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

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 necessaril...

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Autores principales:	Konstantinas Pileckas, Alicija Raciene
Formato:	article
Lenguaje:	EN
Publicado:	Vilnius Gediminas Technical University 2021
Materias:	stationary navier-stokes problem power cusp domain singular solutions asymptotic expansion Mathematics QA1-939
Acceso en línea:	https://doaj.org/article/5fc87dbb0e5643fb94b796be3bff3e2a
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spelling	oai:doaj.org-article:5fc87dbb0e5643fb94b796be3bff3e2a2021-11-29T09:14:00ZOn singular solutions of the stationary Navier-Stokes system in power cusp domains1392-62921648-351010.3846/mma.2021.13836https://doaj.org/article/5fc87dbb0e5643fb94b796be3bff3e2a2021-11-01T00:00:00Zhttps://journals.vgtu.lt/index.php/MMA/article/view/13836https://doaj.org/toc/1392-6292https://doaj.org/toc/1648-3510The 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.Konstantinas PileckasAlicija RacieneVilnius Gediminas Technical Universityarticlestationary navier-stokes problempower cusp domainsingular solutionsasymptotic expansionMathematicsQA1-939ENMathematical Modelling and Analysis, Vol 26, Iss 4, Pp 651-668 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	stationary navier-stokes problem power cusp domain singular solutions asymptotic expansion Mathematics QA1-939
spellingShingle	stationary navier-stokes problem power cusp domain singular solutions asymptotic expansion Mathematics QA1-939 Konstantinas Pileckas Alicija Raciene On singular solutions of the stationary Navier-Stokes system in power cusp domains
description	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.
format	article
author	Konstantinas Pileckas Alicija Raciene
author_facet	Konstantinas Pileckas Alicija Raciene
author_sort	Konstantinas Pileckas
title	On singular solutions of the stationary Navier-Stokes system in power cusp domains
title_short	On singular solutions of the stationary Navier-Stokes system in power cusp domains
title_full	On singular solutions of the stationary Navier-Stokes system in power cusp domains
title_fullStr	On singular solutions of the stationary Navier-Stokes system in power cusp domains
title_full_unstemmed	On singular solutions of the stationary Navier-Stokes system in power cusp domains
title_sort	on singular solutions of the stationary navier-stokes system in power cusp domains
publisher	Vilnius Gediminas Technical University
publishDate	2021
url	https://doaj.org/article/5fc87dbb0e5643fb94b796be3bff3e2a
work_keys_str_mv	AT konstantinaspileckas onsingularsolutionsofthestationarynavierstokessysteminpowercuspdomains AT alicijaraciene onsingularsolutionsofthestationarynavierstokessysteminpowercuspdomains
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On singular solutions of the stationary Navier-Stokes system in power cusp domains

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