Well-posedness of evolutionary Navier-Stokes equations with forces of low regularity on two-dimensional domains

Casas Rentería, Eduardo; Kunisch, Karl

doi:10.1051/cocv/2021058

dc.contributor.author	Casas Rentería, Eduardo
dc.contributor.author	Kunisch, Karl
dc.contributor.other	Universidad de Cantabria	es_ES
dc.date.accessioned	2021-07-01T08:15:10Z
dc.date.available	2021-07-01T08:15:10Z
dc.date.issued	2021-06-18
dc.identifier.issn	1292-8119
dc.identifier.issn	1262-3377
dc.identifier.other	MTM2017-83185-P	es_ES
dc.identifier.uri	http://hdl.handle.net/10902/21928
dc.description.abstract	Existence and uniqueness of solutions to the Navier-Stokes equations in dimension two with forces in the space Lq((0, T ); W−1,p(Ω)) for p and q in appropriate parameter ranges are proven. The case of spatially measured-valued forces is included. For the associated Stokes equation the well- posedness results are verified in arbitrary dimensions for any 1 < p, q < ∞.	es_ES
dc.description.sponsorship	The fisrst author was partially supported by Spanish Ministerio de Economía y Competitividad under research project MTM2017-83185-P.	es_ES
dc.format.extent	25 p.	es_ES
dc.language.iso	eng	es_ES
dc.publisher	EDP Sciences	es_ES
dc.rights	Attribution 4.0 International	es_ES
dc.rights.uri	http://creativecommons.org/licenses/by/4.0/	*
dc.source	ESAIM - Control, Optimisation and Calculus of Variations, 2021, 27, 61 - (CORRIGENDUM), 2022, 28, 28	es_ES
dc.subject.other	Evolution Navier-Stokes equations	es_ES
dc.subject.other	Weak solutions	es_ES
dc.subject.other	Uniqueness clasess	es_ES
dc.subject.other	Sensitivity analysis	es_ES
dc.subject.other	Asymptotic stability	es_ES
dc.title	Well-posedness of evolutionary Navier-Stokes equations with forces of low regularity on two-dimensional domains	es_ES
dc.type	info:eu-repo/semantics/article	es_ES
dc.relation.publisherVersion	https://doi.org/10.1051/cocv/2021058	es_ES
dc.rights.accessRights	openAccess	es_ES
dc.identifier.DOI	10.1051/cocv/2021058
dc.type.version	publishedVersion	es_ES