On a free boundary problem for the curvature flow with driving force

DOI10.1007/s00205-015-0920-8zbMath1336.35371OpenAlexW1924390996MaRDI QIDQ5962885

Masahiko Shimojo, Hiroshi Matano, Chang-Hong Wu, Jong-Shenq Guo

Publication date: 25 February 2016

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00205-015-0920-8

zbMATH Keywords

asymptotic behaviorself-similar solutionscontact angle conditionintersection numbercurve shortening equation

Mathematics Subject Classification ID

Free boundary problems for PDEs (35R35)

Related Items

Global stability of traveling waves for an area preserving curvature flow with contact angle condition, Curvature flow with driving force on fixed boundary points, On curvature flow with driving force starting as singular initial curve in the plane, Asymptotic behavior of solutions to the logarithmic diffusion equation with a linear source, A note on traveling waves for area-preserving geometric flows, Existence of non-convex traveling waves for surface diffusion of curves with constant contact angles, 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

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Darcy's flow with prescribed contact angle: well-posedness and lubrication approximation
• Motion by curvature of planar curves with end points moving freely on a line
• Degenerate parabolic equations
• On the formation of singularities in the curve shortening flow
• Anisotropic capillary surfaces with wetting energy
• Asymptotic behavior for singularities of the mean curvature flow
• The heat equation shrinking convex plane curves
• The heat equation shrinks embedded plane curves to round points
• Exact solutions for the kinematic model of autowaves in two-dimensional excitable media
• On the Navier-Stokes initial value problem. I
• On the nonstationary Navier-Stokes systems
• Liquid drops sliding down an inclined plane
• On a two-point free boundary problem
• The zero set of a solution of a parabolic equation.
• Long time asymptotics for forced curvature flow with applications to the motion of a superconducting vortex
• The volume preserving mean curvature flow near spheres
• Lubrication approximation with prescribed nonzero contact anggle
• A Free-Boundary Problem for the Heat Equation Arising in Flame Propagation
• The self-similar expanding curve for the curvature flow equation
• EVOLUTION OF GRAIN BOUNDARIES
• Continuum models for the contact line problem
• Analytic semigroups and optimal regularity in parabolic problems