Global existence and exponential decay rates for the Westervelt equation

DOI10.3934/dcdss.2009.2.503zbMath1180.35108OpenAlexW1994446848MaRDI QIDQ843349

Irena Lasiecka, Barbara Kaltenbacher

Publication date: 12 October 2009

Published in: Discrete and Continuous Dynamical Systems. Series S (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcdss.2009.2.503

zbMATH Keywords

nonlinear acousticsglobal existencefixed point theoremexponential decayWestervelt equationsound in a fluid medium

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Second-order nonlinear hyperbolic equations (35L70) Hydro- and aero-acoustics (76Q05) Degenerate hyperbolic equations (35L80)

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