Free boundary problem for one‐dimensional compressible Navier–Stokes equations with temperature‐dependent viscosity and heat conductivity

DOI10.1002/MMA.7625zbMath1479.35603OpenAlexW3175868382MaRDI QIDQ5015801

Yongqian Zhang, Tuowei Chen

Publication date: 9 December 2021

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.7625

zbMATH Keywords

asymptotic solutionglobal strong solutioncompressible Navier-Stokes equationsfree boundarytemperature-dependent transport coefficientsChapman-Enskog law

Mathematics Subject Classification ID

Non-Newtonian fluids (76A05) Asymptotic behavior of solutions to PDEs (35B40) Gas dynamics (general theory) (76N15) Navier-Stokes equations (35Q30) Hyperbolic conservation laws (35L65) 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) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Strong solutions to PDEs (35D35)

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