Asymptotic stability of viscous shock wave for a one-dimensional isentropic model of viscous gas with density dependent viscosity
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Publication:554755
DOI10.4310/MAA.2010.v17.n3.a3zbMath1242.76059MaRDI QIDQ554755
Publication date: 22 July 2011
Published in: Methods and Applications of Analysis (Search for Journal in Brave)
Full work available at URL: https://projecteuclid.org/euclid.maa/1306182407
PDEs in connection with fluid mechanics (35Q35) Shock waves and blast waves in fluid mechanics (76L05) Interfacial stability and instability in hydrodynamic stability (76E17) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10)
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Boundary layer solutions for non-viscous and heat-conductive gas in half space ⋮ Linear stability of viscous shock wave for 1-D compressible Navier-Stokes equations with Maxwell’s law ⋮ Contraction property for large perturbations of shocks of the barotropic Navier-Stokes system ⋮ Uniqueness and stability of entropy shocks to the isentropic Euler system in a class of inviscid limits from a large family of Navier-Stokes systems ⋮ Well-posedness of the Riemann problem with two shocks for the isentropic Euler system in a class of vanishing physical viscosity limits ⋮ Time-asymptotic stability of composite waves of viscous shock and rarefaction for barotropic Navier-Stokes equations ⋮ Stability of a composite wave of two separate strong viscous shock waves for 1-D isentropic Navier-Stokes system ⋮ Asymptotics of the 1D compressible Navier-Stokes equations with density-dependent viscosity ⋮ Nonlinear stability of large amplitude viscous shock wave for general viscous gas ⋮ Stability of large-amplitude viscous shock under periodic perturbation for 1-d isentropic Navier-Stokes equations ⋮ Asymptotic stability of the viscous shock wave for the one-dimensional compressible Navier-Stokes equations with density dependent viscous coefficient on the half space ⋮ Spectral stability of hydraulic shock profiles
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