Periodic traveling waves of a mean curvature equation in high dimensional cylinders

DOI10.1016/J.AMC.2011.04.004zbMath1225.35137OpenAlexW2047755657MaRDI QIDQ548001

Bendong Lou, Jingjing Cai

Publication date: 27 June 2011

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2011.04.004

zbMATH Keywords

radial solutionscapillarity boundary conditiontime-global existence

Mathematics Subject Classification ID

Periodic solutions to PDEs (35B10) Initial value problems for second-order parabolic equations (35K15) Traveling wave solutions (35C07) Quasilinear parabolic equations with mean curvature operator (35K93)

Related Items (3)

Uniform gradient estimates of generalized parabolic mean curvature type equations with oblique boundary value problems ⋮ Entire solutions of a mean curvature flow connecting two periodic traveling waves ⋮ Periodic solutions for a prescribed mean curvature equation with multiple delays

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Periodic traveling waves in a two-dimensional cylinder with saw-toothed boundary and their homogenization limit
• Non-parametric mean curvature evolution with boundary conditions
• Nonlinear Neumann boundary conditions for quasilinear degenerate elliptic equations and applications
• Translating surfaces of the non-parametric mean curvature flow with prescribed contact angle
• Large time behavior of solutions to parabolic equations with Neumann boundary conditions
• On the boundary ergodic problem for fully nonlinear equations in bounded domains with general nonlinear Neumann boundary conditions
• Homogenization of degenerate second-order PDE in periodic and almost periodic environments and applications

This page was built for publication: Periodic traveling waves of a mean curvature equation in high dimensional cylinders