Large-time asymptotic behaviors for linear Blackstock's model of thermoviscous flow

DOI10.1007/s00245-023-10003-7OpenAlexW4366977304MaRDI QIDQ2701099

Wenhui Chen, Hiroshi Takeda

Publication date: 27 April 2023

Published in: Applied Mathematics and Optimization (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2205.04632

zbMATH Keywords

Cauchy problemacoustic wavesasymptotic profilesoptimal estimatesoptimal leading termpropagation of sound in thermoviscous fluids

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) PDEs in connection with fluid mechanics (35Q35)

Cites Work

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• Well-posedness and exponential decay of solutions for the Blackstock-Crighton-Kuznetsov equation
• Well-posedness for the abstract Blackstock-Crighton-Westervelt equation
• The Cauchy problem for the Moore-Gibson-Thompson equation in the dissipative case
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• Asymptotic profiles for wave equations with strong damping
• Nonlinear acoustics: Blackstock-Crighton equations with a periodic forcing term
• Remarks on large time behavior of the \(L^2\)-norm of solutions to strongly damped wave equations.
• Optimal regularity and exponential stability for the Blackstock-Crighton equation in \(L_{p}\)-spaces with Dirichlet and Neumann boundary conditions
• Methods for Partial Differential Equations
• Fundamental models in nonlinear acoustics part I. Analytical comparison
• Asymptotic behaviors for Blackstock's model of thermoviscous flow
• L2-blowup estimates of the wave equation and its application to local energy decay

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