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

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

数学季刊 ›› 2016, Vol. 31 ›› Issue (3): 221-236.doi: 10.13371/j.cnki.chin.q.j.m.2016.03.001

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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

College of Information Science and Technology,Donghua University

收稿日期:2016-01-20 出版日期:2016-09-30 发布日期:2020-11-04
作者简介: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.
基金资助:
Supported by the National Natural Science Foundation of China(11271066)； Supported by the Shanghai Education Commission(13ZZ048)；

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

College of Information Science and Technology,Donghua University

Received:2016-01-20 Online:2016-09-30 Published:2020-11-04
About author: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.
Supported by:
Supported by the National Natural Science Foundation of China(11271066)； Supported by the Shanghai Education Commission(13ZZ048)；

摘要/Abstract

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

Abstract: 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.

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

中图分类号:

O175

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.

CAO Jie. Global Existence, Asymptotic Behavior and Uniform Attractors for a Third Order in Time Dynamics[J]. Chinese Quarterly Journal of Mathematics, 2016, 31(3): 221-236.

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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

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

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