Existence and uniqueness of small energy weak solution to multi-dimensional compressible Navier-Stokes equations with large external potential force

DOI10.1063/1.4960749zbMath1351.35101OpenAlexW2507287592MaRDI QIDQ2820879

Ka-Luen Cheung, Anthony Suen

Publication date: 12 September 2016

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.4960749

zbMATH Keywords

uniquenessweak solutionscompressible Navier-Stokes equationsglobal-in-time existence

Mathematics Subject Classification ID

Navier-Stokes equations (35Q30) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Initial value problems for nonlinear higher-order PDEs (35G25) Weak solutions to PDEs (35D30) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

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Refined blow-up criteria for the three-dimensional viscous compressible flows with large external potential force and general pressure, Some Serrin type blow‐up criteria for the three‐dimensional viscous compressible flows with large external potential force, Existence, stability and long time behaviour of weak solutions of the three-dimensional compressible Navier-Stokes equations with potential force

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