Mostrar el registro sencillo del ítem
Artículo
Solutions of The 3D Navier-Stokes Equations for Initial Data In H¿1/2: Robustness of Regularity and Numerical Verification of Regularity for Bounded Sets of Initial Data In H¿1
dc.creator | Marín Rubio, Pedro | |
dc.creator | Robinson, James C. | |
dc.creator | Sadowski, Witold | |
dc.date.accessioned | 2015-06-23T13:55:10Z | |
dc.date.available | 2015-06-23T13:55:10Z | |
dc.date.issued | 2013 | |
dc.identifier.issn | 0022-247X | |
dc.identifier.uri | http://hdl.handle.net/11441/25953 | |
dc.description.abstract | We consider the three-dimensional Navier–Stokes equations on a periodic domain. We give a simple proof of the local existence of solutions in View the MathML source, and show that the existence of a regular solution on a bounded time interval [0,T] is stable with respect to perturbations of the initial data in View the MathML source and perturbations of the forcing function in L2(0,T;H−1/2). This forms the key ingredient in a proof that the assumption of regularity for all initial conditions in any given ball in View the MathML source can be verified computationally in a finite time, strengthening a previous result of Robinson and Sadowski [J.C. Robinson and W. Sadowski, Numerical verification of regularity in the three-dimensional Navier-Stokes equations for bounded sets of initial data, Asymptot. Anal. 59 (2008) 39–50]. | |
dc.format | application/pdf | |
dc.language.iso | eng | |
dc.publisher | Elsevier | |
dc.relation.ispartof | Journal of Mathematical Analysis and Applications, 400(1), 76-85 | |
dc.rights | Atribución-NoComercial-SinDerivadas 4.0 España | |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0 | |
dc.subject | Navier–Stokes equations | |
dc.subject | Critical spaces | |
dc.subject | Regularity | |
dc.title | Solutions of The 3D Navier-Stokes Equations for Initial Data In H¿1/2: Robustness of Regularity and Numerical Verification of Regularity for Bounded Sets of Initial Data In H¿1 | |
dc.type | info:eu-repo/semantics/article | |
dcterms.identifier | https://ror.org/03yxnpp24 | |
dc.type.version | info:eu-repo/semantics/submittedVersion | |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | |
dc.contributor.affiliation | Universidad de Sevilla. Departamento de Ecuaciones Diferenciales y Análisis Numérico | |
dc.relation.publisherversion | http://dx.doi.org/10.1016/j.jmaa.2012.10.064 | |
dc.identifier.doi | 10.1016/j.jmaa.2012.10.064 | es |
dc.identifier.idus | https://idus.us.es/xmlui/handle/11441/25953 |
Ficheros | Tamaño | Formato | Ver | Descripción |
---|---|---|---|---|
file_1.pdf | 282.0Kb | [PDF] | Ver/ | |