Free boundary problem for quasilinear parabolic equation with fixed angle of contact to a boundary

DOI10.1016/S0362-546X(99)00422-8zbMath1005.35094MaRDI QIDQ5946389

Yoshihito Kohsaka

Publication date: 14 February 2003

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

zbMATH Keywords

shooting methodselfsimilar solutionstrong maximum principle

Mathematics Subject Classification ID

Heat equation (35K05) Free boundary problems for PDEs (35R35)

Related Items (8)

Mean curvature flow by the Allen–Cahn equation ⋮ Convergence in a quasilinear parabolic equation with Neumann boundary conditions ⋮ The curve shortening problem under Robin boundary condition ⋮ Homogenization limit of a parabolic equation with nonlinear boundary conditions ⋮ Convergence in a quasilinear parabolic equation with time almost periodic boundary conditions ⋮ Convergence to the grim reaper for a curvature flow with unbounded boundary slopes ⋮ On a curvature flow in a band domain with unbounded boundary slopes ⋮ On a two-point free boundary problem

Cites Work

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• Translating surfaces of the non-parametric mean curvature flow with prescribed contact angle
• Convergence to translating solutions for a class of quasilinear parabolic boundary problems
• Extinction and focusing behaviour of spherical and annular flames described by a free boundary problem
• Liquid Flow in Partially Saturated Porous Media
• Classical solutions to a multidimensional free boundary problem arising in combustion theory
• A Free Boundary Focusing Problem
• Curvature evolution of plane curves with prescribed opening angle

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