Parabolic Approximation of Quasilinear Wave Equations with Applications in Nonlinear Acoustics
DOI10.1137/20M1380430zbMath1485.35296arXiv2011.07360OpenAlexW3106208745MaRDI QIDQ5065450
Barbara Kaltenbacher, Vanja Nikolić
Publication date: 21 March 2022
Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2011.07360
nonlinear acousticsparabolic approximationKuznetsov's equationWestervelt's equationnonlinearities of quadratic type, convergence to the inviscid equations' solutions
Asymptotic behavior of solutions to PDEs (35B40) Initial-boundary value problems for second-order hyperbolic equations (35L20) Second-order quasilinear hyperbolic equations (35L72)
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