Self-similar expanding solutions in a sector for a crystalline flow

For a given sector a self-similar expanding solution to a crystalline flow is constructed. The solution is shown to be unique. Because of self-similarity 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...

Full description

Saved in:
Bibliographic Details
Published inSIAM journal on mathematical analysis Vol. 37; no. 4; pp. 1207 - 1226
Main Authors GIGA, Mi-Ho, GIGA, Yoshikazu, HONTANI, Hidekata
Format Journal Article
LanguageEnglish
Published Philadelphia, PA Society for Industrial and Applied Mathematics 2005
Subjects
Algebra
Algorithms
Applied mathematics
Applied sciences
Condensed matter: structure, mechanical and thermal properties
Contact angle
Equations of state, phase equilibria, and phase transitions
Exact sciences and technology
Image processing
Information, signal and communications theory
Linear and multilinear algebra, matrix theory
Mathematical analysis
Mathematics
Ordinary differential equations
Physics
Sciences and techniques of general use
Signal processing
Specific phase transitions
Telecommunications and information theory
Transitions in liquid crystals
Solution uniqueness
self-similar expanding solutions
94A08
15A99
34A12
Algebraic equation
A priori estimation
74N05
Crystalline flow
a priori estimate
Selfsimilarity
Equation system
Online AccessGet full text

Cover

More Information
Summary:For a given sector a self-similar expanding solution to a crystalline flow is constructed. The solution is shown to be unique. Because of self-similarity 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 self-similar expanding solution is useful to construct a crystalline flow from an arbitrary polygon not necessarily admissible.
ISSN:0036-1410
1095-7154
DOI:10.1137/040614372