Blow-up of solutions of nonlinear Sobolev type equations with cubic sources

M. O. Korpusov; A. G. Sveshnikov

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Blow-up of solutions of nonlinear Sobolev type equations with cubic sources

机译：具有三次源的非线性Sobolev型方程解的爆破。

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摘要

The aim of the present paper is to derive sufficient conditions for global-in-time solvability and blow-up of solutions of the first initial-boundary value problems for the Benjamin–Bona–Mahony–B¨urgers (BBMB) equations in a bounded three-dimensional domain with cubic sources.

机译：本文的目的是为有界Benjamin-Bona-Mahony-Burgers（BBMB）方程的第一个初边值问题的解提供及时的全局可解性和爆破的充分条件。具有立方源的三维域。

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《Differential equations: A translation of differensial'nye uraveniya》 |2006年第3期|共13页
作者
M. O. Korpusov; A. G. Sveshnikov;
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正文语种 eng
中图分类微分方程、积分方程;
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1. Blow-up of solutions of nonlinear Sobolev type equations with cubic sources [J] . M. O. Korpusov, A. G. Sveshnikov Differential equations: A translation of differensial'nye uraveniya . 2006,第3期

机译：具有三次源的非线性Sobolev型方程解的爆破。
2. Blow-up of solutions of a class of strongly non-linear dissipative wave equations of Sobolev type with sources [J] . Korpusov MO, Sveshnikov AG Izvestiya. Mathematics . 2005,第4期

机译：一类带源的Sobolev型强非线性耗散波动方程解的爆破
3. Large-time asymptotics of the solution of the Cauchy problem for a Sobolev-type equation with a cubic nonlinearity [J] . A. I. Aristov Differential Equations . 2010,第9期

机译：具有三次非线性的Sobolev型方程Cauchy问题解的长时间渐近性
4. Global existence and blow-up solutions for a class of nonlinear reaction diffusion equations under nonlinear boundary flux [C] . Yang Yan, Zhang Lingling Chinese Control and Decision Conference . 2019

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6. Multiplicity and asymptotic behavior of solutions for Kirchhoff type equations involving the Hardy–Sobolev exponent and singular nonlinearity [O] . Liejun Shen -1

机译：具有Hardy-Sobolev指数和奇异非线性的Kirchhoff型方程解的多重性和渐近性
7. Limiting behavior of blow-up solutions for the cubic nonlinear beam equation [O] . Pengshe Zheng, Lihui Leng 2018

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Blow-up of solutions of nonlinear Sobolev type equations with cubic sources

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