Relaxation of the curve shortening flow via the parabolic Ginzburg-Landau equation
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Publication:2471731
DOI10.1007/s00526-007-0118-5zbMath1141.53063OpenAlexW1969517086WikidataQ115387700 ScholiaQ115387700MaRDI QIDQ2471731
Publication date: 18 February 2008
Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)
Full work available at URL: http://hdl.handle.net/11858/00-001M-0000-0013-63A5-5
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Cites Work
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- Curve shortening makes convex curves circular
- The heat equation shrinking convex plane curves
- The heat equation shrinks embedded plane curves to round points
- Vector-valued local minimizers of nonconvex variational problems
- Generation and propagation of interfaces for reaction-diffusion equations
- A distance comparison principle for evolving curves
- On three-phase boundary motion and the singular limit of a vector-valued Ginzburg-Landau equation
- Convergence of the Allen-Cahn equation to Brakke's motion by mean curvature
- Motion by mean curvature by scaling a nonlocal equation: Convergence at all times in the two-dimensional case
- Quasi-optimal error estimates for the mean curvature flow with a forcing term
- From constant mean curvature hypersurfaces to the gradient theory of phase transitions.
- Convergence of phase interfaces in the van der Waals-Cahn-Hilliard theory.
- Phase transitions and generalized motion by mean curvature
- The Motion of a Surface by Its Mean Curvature. (MN-20)
- Convergence Past Singularities for a Fully Discrete Approximation of Curvature-Driven Interfaces
- Front Propagation and Phase Field Theory
- A quasi-optimal error estimate for a discrete singularly perturbed approximation to the prescribed curvature problem
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