一个关于时间三阶动力学模型解的整体存在性,渐近性和一致吸引子

曹洁

doi:10.13371/j.cnki.chin.q.j.m.2016.03.001

数学季刊 >

2016 , Vol. 31 >Issue 3: 221 - 236

DOI: https://doi.org/10.13371/j.cnki.chin.q.j.m.2016.03.001

一个关于时间三阶动力学模型解的整体存在性,渐近性和一致吸引子

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College of Information Science and Technology,Donghua University

CAO Jie(1990-), male, native of Zhengzhou, Henan, a PhD candidate of Donghua University, engages in nonlinear evolution equations and in¯nite-dimensional dynamical systems.

收稿日期: 2016-01-20

网络出版日期: 2020-11-04

基金资助

Supported by the National Natural Science Foundation of China(11271066)； Supported by the Shanghai Education Commission(13ZZ048)；

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Global Existence, Asymptotic Behavior and Uniform Attractors for a Third Order in Time Dynamics

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College of Information Science and Technology,Donghua University

CAO Jie(1990-), male, native of Zhengzhou, Henan, a PhD candidate of Donghua University, engages in nonlinear evolution equations and in¯nite-dimensional dynamical systems.

Received date: 2016-01-20

Online published: 2020-11-04

Supported by

Supported by the National Natural Science Foundation of China(11271066)； Supported by the Shanghai Education Commission(13ZZ048)；

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摘要

In this paper,a third order（in time） partial differential equation in Rⁿ is considered.By using semigroup method and constructing Lyapunov function,we establish the global existence,asymptotic behavior and uniform attractors in nonhomogeneous case.In addition,we also obtain the results of well-posedness in semilinear case.

关键词： third order in time dynamics; well-posedness; asymptotic behavior; uniform attractors

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曹洁 . 一个关于时间三阶动力学模型解的整体存在性,渐近性和一致吸引子[J]. 数学季刊, 2016 , 31(3) : 221 -236 . DOI: 10.13371/j.cnki.chin.q.j.m.2016.03.001

Abstract

Key words： third order in time dynamics; well-posedness; asymptotic behavior; uniform attractors

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