UNIFORM DECAY RATES OF SOLUTIONS TO A NONLINEAR WAVE EQUATION WITH BOUNDARY CONDITION OF MEMORY TYPE

机译：内存类型边界条件的非线性波方程的均匀衰减速率

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In this article we study the hyperbolic problem (1) where Ω is a bounded region in R{sup}n whose boundary is partitioned into disjoint sets Г{sub}0, Г{sub}1. We prove that the dissipation given by the memory term is strong enough to assure exponential (or polynomial) decay provided the relaxation function also decays exponentially (or polynomially). In both cases the solution decays with the same rate of the relaxation function.

机译：在本文中，我们研究了一个ω是ω是r {sup} n中的有界区域的双曲线问题（1），其中边界被划分为不相交的集合г{sub} 0，г{sub} 1。我们证明，通过记忆项给出的耗散足以确保令人令人衰减的令人抑制（或多项式）衰减指数（或多项式）衰减。在两种情况下，溶液衰变具有相同的松弛功能速率。

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《Conference on System Modeling and Optimization》|2005年||共17页
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Marcelo M. Cavalcanti; Valeria N. Domingos Cavalcanti; Mauro L. Santos;
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中图分类 TP27-53;
关键词
Wave equation; Gradient nonlinearity; Boundary memory term;

机译：波动方程;梯度非线性;边界记忆术语;
入库时间 2022-08-20 19:39:34

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专利

1. GENERAL DECAY RATES OF SOLUTIONS TO A NONLINEAR WAVE EQUATION WITH BOUNDARY CONDITION OF MEMORY TYPE [J] . M. M. Cavalcanti, A. Guesmia Differential and integral equations . 2005,第5期

机译：具有记忆型边界条件的非线性波动方程解的一般衰减率。
2. On uniform decay of solutions for wave equation of Kirchhoff type with nonlinear boundary damping and memory source term [J] . Bae JJ., Park JY., Jeong JM. Applied mathematics and computation . 2003,第2a3期

机译：具有非线性边界阻尼和记忆源项的Kirchhoff型波动方程解的均匀衰减
3. On uniform decay of the solution for a damped nonlinear coupled system of wave equations with nonlinear boundary damping and memory term [J] . Bae JJ. Applied mathematics and computation . 2004,第1期

机译：具有非线性边界阻尼和记忆项的非线性波动方程组的解的一致衰减。
4. UNIFORM DECAY RATES OF SOLUTIONS TO A NONLINEAR WAVE EQUATION WITH BOUNDARY CONDITION OF MEMORY TYPE [C] . Marcelo M. Cavalcanti, Valeria N. Domingos Cavalcanti, Mauro L. Santos Conference on System Modeling and Optimization . 2005

机译：内存类型边界条件的非线性波方程的均匀衰减速率
5. Some results on the one-dimensional linear wave equation with van der Pol type nonlinear boundary conditions and the Korteweg-de Vries-Burgers equation. [D] . Feng, Zhaosheng. 2004

机译：关于具有范德波尔型非线性边界条件的一维线性波动方程和Korteweg-de Vries-Burgers方程的一些结果。
6. Global Existence and Energy Decay Rates for a Kirchhoff-Type Wave Equation with Nonlinear Dissipation [O] . Daewook Kim, Dojin Kim, Keum-Shik Hong, -1

机译：具有非线性耗散的Kirchhoff型波动方程的整体存在和能量衰减率
7. Decay rates for solutions of semilinear wave equations with a memory condition at the boundary [O] . Santos M.L. 2002

机译：具有边界记忆条件的半线性波动方程解的衰减率
8. Statisfaction of asymptotic boundary conditions in numerical solution of systems of nonlinear equations of boundary-layer type [R] . Nachtsheim, P. R., Swigert, P. 1965

机译：边界层非线性方程组数值解中渐近边界条件的满足

UNIFORM DECAY RATES OF SOLUTIONS TO A NONLINEAR WAVE EQUATION WITH BOUNDARY CONDITION OF MEMORY TYPE

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