On the shock wave spectrum for isentropic gas dynamics with capillarity
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Publication:1014733
DOI10.1016/j.jde.2008.07.028zbMath1163.35454arXiv0806.2411OpenAlexW2024808498MaRDI QIDQ1014733
Publication date: 29 April 2009
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0806.2411
PDEs in connection with fluid mechanics (35Q35) Stability in context of PDEs (35B35) Shock waves and blast waves in fluid mechanics (76L05) Navier-Stokes equations (35Q30) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10)
Related Items (13)
On the spectral stability of standing waves of the one-dimensional \(M^5\)-model ⋮ Dissipative structure of one-dimensional isothermal compressible fluids of Korteweg type ⋮ Evans function computation for the stability of travelling waves ⋮ Numerical investigations of dispersive shocks and spectral analysis for linearized quantum hydrodynamics ⋮ Existence of standing and traveling waves in quantum hydrodynamics with viscosity ⋮ Traveling waves for quantum hydrodynamics with nonlinear viscosity ⋮ Spectral stability of weak dispersive shock profiles for quantum hydrodynamics with nonlinear viscosity ⋮ Dispersive shocks in quantum hydrodynamics with viscosity ⋮ One-dimensional stability of viscous strong detonation waves ⋮ One-dimensional stability of parallel shock layers in isentropic magnetohydrodynamics ⋮ Spectrum of the M5-traveling waves ⋮ Spectral stability of small-amplitude dispersive shocks in quantum hydrodynamics with viscosity ⋮ Spectral analysis of dispersive shocks for quantum hydrodynamics with nonlinear viscosity
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