Two-dimensional Euler equations in a time dependent domain

DOI10.1006/jdeq.1999.3702zbMath0958.35096OpenAlexW2028276015MaRDI QIDQ1570747

Cheng He, Ling Hsiao

Publication date: 2 April 2001

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jdeq.1999.3702

zbMATH Keywords

existencetwo-dimensional Euler equationsincompressible fluid in a time dependent domainuniqueness and regularity of weak solutions

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) PDEs of mixed type (35M10) Euler-Poisson-Darboux equations (35Q05)

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Cites Work

• Existence and periodicity of weak solutions of the Navier-Stokes equations in a time dependent domain
• Ordinary differential equations, transport theory and Sobolev spaces
• On existence and uniqueness of a global classical solution of the two- dimensional Euler equation in a time dependent domain
• On the Navier-Stokes equations in noncylindrical domains
• Mathematical theory of incompressible nonviscous fluids
• Linear transport equations with initial values in Sobolev spaces and application to the Navier-Stokes equations
• On classical solutions of the two-dimensional non-stationary Euler equation
• Structure of the set of stationary solutions of the navier‐stokes equations
• Regularity of weak solutions of the compressible isentropic navier-stokes equations
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