Global existence and large-time behavior of solutions to the 1D compressible Navier-Stokes equations with density-dependent viscosity in the half space

DOI10.3934/cpaa.2024001OpenAlexW4390614932MaRDI QIDQ6120953

Changguo Chen, Zhengzheng Chen

Publication date: 21 February 2024

Published in: Communications on Pure and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/cpaa.2024001

zbMATH Keywords

compressible Navier-Stokes equationslarge-time behaviorlarge initial perturbationimpermeable wall problem

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Asymptotic methods, singular perturbations applied to problems in fluid mechanics (76M45) Gas dynamics (general theory) (76N15) Navier-Stokes equations (35Q30) Hyperbolic conservation laws (35L65) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Perturbations in context of PDEs (35B20) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10) Boundary-layer theory for compressible fluids and gas dynamics (76N20) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Strong solutions to PDEs (35D35)

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