Entropy bounded solutions to the one-dimensional compressible Navier-Stokes equations with zero heat conduction and far field vacuum

DOI10.1016/j.aim.2019.106923zbMath1433.35236arXiv1710.06571OpenAlexW2993172640MaRDI QIDQ2288075

Zhouping Xin, Jinkai Li

Publication date: 17 January 2020

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1710.06571

zbMATH Keywords

full compressible Navier-Stokes equationsglobal existence and uniquenessfar field vacuuminhomogeneous Sobolev spacesstrong solutions with bounded entropy

Mathematics Subject Classification ID

Gas dynamics (general theory) (76N15) Navier-Stokes equations (35Q30) Existence problems for PDEs: global existence, local existence, non-existence (35A01) 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)

Related Items (15)

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