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);
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.
|Additional Information:||30 copies needed|
|Uncontrolled Keywords:||crystalline flow, selfsimilar expanding solutions, a priori estimate
|Subjects:||35-xx PARTIAL DIFFERENTIAL EQUATIONS|