An example of pure stability for the wave equation with moving boundary

DOI10.1006/jmaa.1998.6113zbMath0913.35075OpenAlexW2070333463MaRDI QIDQ1276368

Nicolas Gonzalez

Publication date: 17 May 1999

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jmaa.1998.6113

Mathematics Subject Classification ID

Initial-boundary value problems for second-order hyperbolic equations (35L20) Stability in context of PDEs (35B35) Wave equation (35L05)

Related Items (13)

Numerical analysis for a nonlinear model of elastic strings with moving ends ⋮ Finite difference solution of a nonlinear Klein-Gordon equation with an external source ⋮ A remark on observability of the wave equation with moving boundary ⋮ Numerical solution for the model of vibrating elastic membrane with moving boundary ⋮ Numerical analysis for a thermoelastic diffusion problem in moving boundary ⋮ Fundamental equations of quantum mechanics in time-varying domain ⋮ Stabilization of the wave equation with moving boundary ⋮ Error estimates of vibrations of elastic string with moving ends ⋮ Observability and stabilization of the wave equation with moving boundary or pointwise feedback ⋮ Torus maps and the problem of a one-dimensional optical resonator with a quasiperiodically moving wall ⋮ Stability of degenerate heat equation in non-cylindrical/cylindrical domain ⋮ Energy bounds for a moving boundary initial boundary value problem for the semi-linear wave equation ⋮ Problems on time-varying domains: formulation, dynamics, and challenges

Cites Work

• Sur la conjugaison différentiable des difféomorphismes du cercle à des rotations. (On smooth conjugacy of diffeomorphisms of the circle with rotations)
• The spectrum of a hyperbolic evolution operator
• Asymptotic behavior for the vibrating string with a moving boundary
• On the solution of the wave equation with moving boundaries
• Stability and Instability of the Wave Equation Solutions in a Pulsating Domain

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