Blowup Solutions of the Nonlinear Thomas Equation

被引：2

作者：

Korpusov, M. O. ^{[1
]}

机构：

[1] Lomonosov Moscow State Univ, Moscow, Russia

来源：

THEORETICAL AND MATHEMATICAL PHYSICS | 2019年 / 201卷 / 01期

关键词：

Sobolev-type nonlinear equation; blowup; local solvability; nonlinear capacity; blowup time estimate; ION-EXCHANGE;

D O I：

10.1134/S0040577919100040

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We study boundary value problems on an interval and on the half-line for the well-known Thomas equation u(xt) + alpha u(x) + beta u(t) + u(x)u(t) = 0, which is a model equation describing processes in chemical kinetics with ion exchange during sorption in a reagent stream. For this equation, we obtain sufficient conditions for its solution blowup in a finite time.

引用

页码：1457 / 1467

页数：11

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