Stochastic Navier–Stokes Equations on a Thin Spherical Domain

Incompressible Navier–Stokes equations on a thin spherical domain [Formula: see text] along with free boundary conditions under a random forcing are considered. The convergence of the martingale solution of these equations to the martingale solution of the stochastic Navier–Stokes equations on a sph...

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Autores principales: Brzeźniak, Zdzisław, Dhariwal, Gaurav, Le Gia, Quoc Thong
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer US 2020
Materias:
Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8550046/
https://www.ncbi.nlm.nih.gov/pubmed/34720249
http://dx.doi.org/10.1007/s00245-020-09702-2
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author Brzeźniak, Zdzisław
Dhariwal, Gaurav
Le Gia, Quoc Thong
author_facet Brzeźniak, Zdzisław
Dhariwal, Gaurav
Le Gia, Quoc Thong
author_sort Brzeźniak, Zdzisław
collection PubMed
description Incompressible Navier–Stokes equations on a thin spherical domain [Formula: see text] along with free boundary conditions under a random forcing are considered. The convergence of the martingale solution of these equations to the martingale solution of the stochastic Navier–Stokes equations on a sphere [Formula: see text] as the thickness converges to zero is established.
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spelling pubmed-85500462021-10-29 Stochastic Navier–Stokes Equations on a Thin Spherical Domain Brzeźniak, Zdzisław Dhariwal, Gaurav Le Gia, Quoc Thong Appl Math Optim Article Incompressible Navier–Stokes equations on a thin spherical domain [Formula: see text] along with free boundary conditions under a random forcing are considered. The convergence of the martingale solution of these equations to the martingale solution of the stochastic Navier–Stokes equations on a sphere [Formula: see text] as the thickness converges to zero is established. Springer US 2020-07-11 2021 /pmc/articles/PMC8550046/ /pubmed/34720249 http://dx.doi.org/10.1007/s00245-020-09702-2 Text en © The Author(s) 2020 https://creativecommons.org/licenses/by/4.0/Open AccessThis article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/ (https://creativecommons.org/licenses/by/4.0/) .
spellingShingle Article
Brzeźniak, Zdzisław
Dhariwal, Gaurav
Le Gia, Quoc Thong
Stochastic Navier–Stokes Equations on a Thin Spherical Domain
title Stochastic Navier–Stokes Equations on a Thin Spherical Domain
title_full Stochastic Navier–Stokes Equations on a Thin Spherical Domain
title_fullStr Stochastic Navier–Stokes Equations on a Thin Spherical Domain
title_full_unstemmed Stochastic Navier–Stokes Equations on a Thin Spherical Domain
title_short Stochastic Navier–Stokes Equations on a Thin Spherical Domain
title_sort stochastic navier–stokes equations on a thin spherical domain
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8550046/
https://www.ncbi.nlm.nih.gov/pubmed/34720249
http://dx.doi.org/10.1007/s00245-020-09702-2
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