Crystalline flow starting from a general polygon

Autor:	Mi-Ho Giga, Yoshikazu Giga, Ryo Kuroda, Yusuke Ochiai
Rok vydání:	2022
Předmět:	Flow (mathematics) Applied Mathematics Ordinary differential equation Mathematical analysis Polygon Discrete Mathematics and Combinatorics Initial value problem Sense (electronics) Analysis Mathematics
Zdroj:	Discrete & Continuous Dynamical Systems. 42:2027
ISSN:	1553-5231 1078-0947
Popis:	This paper solves a singular initial value problem for a system of ordinary differential equations describing a polygonal flow called a crystalline flow. Such a problem corresponds to a crystalline flow starting from a general polygon not necessarily admissible in the sense that the corresponding initial value problem is singular. To solve the problem, a self-similar expanding solution constructed by the first two authors with H. Hontani (2006) is effectively used.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::0bc42bb47c142c29be8d1fa6c009d7e3 https://doi.org/10.3934/dcds.2021182 Zobrazit plný text záznamu