带有第二声的一维热扩散系统解的整体吸引子

张明

doi:10.13371/j.cnki.chin.q.j.m.2014.03.016

数学季刊 >

2014 , Vol. 29 >Issue 3: 457 - 464

DOI: https://doi.org/10.13371/j.cnki.chin.q.j.m.2014.03.016

带有第二声的一维热扩散系统解的整体吸引子

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College of Science, Hangzhou Dianzi University

ZHANG Ming(1987-), male, native of Zhoukou, Henan, a lecturer of Hangzhou Dianzi University, Ph.D., engages in nonlinear evolution equations and in¯nite-dimensional dynamical systems.

收稿日期: 2013-06-15

网络出版日期: 2020-11-30

基金资助

Supported by the NNSF of China(11031003,11271066)； Supported by the Shanghai Education Commission(13ZZ048)；

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Global Attractors for the One-dimensional Model of Thermodiffusion with Second Sound

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College of Science, Hangzhou Dianzi University

ZHANG Ming(1987-), male, native of Zhoukou, Henan, a lecturer of Hangzhou Dianzi University, Ph.D., engages in nonlinear evolution equations and in¯nite-dimensional dynamical systems.

Received date: 2013-06-15

Online published: 2020-11-30

Supported by

Supported by the NNSF of China(11031003,11271066)； Supported by the Shanghai Education Commission(13ZZ048)；

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摘要

In this paper we investigate the global attractors for the one-dimensional linear model of thermodiffusion with second sound. Using the method of contractive functions, we obtain the asymptotically compact of the semigroup and the existence of the global attractors

关键词： thermodiffusion; second sound; global attractors, asymptotically compact

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张明 . 带有第二声的一维热扩散系统解的整体吸引子[J]. 数学季刊, 2014 , 29(3) : 457 -464 . DOI: 10.13371/j.cnki.chin.q.j.m.2014.03.016

Abstract

Key words： thermodiffusion; second sound; global attractors, asymptotically compact

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