Spiral traveling wave solutions of nonlinear diffusion equations related to a model of spiral cyrstal growth
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Publication:1884463
DOI10.2977/prims/1145476046zbMath1056.35026OpenAlexW1971385356MaRDI QIDQ1884463
Toshiko Ogiwara, Ken-Ichi Nakamura
Publication date: 1 November 2004
Published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.2977/prims/1145476046
Asymptotic behavior of solutions to PDEs (35B40) Nonlinear parabolic equations (35K55) Reaction-diffusion equations (35K57) Statistical mechanics of crystals (82D25)
Related Items (3)
Towards modelling spiral motion of open plane curves ⋮ Steady State and Long Time Convergence of Spirals Moving by Forced Mean Curvature Motion ⋮ A level set approach reflecting sheet structure with single auxiliary function for evolving spirals on crystal surfaces
Cites Work
- Asymptotic behavior and stability of solutions of semilinear diffusion equations
- Geometric theory of semilinear parabolic equations
- Convergence to periodic fronts in a class of semiliner parabolic equations
- Existence, uniqueness, and asymptotic stability of traveling waves in nonlocal evolution equations
- Monotonicity and convergence results in order-preserving systems in the presence of symmetry
- Semilinear Parabolic Problems Define Semiflows on C k Spaces
- Gradient dynamics of tilted Frenkel-Kontorova models
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