An Asymptotic Solution for the Wave Equation in a Time-Dependent Domain

DOI10.1137/1023001zbMath0501.35048OpenAlexW2064558330MaRDI QIDQ3966520

Catherine Garcia R., Antonmaria A. Minzoni

Publication date: 1981

Published in: SIAM Review (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/1023001

zbMATH Keywords

existenceuniquenessmoving boundaryenergy inequalitymethod of multiplierstime-dependent domainnormal modes of oscillationcylindrical cavity resonatortwo timing method

Mathematics Subject Classification ID

Wave equation (35L05) A priori estimates in context of PDEs (35B45) Asymptotic expansions of solutions to PDEs (35C20) Free boundary problems for PDEs (35R35)

Related Items (4)

Resonant Modal Interactions and Adiabatic Invariance for a Nonlinear Wave Equation in a Variable Domain ⋮ Stability on time-dependent domains ⋮ On mechanical waves and Doppler shifts from moving boundaries ⋮ Problems on time-varying domains: formulation, dynamics, and challenges

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