Spiral Traveling Wave Solutions of Nonlinear Diffusion Equations Related to a Model of Spiral Crystal Growth
Spiral Traveling Wave Solutions of Nonlinear Diffusion Equations Related to a Model of Spiral Crystal Growth
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DOI：
10.2977/prims/1145476046
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发表时间：
2003-12
影响因子：
1.2
通讯作者：
T. Ogiwara;Ken-Ichi Nakamura
中科院分区：
文献类型：
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作者：
T. Ogiwara;Ken-Ichi Nakamura
本文讨论了与晶体表面螺位错运动模型有关的非线性扩散方程。我们证明了一个旋转和增长的解的存在性，唯一性和渐近稳定性与时间无关的配置文件，我们称之为螺旋行波解。
This paper is concerned with nonlinear diffusion equations related to a model of the motion of screw dislocations on crystal surfaces. We prove the existence, uniqueness and asymptotic stability of a rotating and growing solution with a timeindependent profile, which we call a spiral traveling wave solution.