Recasting a Brinkman-based acoustic model as the damped Burgers equation

DOI10.3934/eect.2016014zbMath1348.35197OpenAlexW2516223468MaRDI QIDQ330427

David Rossmanith, Ashok Puri

Publication date: 26 October 2016

Published in: Evolution Equations and Control Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/eect.2016014

zbMATH Keywords

initial-boundary value problemBurgers equationnonlinear PDEtraveling wave solutionBrinkman's equation

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Flows in porous media; filtration; seepage (76S05) Navier-Stokes equations (35Q30)

Related Items (2)

Poroacoustic waves under a mixture-theoretic based reformulation of the Jordan-Darcy-Cattaneo model ⋮ Poroacoustic solitary waves under the unidirectional Darcy-Jordan model

Cites Work

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• Some remarks on nonlinear poroacoustic phenomena
• Effect of anisotropic permeability on Darcy's law
• Approximate solution of the damped Burgers equation
• On a quasi-linear parabolic equation occurring in aerodynamics

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