Qualitative analysis of solution for the full compressible Euler equations in RN

DOI10.1512/iumj.2018.67.6214zbMath1406.35250OpenAlexW2793469885MaRDI QIDQ4962369

Xinglong Wu, Bo-ling Guo

Publication date: 2 November 2018

Published in: Indiana University Mathematics Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1512/iumj.2018.67.6214

zbMATH Keywords

stabilitylower semicontinuityBesov spaceslocal well-posednessblow-up criterionfull compressible Euler equationspolytropic fluidOsgood modulus of continuity

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) Wave equation (35L05) Initial value problems for nonlinear higher-order PDEs (35G25) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10) Blow-up in context of PDEs (35B44) Euler equations (35Q31)

Related Items (4)

Absence of singularities in solutions for the compressible Euler equations with source terms in ⋮ Singularities in finite time of the full compressible Euler equations in \(\mathbb{R}^d\) ⋮ Global smooth solutions for the Chaplygin gas equations with source terms in \(\mathbb{R}^d\) ⋮ Isentropic approximation and Gevrey regularity for the full compressible Euler equations in \(\mathbb{R}^N\)

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