The global Cauchy problem for compressible Euler equations with a nonlocal dissipation

DOI10.1142/S0218202519500064zbMath1414.35155arXiv1801.04683OpenAlexW2963440714WikidataQ128935159 ScholiaQ128935159MaRDI QIDQ4630572

Young-Pil Choi

Publication date: 27 March 2019

Published in: Mathematical Models and Methods in Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1801.04683

zbMATH Keywords

global existencelarge-time behaviornonlocal dissipationEuler alignment system

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Asymptotic behavior of solutions to PDEs (35B40) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Developmental biology, pattern formation (92C15) Many-body theory; quantum Hall effect (81V70) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10) Blow-up in context of PDEs (35B44) Euler equations (35Q31) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Strong solutions to PDEs (35D35) Classical solutions to PDEs (35A09)

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