The variational problem for a certain space-time functional defined on planar closed curves
DOI10.1016/J.JDE.2012.01.020zbMath1241.53058OpenAlexW2083591152MaRDI QIDQ414805
Publication date: 11 May 2012
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jde.2012.01.020
Nonlinear boundary value problems for ordinary differential equations (34B15) Variational methods applied to PDEs (35A15) Methods involving semicontinuity and convergence; relaxation (49J45) Nonlinear higher-order PDEs (35G20) Variational problems in applications to the theory of geodesics (problems in one independent variable) (58E10)
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Cites Work
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- Curve shortening makes convex curves circular
- On the formation of singularities in the curve shortening flow
- Singular perturbations of mean curvature flow
- The Allen-Cahn action functional in higher dimensions
- Some aspects of the variational nature of mean curvature flow
- The heat equation shrinking convex plane curves
- The heat equation shrinks embedded plane curves to round points
- Singularities of the curve shrinking flow for space curves
- Asymptotic shape of cusp singularities in curve shortening
- Relaxation of the curve shortening flow via the parabolic Ginzburg-Landau equation
- Sharp-interface limit of the Allen-Cahn action functional in one space dimension
- Action minimization and sharp-interface limits for the stochastic Allen-Cahn equation
- Large fluctuations for a nonlinear heat equation with noise
- Minimum action method for the study of rare events
- Higher multiplicity in the one-dimensional Allen-Cahn action functional
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