JournalsprimsVol. 39, No. 4pp. 767–783

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

  • Toshiko Ogiwara

    Josai University, Saitama, Japan
  • Ken-Ichi Nakamura

    University of Electro-Communications, Tokyo, Japan
Spiral Traveling Wave Solutions of Nonlinear Diffusion Equations Related to a Model of Spiral Crystal Growth cover
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Abstract

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.

Cite this article

Toshiko Ogiwara, Ken-Ichi Nakamura, Spiral Traveling Wave Solutions of Nonlinear Diffusion Equations Related to a Model of Spiral Crystal Growth. Publ. Res. Inst. Math. Sci. 39 (2003), no. 4, pp. 767–783

DOI 10.2977/PRIMS/1145476046