On the free boundary problem of 1D compressible Navier-Stokes equations with heat conductivity dependent of temperature

DOI10.4310/CMS.2020.v18.n7.a9zbMath1464.35187OpenAlexW3112462905MaRDI QIDQ2023520

Yulin Ye, Zilai Li

Publication date: 3 May 2021

Published in: Communications in Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4310/cms.2020.v18.n7.a9

zbMATH Keywords

global strong solutioncompressible Navier-Stokes equationsfree boundarylarge-time behaviortemperature-dependent heat conductivity

Mathematics Subject Classification ID

Gas dynamics (general theory) (76N15) Navier-Stokes equations (35Q30) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Free boundary problems for PDEs (35R35) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10) Strong solutions to PDEs (35D35) Diffusive and convective heat and mass transfer, heat flow (80A19)

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