Spiral Traveling Wave Solutions of Nonlinear Diﬀusion Equations Related to a Model of Spiral Crystal Growth | Zendy

Toshiko Ogiwara | Zendy; Ken-Ichi Nakamura | Zendy

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Spiral Traveling Wave Solutions of Nonlinear Diﬀusion Equations Related to a Model of Spiral Crystal Growth

Author(s) -

Toshiko Ogiwara,

Ken-Ichi Nakamura

Publication year - 2003

Publication title -

publications of the research institute for mathematical sciences

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.786

H-Index - 39

eISSN - 1663-4926

pISSN - 0034-5318

DOI - 10.2977/prims/1145476046

Subject(s) - uniqueness , spiral (railway) , traveling wave , mathematics , nonlinear system , spiral wave , mathematical analysis , stability (learning theory) , motion (physics) , classical mechanics , physics , quantum mechanics , machine learning , computer science

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.

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