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Remark on stability of rarefaction waves to the one‐dimensional compressible Navier–Stokes equations with density‐dependent viscosity coefficient
Author(s) -
Dou Changsheng,
Jiu Quansen
Publication year - 2013
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.2781
Subject(s) - isentropic process , mathematics , compressibility , mathematical analysis , viscosity , rarefaction (ecology) , non dimensionalization and scaling of the navier–stokes equations , compressible flow , stability (learning theory) , navier–stokes equations , physics , mechanics , thermodynamics , ecology , machine learning , biology , computer science , species diversity
In this paper, we study one‐dimensional compressible isentropic Navier–Stokes equations with density‐dependent viscosity. We can obtain the asymptotic stability of rarefaction waves for the compressible isentropic Navier–Stokes equations when the power of viscosity coefficient α = 1 2 , which enlarge the range of α1 2 < α ≤ γ + 1 2in the article [Jiu Q, Wang Y, Xin ZP, Communication in Partial Differential Equations 2011; 36: 602‐634]. Copyright © 2013 John Wiley & Sons, Ltd.