On the vanishing viscosity limit for acoustic phenomena in a bounded region

DOI10.1007/BF00250785zbMath0475.76079OpenAlexW2020942272MaRDI QIDQ1159542

Giuseppe Geymonat, Enrique Sanchez-Palencia

Publication date: 1981

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00250785

zbMATH Keywords

initial-boundary value problemessential spectrumbarotropicbounded regionlinearized vibrationsvanishing viscosity limit for acoustic phenomena

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Hydro- and aero-acoustics (76Q05)

Related Items

Transport and propagation of a perturbation of a flow of a compressible fluid in a bounded region ⋮ Small-time global exact controllability of the Navier-Stokes equation with Navier slip-with-friction boundary conditions ⋮ Analyticity of the semigroup generated by the operator of a viscous compressible fluid ⋮ Spectral properties of certain stiff problems in elasticity and acoustics ⋮ On the global null controllability of a Navier-Stokes system with Navier slip boundary conditions ⋮ On the controllability of the 2-D incompressible Navier-Stokes equations with the Navier slip boundary conditions

Cites Work

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• The essential spectrum of elliptic systems of mixed order
• Boundary problems for systems of partial differential operators of mixed order
• Weakly semi-bounded boundary problems and sesquilinear forms
• Interior estimates for elliptic systems of partial differential equations
• Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions II

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