Dept. Math, Hokkaido Univ. EPrints Server

SELFSIMILAR EXPANDING SOLUTIONS IN A SECTOR FOR A CRYSTALLINE FLOW

Preprint Series # 649
Giga, Yoshikazu and Giga, Mi-Ho and Hontani, Hidekata SELFSIMILAR EXPANDING SOLUTIONS IN A SECTOR FOR A CRYSTALLINE FLOW. (2004);

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Abstract

For a given sector a selfsimilar expanding solution to a crystalline flow is constructed. The solution is shown to be unique. Because of selfsimilarity the problem is reduced to solve a system of algebraic equations of degree two. The solution is constructed by a method of continuity and obtained by solving associated ordinary differential equations. The selfsimilar expanding solution is useful to construct a crystalline flow from an arbitrary polygon not necessarily admissible.

Item Type:Preprint
Additional Information:30 copies needed
Uncontrolled Keywords:crystalline flow, selfsimilar expanding solutions, a priori estimate
Subjects:35-xx PARTIAL DIFFERENTIAL EQUATIONS
ID Code:198