WAVE EQUATION IN DOMAINS WITH NON-LOCALLY REACTING BOUNDARY

Frota CL; Medeiros LA; Vicente A

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WAVE EQUATION IN DOMAINS WITH NON-LOCALLY REACTING BOUNDARY

机译：具有非局部反应边界的域中的波方程

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摘要

A generalized model for acoustic boundary conditions to non-locally reacting boundaries is studied. We prove the existence, uniqueness, and asymptotic stability of global solutions to the mixed problem for the wave equation of Carrier type with acoustic boundary conditions for non-locally reacting boundaries. Additionally a nonlinear impenetrability condition is considered.

机译：研究了声边界条件到非局部反应边界的广义模型。我们证明了带有非局部反应边界的声学边界条件的载波型波动方程混合问题整体解的存在性，唯一性和渐近稳定性。另外，考虑了非线性不可渗透性条件。

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《Differential and integral equations》 |2011年第12期|共20页
作者
Frota CL; Medeiros LA; Vicente A;
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正文语种 eng
中图分类微分方程、积分方程;
关键词
asymptotic; boundaries; boundary;

机译：渐近;边界;边界;

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1. WAVE EQUATION IN DOMAINS WITH NON-LOCALLY REACTING BOUNDARY [J] . Frota CL, Medeiros LA, Vicente A Differential and integral equations . 2011,第11a12期

机译：具有非局部反应边界的域中的波方程
2. General decay estimates for the wave equation with acoustic boundary conditions in domains with nonlocally reacting boundary [J] . Ha Tae Gab Applied mathematics letters . 2016,第Null期

机译：具有非局部反应边界的区域中具有声学边界条件的波动方程的一般衰减估计
3. The wellposedness and energy estimate for wave equations in domains with a space-like boundary [J] . Liu Lingyang, Gao Hang Electronic Journal of Qualitative Theory of Differential Equations . 2019,第92期

机译：具有空间边界的区域中波动方程的适定性和能量估计
4. Domain decomposition method using integral equations and a boundary condition impedance for solving wave scattering from large platforms covered by a thin dielectric coat [C] . Maurin Julien, Barka Andre, Gobin Vincent, . 2015

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5. Investigating the Feasibility and Stability for Modeling Acoustic Wave Scattering Using a Time-Domain Boundary Integral Equation with Impedance Boundary Condition [D] . Rodio, Michelle E. 2020

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6. Numerical Absorbing Boundary Conditions Based on a Damped Wave Equation for Pseudospectral Time-Domain Acoustic Simulations [O] . Carlos Spa, Pedro Reche-López, Erwin Hernández -1

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7. Boundary controllability and boundary time-varying feedback stabilization of the 1D wave equation in non-cylindrical domains [O] . Mokhtari Yacine 2021

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8. On the accurate long-time solution of the wave equation in exterior domains: Asymptotic expansions and corrected boundary conditions [R] . Hagstrom, Thomas, Hariharan, S. I., Maccamy, R. C. 1993

机译：关于波动方程在外域中的精确长时解：渐近展开和修正边界条件

WAVE EQUATION IN DOMAINS WITH NON-LOCALLY REACTING BOUNDARY

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