On singular solutions of the stationary Navier-Stokes system in power cusp domains

Autor:	Konstantinas Pileckas, Alicija Raciene
Jazyk:	angličtina
Rok vydání:	2021
Předmět:	stationary navier-stokes problem power cusp domain singular solutions asymptotic expansion Mathematics QA1-939
Zdroj:	Mathematical Modelling and Analysis, Vol 26, Iss 4, Pp 651-668 (2021)
Druh dokumentu:	article
ISSN:	1392-6292 1648-3510
DOI:	10.3846/mma.2021.13836
Popis:	The boundary value problem for the steady Navier–Stokes system is considered in a 2D bounded domain with the boundary having a power cusp singularity at the point O. The case of a boundary value with a nonzero flow rate is studied. In this case there is a source/sink in O and the solution necessarily has an infinite Dirichlet integral. The formal asymptotic expansion of the solution near the singular point is constructed and the existence of a solution having this asymptotic decomposition is proved.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/5fc87dbb0e5643fb94b796be3bff3e2a Zobrazit plný text záznamu View record in DOAJ Plný text ve formátu PDF