Existence of strong solution for the Cauchy problem of fully compressible Navier-Stokes equations in two dimensions

DOI10.3934/dcdsb.2020348zbMath1471.35219OpenAlexW3103681312MaRDI QIDQ2033858

Zhilei Liang, Jiangyu Shuai

Publication date: 18 June 2021

Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcdsb.2020348

zbMATH Keywords

existenceNavier-Stokes equationsCauchy problemstrong solution

Mathematics Subject Classification ID

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) Compressible Navier-Stokes equations (76N06)

Related Items (4)

Strong solutions to the 2D Cauchy problem of compressible non-isothermal nematic liquid crystal flows with vacuum at infinity ⋮ Local well‐posedness to the 2D Cauchy problem of nonhomogeneous heat‐conducting Navier–Stokes and magnetohydrodynamic equations with vacuum at infinity ⋮ Local well-posedness to the 2D Cauchy problem of non-isothermal nonhomogeneous nematic liquid crystal flows with vacuum at infinity ⋮ Local well-posedness for the 2D Cauchy problem of full compressible magnetohydrodynamic equations with vacuum at infinity

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