一类广义长短波方程组在无界区域上的整体吸引子

张瑞凤;郭柏灵;

数学学报 ›› 2008, Vol. 51 ›› Issue (4) : 647-654.

PDF(469 KB)
PDF(469 KB)
数学学报 ›› 2008, Vol. 51 ›› Issue (4) : 647-654. DOI: 10.12386/A2008sxxb0076
论文

一类广义长短波方程组在无界区域上的整体吸引子

    张瑞凤;郭柏灵;
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Attractors for a Class of Generalized Long-Short Wave Equations in an Unbounded Domain

    Rui Feng ZHANG(1); Bo Long GUO(2)
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摘要

研究了一类广义长短波方程组在无界区域上的解的长时间行为.通过引进加权空间,应用内插不等式和在加权空间的先验估计,证明了长短波方程组整体吸引子的存在性.

Abstract

A class of generalied Long-Short wave equations in an unbounded domain is studied.By introducing the weighted space,applying interpolation inequality and a priori estimate in weighted space,the existence of global solution for the Long- Short wave equations is obtained.Moreover,the existence of global attractor for these equations is established.

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整体吸引子 / 先验估计 / 广义长短波方程组

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张瑞凤;郭柏灵;. 一类广义长短波方程组在无界区域上的整体吸引子. 数学学报, 2008, 51(4): 647-654 https://doi.org/10.12386/A2008sxxb0076
Rui Feng ZHANG(1); Bo Long GUO(2). Attractors for a Class of Generalized Long-Short Wave Equations in an Unbounded Domain. Acta Mathematica Sinica, Chinese Series, 2008, 51(4): 647-654 https://doi.org/10.12386/A2008sxxb0076
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