected. (C) 1995 Academic Press, Inc.

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页码：795 / 805

页数：11

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