Ill-posedness for the Cauchy problem of the two-dimensional compressible Navier-Stokes equations for an ideal gas

DOI10.1007/s41808-021-00136-7zbMath1479.35616OpenAlexW3213117114MaRDI QIDQ2061640

Tsukasa Iwabuchi, Takayoshi Ogawa

Publication date: 16 December 2021

Published in: Journal of Elliptic and Parabolic Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s41808-021-00136-7

zbMATH Keywords

critical Besov spacescompressible Navier-Stokes equationsdiscontinuityill-posednessideal gasthe Cauchy problem

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Ill-posed problems for PDEs (35R25) Navier-Stokes equations (35Q30) Nonlinear ill-posed problems (47J06) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10)

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