On the uniqueness for weak solutions of steady double-phase fluids

We consider a double-phase non-Newtonian fluid, described by a stress tensor which is the sum of a p-Stokes and a q-Stokes stress tensor, with 1 < p<2 < q<∞. For a wide range of parameters (p, q), we prove the uniqueness of small solutions. We use the p < 2 features to obtain quadrati...

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Autores principales:	Abdelwahed Mohamed, Berselli Luigi C., Chorfi Nejmeddine
Formato:	article
Lenguaje:	EN
Publicado:	De Gruyter 2021
Materias:	uniqueness double-phase steady motion non-newtonian fluid 76a05 35j62 35q30 35j25 35j55 Analysis QA299.6-433
Acceso en línea:	https://doaj.org/article/e7c3e89a04e34c2685aa4bf98a1dffae
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spelling	oai:doaj.org-article:e7c3e89a04e34c2685aa4bf98a1dffae2021-12-05T14:10:40ZOn the uniqueness for weak solutions of steady double-phase fluids2191-94962191-950X10.1515/anona-2020-0196https://doaj.org/article/e7c3e89a04e34c2685aa4bf98a1dffae2021-09-01T00:00:00Zhttps://doi.org/10.1515/anona-2020-0196https://doaj.org/toc/2191-9496https://doaj.org/toc/2191-950XWe consider a double-phase non-Newtonian fluid, described by a stress tensor which is the sum of a p-Stokes and a q-Stokes stress tensor, with 1 < p<2 < q<∞. For a wide range of parameters (p, q), we prove the uniqueness of small solutions. We use the p < 2 features to obtain quadratic-type estimates for the stress-tensor, while we use the improved regularity coming from the term with q > 2 to justify calculations for weak solutions. Results are obtained through a careful use of the symmetries of the convective term and are also valid for rather general (even anisotropic) stress-tensors.Abdelwahed MohamedBerselli Luigi C.Chorfi NejmeddineDe Gruyterarticleuniquenessdouble-phasesteady motionnon-newtonian fluid76a0535j6235q3035j2535j55AnalysisQA299.6-433ENAdvances in Nonlinear Analysis, Vol 11, Iss 1, Pp 454-468 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	uniqueness double-phase steady motion non-newtonian fluid 76a05 35j62 35q30 35j25 35j55 Analysis QA299.6-433
spellingShingle	uniqueness double-phase steady motion non-newtonian fluid 76a05 35j62 35q30 35j25 35j55 Analysis QA299.6-433 Abdelwahed Mohamed Berselli Luigi C. Chorfi Nejmeddine On the uniqueness for weak solutions of steady double-phase fluids
description	We consider a double-phase non-Newtonian fluid, described by a stress tensor which is the sum of a p-Stokes and a q-Stokes stress tensor, with 1 < p<2 < q<∞. For a wide range of parameters (p, q), we prove the uniqueness of small solutions. We use the p < 2 features to obtain quadratic-type estimates for the stress-tensor, while we use the improved regularity coming from the term with q > 2 to justify calculations for weak solutions. Results are obtained through a careful use of the symmetries of the convective term and are also valid for rather general (even anisotropic) stress-tensors.
format	article
author	Abdelwahed Mohamed Berselli Luigi C. Chorfi Nejmeddine
author_facet	Abdelwahed Mohamed Berselli Luigi C. Chorfi Nejmeddine
author_sort	Abdelwahed Mohamed
title	On the uniqueness for weak solutions of steady double-phase fluids
title_short	On the uniqueness for weak solutions of steady double-phase fluids
title_full	On the uniqueness for weak solutions of steady double-phase fluids
title_fullStr	On the uniqueness for weak solutions of steady double-phase fluids
title_full_unstemmed	On the uniqueness for weak solutions of steady double-phase fluids
title_sort	on the uniqueness for weak solutions of steady double-phase fluids
publisher	De Gruyter
publishDate	2021
url	https://doaj.org/article/e7c3e89a04e34c2685aa4bf98a1dffae
work_keys_str_mv	AT abdelwahedmohamed ontheuniquenessforweaksolutionsofsteadydoublephasefluids AT berselliluigic ontheuniquenessforweaksolutionsofsteadydoublephasefluids AT chorfinejmeddine ontheuniquenessforweaksolutionsofsteadydoublephasefluids
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On the uniqueness for weak solutions of steady double-phase fluids

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