Nonlinear acoustics: Blackstock-Crighton equations with a periodic forcing term
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Publication:2331287
DOI10.1007/s00021-019-0451-4zbMath1428.35349arXiv1710.06457OpenAlexW2965349463MaRDI QIDQ2331287
Publication date: 28 October 2019
Published in: Journal of Mathematical Fluid Mechanics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1710.06457
PDEs in connection with fluid mechanics (35Q35) Periodic solutions to PDEs (35B10) A priori estimates in context of PDEs (35B45) Resonance in context of PDEs (35B34) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10) Waves for incompressible viscous fluids (76D33)
Related Items (5)
Time-Periodic Weak Solutions for an Incompressible Newtonian Fluid Interacting with an Elastic Plate ⋮ Periodic solutions for the Blackstock-Crighton-Westervelt equation ⋮ Large-time asymptotic behaviors for linear Blackstock's model of thermoviscous flow ⋮ Well-posedness for the abstract Blackstock-Crighton-Westervelt equation ⋮ Periodic solutions and multiharmonic expansions for the Westervelt equation
Cites Work
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- Well-posedness and exponential decay of solutions for the Blackstock-Crighton-Kuznetsov equation
- A complement to the Fredholm theory of elliptic systems on bounded domains
- Optimal regularity and exponential stability for the Blackstock-Crighton equation in \(L_{p}\)-spaces with Dirichlet and Neumann boundary conditions
- Time-periodic flow of a viscous liquid past a body
- Nonlinear wave equation with damping: Periodic forcing and non‐resonant solutions to the Kuznetsov equation
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