The condition on the stability of stationary lines in a curvature flow in the whole plane

DOI10.1016/j.jde.2007.02.012zbMath1120.35050OpenAlexW2036394955MaRDI QIDQ884398

Masaharu Taniguchi, Mitsunori Nara

Publication date: 6 June 2007

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2007.02.012

zbMATH Keywords

asymptotic behaviorheat equationdecay estimatesmoving curvescurvature flow

Mathematics Subject Classification ID

Related Items (7)

ON THE STABILITY OF STATIONARY LINE AND GRIM REAPER IN PLANAR CURVATURE FLOW ⋮ Mean curvature flow of entire graphs evolving away from the heat flow ⋮ On an asymptotically log-periodic solution to the graphical curve shortening flow equation ⋮ Fractional mean curvature flow of Lipschitz graphs ⋮ The evolutionary properties on solitary solutions of nonlinear evolution equations ⋮ Stability of Planar Waves in the Allen–Cahn Equation ⋮ Anisotropic mean curvature flow of Lipschitz graphs and convergence to self-similar solutions

Cites Work

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• Stability of traveling curved fronts in a curvature flow with driving force
• Stability of a traveling wave in curvature flows for spatially non-decaying initial perturbations
• Mean curvature evolution of entire graphs
• Space-time behaviour in problems of hydrodynamic type: a case study
• On stabilisation of solutions of the Cauchy problem for parabolic equations
• Curvature evolution of plane curves with prescribed opening angle
• A NEW PROOF OF THE THEOREM ON THE STABILIZATION OF THE SOLUTION OF THE CAUCHY PROBLEM FOR THE HEAT EQUATION

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