On a nonlinear parabolic equation arising from anisotropic plane curve evolution
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Publication:2256004
DOI10.1016/j.jde.2014.12.010zbMath1308.53102OpenAlexW2035531627MaRDI QIDQ2256004
Publication date: 18 February 2015
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jde.2014.12.010
self-similar solutionanisotropic plane curve evolutiontranslational self-similar solutiontype-one blow-uptype-two blow-up
Nonlinear parabolic equations (35K55) Initial value problems for second-order parabolic equations (35K15)
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Cites Work
- 2\(\pi\)-periodic self-similar solutions for the anisotropic affine curve shortening problem
- Geometric expansion of convex plane curves
- On the formation of singularities in the curve shortening flow
- Expanding convex immersed closed plane curves
- Blow-up of solutions of nonlinear degenerate parabolic equations
- The heat equation shrinking convex plane curves
- Evolving convex curves
- Convex curves moving homothetically by negative powers of their curvature
- Existence of selfsimilar shrinking curves for anisotropic curvature flow equations
- Convex curves moving translationally in the plane
- Contracting convex immersed closed plane curves with slow speed of curvature
- The zero set of a solution of a parabolic equation.
- Blow-up in a degenerate parabolic equation
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