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.
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页码：1457 / 1467
页数：11
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