Kreiss symmetrizer and boundary conditions for the Euler-Korteweg system in a half space

DOI10.1016/j.jde.2010.02.017zbMath1198.35186OpenAlexW1990181306MaRDI QIDQ984433

Corentin Audiard

Publication date: 19 July 2010

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2010.02.017

zbMATH Keywords

boundary conditionsdispersionhyperbolicityEuler-Korteweg equationsKreiss symmetrizers

Mathematics Subject Classification ID

A priori estimates in context of PDEs (35B45) Capillarity (surface tension) for incompressible viscous fluids (76D45) Symmetries, invariants, etc. in context of PDEs (35B06) Euler equations (35Q31)

Related Items (5)

Zero Mach number limit of the compressible Euler-Korteweg equations ⋮ On the dynamic Rayleigh-Taylor instability in the Euler-Korteweg model ⋮ On Rayleigh-Taylor instability in Navier-Stokes-Korteweg equations ⋮ Asymptotic behavior of solutions to the Euler-Korteweg equations with time-dependent damping ⋮ Explicitly self-similar solutions for the Euler/Navier-Stokes-Korteweg equations in \(R^N\)

Cites Work

• Perturbation theory for linear operators.
• Weakly stable multidimensional shocks
• Large viscous boundary layers for noncharacteristic nonlinear hyperbolic problems
• The stability of multidimensional shock fronts
• On the well-posedness for the Euler-Korteweg model in several space dimensions
• Initial boundary value problems for hyperbolic systems
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