TWO-DIMENSIONAL INCOMPRESSIBLE IDEAL FLOWS IN A NONCYLINDRICAL MATERIAL DOMAIN

Autor:	Flavia Zechineli Fernandes, M. C. Lopes Filho
Rok vydání:	2007
Předmět:	Incompressible flow Applied Mathematics Modeling and Simulation Weak solution Bounded function Mathematical analysis Simply connected space Tangent Boundary (topology) Vorticity Domain (mathematical analysis) Mathematics
Zdroj:	Mathematical Models and Methods in Applied Sciences. 17:2035-2053
ISSN:	1793-6314 0218-2025
DOI:	10.1142/s0218202507002558
Popis:	The purpose of this work is to prove the existence of a weak solution of the two-dimensional incompressible Euler equations on a noncylindrical domain consisting of a smooth, bounded, connected and simply connected domain undergoing a prescribed motion. We prove the existence of a weak solution for initial vorticity in Lp, for p > 1. This work complements a similar result by C. He and L. Hsiao, who proved existence assuming that the flow velocity is tangent to the moving boundary, see Ref. 6.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::e786924929d9cbd3106a1d2a539ec25b https://doi.org/10.1142/s0218202507002558 Zobrazit plný text záznamu