Nonlinear stability of viscous contact wave for the one-dimensional compressible fluid models of Korteweg type
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Publication:2867870
DOI10.1002/mma.2750zbMath1278.35154OpenAlexW1988877521MaRDI QIDQ2867870
Zhengzheng Chen, Qing-Hua Xiao
Publication date: 20 December 2013
Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1002/mma.2750
Related Items (18)
Stability of the planar rarefaction wave to three-dimensional full compressible Navier-Stokes-Korteweg equations ⋮ Asymptotic stability of a viscous contact wave for the one-dimensional compressible Navier-Stokes equations for a reacting mixture ⋮ Global smooth solutions to the nonisothermal compressible fluid models of Korteweg type with large initial data ⋮ Stationary solutions to the one-dimensional full compressible Navier-Stokes-Korteweg equations in the half line ⋮ Zero‐viscosity‐capillarity limit towards rarefaction wave for the full Navier–Stokes–Korteweg system of compressible fluids ⋮ Stability of viscous shock wave under periodic perturbation for compressible Navier–Stokes–Korteweg system ⋮ Global stability of combination of a viscous contact wave with rarefaction waves for the compressible fluid models of Korteweg type ⋮ Asymptotic stability of the stationary solution to an out-flow problem for the Navier-Stokes-Korteweg equations of compressible fluids ⋮ Asymptotic behavior of solutions for the 1-D isentropic Navier-Stokes-Korteweg equations with free boundary ⋮ Global existence, uniqueness and exponential stability of solutions for the one-dimensional Navier-Stokes equations with capillarity ⋮ Asymptotic stability of viscous contact wave and rarefaction waves for the system of heat-conductive ideal gas without viscosity ⋮ Nonlinear stability of traveling wave solutions for the compressible fluid models of Korteweg type ⋮ Vanishing viscosity limit to rarefaction waves for the full compressible fluid models of Korteweg type ⋮ Stationary solutions to outflow problem for 1-d compressible fluid models of Korteweg type: existence, stability and convergence rate ⋮ Large-time behavior of smooth solutions to the isothermal compressible fluid models of Korteweg type with large initial data ⋮ Stability of stationary solutions and viscous shock wave in the inflow problem for isentropic Navier-Stokes-Korteweg system ⋮ Asymptotic behavior of solutions to the full compressible Navier-Stokes-Korteweg equations in the half space ⋮ Global classical solutions to the one-dimensional compressible fluid models of Korteweg type with large initial data
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