一类Boussinesq方程解的爆破和不稳定性

王颖;穆春来;

数学学报 ›› 2008, Vol. 51 ›› Issue (4) : 699-710.

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PDF(469 KB)
数学学报 ›› 2008, Vol. 51 ›› Issue (4) : 699-710. DOI: 10.12386/A2008sxxb0083
论文

一类Boussinesq方程解的爆破和不稳定性

    王颖;穆春来;
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Instability and Blow-up of Solutions for a Nonlinear Boussinesq Equation

    Ying WANG(1); Chun Lai MU(2)
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摘要

研究了一类非线性Boussinesq方程解的爆破和基态解的不稳定性,还得到了问题带在不同域中的初值的整体有界解.

Abstract

We are concerned with the blow-up of solution and the instability of the ground state solution for a class of nonlinear Boussinesq equation.Furthermore,we obtain the global bounded solutions with initial data in different regions.

关键词

Boussinesq方程 / 爆破 / 孤立子波

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王颖;穆春来;. 一类Boussinesq方程解的爆破和不稳定性. 数学学报, 2008, 51(4): 699-710 https://doi.org/10.12386/A2008sxxb0083
Ying WANG(1); Chun Lai MU(2). Instability and Blow-up of Solutions for a Nonlinear Boussinesq Equation. Acta Mathematica Sinica, Chinese Series, 2008, 51(4): 699-710 https://doi.org/10.12386/A2008sxxb0083
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