On the time of existence of solutions of the Euler-Korteweg system

DOI10.5802/afst.1696zbMath1504.35245arXiv1906.01385OpenAlexW4221123422MaRDI QIDQ2145188

Corentin Audiard

Publication date: 17 June 2022

Published in: Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1906.01385

zbMATH Keywords

Euler equationsdispersioncapillaritytime of existence

Mathematics Subject Classification ID

Capillarity (surface tension) for incompressible inviscid fluids (76B45) General theory of rotating fluids (76U05) 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) Blow-up in context of PDEs (35B44) Euler equations (35Q31) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

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