Stability of viscous contact wave for compressible navier-stokes system of general gas with free boundary

This paper is concerned with the large time behavior of solutions of the Cauchy problem to the one‐dimensional compressible fluid models of Korteweg type, which governs the motions of the compressible fluids with internal capillarity. When the corresponding Riemann problem for the Euler system admits a contact discontinuity wave, it is shown that the viscous contact wave corresponding to the contact discontinuity is asymptotically stable provided that the strength of contact discontinuity and the initial perturbation are suitably small. The analysis is based on the elementary L2‐energy method together with continuation argument. Copyright © 2013 John Wiley & Sons, Ltd.

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Nonlinear stability of viscous contact wave for the one‐dimensional compressible fluid models of Korteweg type

Chen

Xiao

2013

Math Methods in App Sciences

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Asymptotic behavior of solutions for the 1-D isentropic Navier–Stokes–Korteweg equations with free boundary

Hong

Choe

2021

Nonlinear Analysis: Real World Applications

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Local existence of solution to free boundary value problem for compressible Navier-Stokes equations

Liu

2012

Acta Mathematica Scientia

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Stability of viscous contact wave for compressible navier-stokes system of general gas with free boundary

Cited by 6 publications

References 23 publications

Nonlinear stability of viscous contact wave for the one‐dimensional compressible fluid models of Korteweg type

Nonlinear stability of viscous contact wave for the one‐dimensional compressible fluid models of Korteweg type

Asymptotic behavior of solutions for the 1-D isentropic Navier–Stokes–Korteweg equations with free boundary

Local existence of solution to free boundary value problem for compressible Navier-Stokes equations

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