Convexity and the Hele-Shaw equation

DOI10.1007/s42286-020-00031-zzbMath1476.35191arXiv2003.02618OpenAlexW3015835197MaRDI QIDQ2063888

Thomas Alazard

Publication date: 3 January 2022

Published in: Water Waves (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2003.02618

zbMATH Keywords

Lyapunov functionalsconvex functionsDirichlet-to-Neumann operatorshape derivative

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Existence, uniqueness, and regularity theory for incompressible inviscid fluids (76B03)

Related Items

Global existence in the Lipschitz class for the N-Peskin problem, Functional inequalities and strong Lyapunov functionals for free surface flows in fluid dynamics, Regularity for a special case of two-phase Hele-Shaw flow via parabolic integro-differential equations, Special issue dedicated to Walter Craig, Self-similar solutions for the Muskat equation

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