Temporal boundary value problems in interfacial fluid dynamics

DOI10.1080/00036811.2011.641176zbMath1292.35235OpenAlexW2068550729WikidataQ58272653 ScholiaQ58272653MaRDI QIDQ2841182

David M. Ambrose, Timur Milgrom

Publication date: 24 July 2013

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036811.2011.641176

zbMATH Keywords

PDEboundary value problemsBoussinesq equationsvortex sheetfluid dynamics

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Vortex flows for incompressible inviscid fluids (76B47) Nonlinear elliptic equations (35J60)

Related Items

Small strong solutions for time-dependent mean field games with local coupling ⋮ Existence theory for non-separable mean field games in Sobolev spaces ⋮ Global solutions of the two-dimensional Kuramoto-Sivashinsky equation with a linearly growing mode in each direction ⋮ Strong solutions for time-dependent mean field games with non-separable Hamiltonians ⋮ Global solutions and ill-posedness for the Kaup system and related Boussinesq systems ⋮ Global existence and analyticity for the 2D Kuramoto-Sivashinsky equation

Cites Work

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• Régularité du problème de Kelvin–Helmholtz pour l'équation d'Euler 2d
• Boussinesq equations and other systems for small-amplitude long waves in nonlinear dispersive media: II. The nonlinear theory
• Mathematical analysis of vortex sheets

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