On the interior derivative blow-up for the curvature evolution of capillary surfaces

DOI10.1090/S0002-9939-98-04084-2zbMath0992.35015MaRDI QIDQ4383066

Naoyuki Ishimura, Keisui Asai

Publication date: 24 March 1998

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

capillary surfacescurvature evolutionderivative blow-up

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60) Variational problems concerning extremal problems in several variables; Yang-Mills functionals (58E15)

Related Items (6)

Continuation beyond interior gradient blow-up in a semilinear parabolic equation ⋮ Single-point gradient blow-up on the boundary for diffusive Hamilton-Jacobi equations in planar domains ⋮ Gradient blow-up rates and sharp gradient estimates for diffusive Hamilton-Jacobi equations ⋮ Double grow-up and global convergence of solutions for a parabolic prescribed mean curvature problem ⋮ Global solutions of inhomogeneous Hamilton-Jacobi equations ⋮ Rate estimates of gradient blowup for a heat equation with exponential nonlinearity

Cites Work

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• Examples of parabolic problems with blowing-up derivatives
• Evolutionary existence proofs for the pendant drop and \(n\)-dimensional catenary problems
• Derivative blow-up and beyond for quasilinear parabolic equations
• Interior derivative blow-up for quasilinear parabolic equations
• Quasisolutions and global attractor of reaction-diffusion systems
• The problem of dirichlet for quasilinear elliptic differential equations with many independent variables

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