Energy decay for the strongly damped nonlinear beam equation and its applications in moving boundary

Kim J.A.; Lee K.

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Energy decay for the strongly damped nonlinear beam equation and its applications in moving boundary

机译：强阻尼非线性梁方程的能量衰减及其在运动边界中的应用

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摘要

We study the existence and energy decay of solutions for the strongly damped nonlinear beam equation. We apply a method based on Nakao method to show that the solution decays exponentially, and to obtain precise estimates of the constants in the estimates. Finally, we discuss its applications in moving boundary.

机译：我们研究了强阻尼非线性梁方程解的存在性和能量衰减。我们应用了一种基于Nakao方法的方法，以证明该解呈指数衰减，并获得估计中常数的精确估计。最后，我们讨论其在移动边界中的应用。

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《Acta Applicandae Mathematicae: An International Journal on Applying Mathematics and Mathematical Applications》 |2010年第2期|共19页
作者
Kim J.A.; Lee K.;
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原文格式 PDF
正文语种 eng
中图分类应用数学;
关键词
Galerkin method; Moving boundary; Nakao method; Nonlinear beam equation;

机译：Galerkin方法;运动边界;Nakao方法;非线性梁方程;

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专利

1. Energy decay for the strongly damped nonlinear beam equation and its applications in moving boundary [J] . Kim J.A., Lee K. Acta Applicandae Mathematicae: An International Journal on Applying Mathematics and Mathematical Applications . 2010,第2期

机译：强阻尼非线性梁方程的能量衰减及其在运动边界中的应用
2. EXISTENCE AND UNIFORM DECAY FOR A NONLINEAR BEAM EQUATION WITH NONLINEARITY OF KIRCHHOFF TYPE IN DOMAINS WITH MOVING BOUNDARY [J] . M. L. SANTOS, J. FERREIRA, C. A. RAPOSO Abstract and applied analysis . 2005,第8期

机译：具运动边界的域中具柯尔霍夫型非线性的非线性梁方程的存在性和一致衰减
3. Existence and uniform decay for a nonlinear beam equation with nonlinearity of Kirchhoff type in domains with moving boundary [J] . M. L.Santos, J.Ferreira, C. A.Raposo Abstract and applied analysis . 2005,第8期

机译：具有运动边界的区域中具有Kirchhoff型非线性的非线性梁方程的存在与一致衰减。
4. EXISTENCE AND UNIFORM DECAY OF THE WAVE EQUATION WITH NONLINEAR BOUNDARY DAMPING AND BOUNDARY MEMORY SOURCE TERM [C] . Marcelo Moreira Cavalcanti International ISAAC Congress . 2003

机译：非线性边界阻尼和边界存储源术语波方程的存在与均匀衰减
5. Immersed boundary method for Boltzmann model kinetic equations and its applications to microscale gas damping. [D] . Pekardan, Cem. 2013

机译：玻尔兹曼模型动力学方程的浸入边界方法及其在微尺度气体阻尼中的应用。
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. Existence and uniform decay for a nonlinear beam equation with nonlinearity of Kirchhoff type in domains with moving boundary [O] . C. A. Raposo, M. L. Santos, J. Ferreira 2005

机译：具有运动边界域的具有Kirchhoff型非线性的非线性梁方程的存在性和均匀衰减
8. Asymptotic Stability and Energy Decay Rates for Solutions of Hyperbolic Equations with Boundary Damping. [R] . Quinn, J. P., Russell, D. L. 1975

机译：具有边界阻尼的双曲型方程解的衰减率。

Energy decay for the strongly damped nonlinear beam equation and its applications in moving boundary

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