Some inverse problems for the Burgers equation and related systems

Apraiz, J.; Doubova Krasotchenko, Anna; Fernández Cara, Enrique; Yamamoto, M.

doi:10.1016/j.cnsns.2021.106113

Artículo

dc.creator	Apraiz, J.	es
dc.creator	Doubova Krasotchenko, Anna	es
dc.creator	Fernández Cara, Enrique	es
dc.creator	Yamamoto, M.	es
dc.date.accessioned	2022-07-01T07:38:25Z
dc.date.available	2022-07-01T07:38:25Z
dc.date.issued	2021-11-23
dc.identifier.citation	Apraiz, J., Doubova Krasotchenko, A., Fernández Cara, E. y Yamamoto, M. (2021). Some inverse problems for the Burgers equation and related systems. Communications in Nonlinear Science and Numerical Simulation, 107 (Abril), 106113-1-106113-23.
dc.identifier.issn	1007-5704	es
dc.identifier.issn	1878-7274	es
dc.identifier.uri	https://hdl.handle.net/11441/134888
dc.description.abstract	In this article we deal with one-dimensional inverse problems concerning the Burgers equation and some related nonlinear systems (involving heat effects and/or variable density). In these problems, the goal is to find the size of the spatial interval from some appropriate boundary observations of the solution. Depending on the properties of the initial and boundary data, we prove uniqueness and non-uniqueness results. In addition, we also solve some of these inverse problems numerically and compute approximations of the interval sizes.	es
dc.format	application/pdf	es
dc.format.extent	23 p.	es
dc.language.iso	eng	es
dc.publisher	Elsevier	es
dc.relation.ispartof	Communications in Nonlinear Science and Numerical Simulation, 107 (Abril), 106113-1-106113-23.
dc.rights	Attribution-NonCommercial-NoDerivatives 4.0 Internacional	*
dc.rights.uri	http://creativecommons.org/licenses/by-nc-nd/4.0/	*
dc.subject	Inverse problems	es
dc.subject	Uniqueness	es
dc.subject	Burgers equation	es
dc.subject	Nonlinear systems	es
dc.subject	Numerical reconstruction	es
dc.title	Some inverse problems for the Burgers equation and related systems	es
dc.type	info:eu-repo/semantics/article	es
dc.type.version	info:eu-repo/semantics/publishedVersion	es
dc.rights.accessRights	info:eu-repo/semantics/openAccess	es
dc.contributor.affiliation	Universidad de Sevilla. Departamento de Ecuaciones Diferenciales y Análisis Numérico	es
dc.relation.publisherversion	doi.org/10.1016/j.cnsns.2021.106113	es
dc.identifier.doi	10.1016/j.cnsns.2021.106113	es
dc.contributor.group	Universidad de Sevilla. FQM131: Ec.diferenciales,Simulacion Num.y Desarrollo Software	es
dc.journaltitle	Communications in Nonlinear Science and Numerical Simulation	es
dc.publication.volumen	107	es
dc.publication.issue	Abril	es
dc.publication.initialPage	106113-1	es
dc.publication.endPage	106113-23	es

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