Convergence to the superposition of rarefaction waves and contact discontinuity for the 1-D compressible Navier-Stokes-Korteweg system
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Publication:2019147
DOI10.1016/j.jmaa.2013.10.073zbMath1308.76229OpenAlexW2042201699MaRDI QIDQ2019147
Linjie Xiong, Zhengzheng Chen, Yi-Jie Meng
Publication date: 27 March 2015
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jmaa.2013.10.073
energy estimatescontact discontinuityrarefaction waveNavier-Stokes-Korteweg systemvanishing capillarity-viscosity limit
PDEs in connection with fluid mechanics (35Q35) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10)
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Stability of the planar rarefaction wave to three-dimensional full compressible Navier-Stokes-Korteweg equations, 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, Asymptotic behavior of solutions for the 1-D isentropic Navier-Stokes-Korteweg equations with free boundary, Asymptotic stability of viscous contact wave and rarefaction waves for the system of heat-conductive ideal gas without viscosity, Stationary solutions to outflow problem for 1-d compressible fluid models of Korteweg type: existence, stability and convergence rate, 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
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