Existence and uniqueness of analytic solution for Rayleigh-Taylor problem

DOI10.1016/j.jde.2007.03.004zbMath1117.35069OpenAlexW2047428917MaRDI QIDQ884400

Xuming Xie

Publication date: 6 June 2007

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

Full work available at URL: https://doi.org/10.1016/j.jde.2007.03.004

zbMATH Keywords

existenceuniquenessanalytic solutionCauchy-Kowalewski problemunsteady Rayleigh-Taylor problem

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Boundary value problems in the complex plane (30E25) Other free boundary flows; Hele-Shaw flows (76D27)

Cites Work

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• A note on a theorem of Nirenberg
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• Singularities in the classical Rayleigh-Taylor flow: formation and subsequent motion
• The existence and uniqueness of analytic solutions for a moving boundary problem for Hele-Shaw flows in the plane
• Well-posedness of the water-waves equations
• Generalized vortex methods for free-surface flow problems
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