On the Convexity and on the Successive Approximation of Solutions in a Free–Boundary Problem with Two Fluid Phases

DOI10.1080/03605308908820671zbMath0713.35101OpenAlexW2032174991MaRDI QIDQ3198266

Andrew Acker

Publication date: 1989

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03605308908820671

zbMATH Keywords

successive approximationconvex hypersurfacesBernoulli's law

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) Free boundary problems for PDEs (35R35) Qualitative properties of solutions to partial differential equations (35B99)

Related Items (5)

Convexity of free boundaries with bernoulli type boundary condition ⋮ A trial-free-boundary method for computing Batchelor flows ⋮ On the uniqueness, monotonicity, starlikeness, and convexity of solutions for a nonlinear boundary value problem in elliptic PDEs ⋮ On the multi-layer fluid problem: regularlty, uniqueness, convexity, and successive approximation of solutions ⋮ On the existence of convex classical solutions for multilayer free boundary problems with general nonlinear joining conditions

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