Global attractors for nonlinear wave equations with nonlinear dissipative terms

Nakao M

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Global attractors for nonlinear wave equations with nonlinear dissipative terms

机译：具有非线性耗散项的非线性波动方程的整体吸引子

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We show the existence, size and some absorbing properties of global attractors of the nonlinear wave equations with nonlinear dissipations like rho(x, u(t)) = a(x)vertical bar u(t)vertical bar(r) u(t). (c) 2005 Elsevier Inc. All rights reserved.

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《Journal of Differential Equations》 |2006年第1期|共26页
作者
Nakao M;
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正文语种 eng
中图分类数学;
关键词
nonlinear wave equations; global attractor; nonlinear dissipations; DAMPED HYPERBOLIC EQUATION; CRITICAL EXPONENT; FINITE DIMENSIONALITY;

机译：非线性波动方程全局吸引子非线性耗散阻尼双曲方程临界指数有限维;

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专利

1. Global attractors for nonlinear wave equations with nonlinear dissipative terms [J] . Nakao M Journal of Differential Equations . 2006,第1期

机译：具有非线性耗散项的非线性波动方程的整体吸引子
2. Global existence and decay for nonlinear dissipative wave equations with a derivative nonlinearity [J] . Nakao M. Nonlinear Analysis: An International Multidisciplinary Journal . 2012,第4期

机译：具有导数非线性的非线性耗散波动方程的整体存在和衰减
3. Small global solutions for nonlinear complex GinzburgLandau equations and nonlinear dissipative wave equations in Sobolev spaces [J] . Nakamura M. Reviews in mathematical physics . 2011,第8期

机译：Sobolev空间中非线性复GinzburgLandau方程和非线性耗散波动方程的小整体解
4. Asymptotic Stability for Nonlinear Wave Equations With Unbounded Dissipative Terms [C] . Zhen CHEN, Keqin SU International conference on application of mathematics and physics;AMP2010 . 2010

机译：带无穷耗散项的非线性波动方程的渐近稳定性
5. Nonchaotic features of the global attractor of dissipative partial differential equations. [D] . Kukavica, Igor. 1993

机译：耗散偏微分方程整体吸引子的非混沌特征。
6. On Global Attraction to Stationary States for Wave Equations with Concentrated Nonlinearities [O] . Elena Kopylova -1

机译：集中非线性波动方程对平稳状态的整体吸引
7. Global attractors for nonlinear wave equations with nonlinear dissipative terms [O] . Nakao Mitsuhiro 2006

机译：具有非线性耗散项的非线性波动方程的整体吸引子

Global attractors for nonlinear wave equations with nonlinear dissipative terms

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