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Artículo
Remarks on the control of two-phase Stefan free-boundary problems
dc.creator | Araujo, Raul K.C. | es |
dc.creator | Fernández Cara, Enrique | es |
dc.creator | Límaco, Juan | es |
dc.creator | Araujo de Souza, Diego | es |
dc.date.accessioned | 2024-01-30T12:58:57Z | |
dc.date.available | 2024-01-30T12:58:57Z | |
dc.date.issued | 2022-10-11 | |
dc.identifier.citation | Araujo, R.K.C., Fernández Cara, E., Límaco, J. y Araujo de Souza, D. (2022). Remarks on the control of two-phase Stefan free-boundary problems. SIAM Journal on Control and Optimization (SICON), 60 (5), 3078-3099. https://doi.org/10.1137/21M1402261. | |
dc.identifier.issn | 0363-0129 | es |
dc.identifier.issn | 1095-7138 | es |
dc.identifier.uri | https://hdl.handle.net/11441/154247 | |
dc.description.abstract | This paper concerns the null controllability of the two-phase 1D Stefan problemwith distributed controls. This is a free-boundary problem that models solidification or meltingprocesses. In each phase, a parabolic equation, completed with initial and boundary conditions,must be satisfied; the phases are separated by a phase change interface, where an additional free-boundary condition is imposed (the so-called Stefan condition). We assume that two localized sourcesof heating/cooling controls act on the system (one in each phase). We prove the following local nullcontrollability result: the temperatures can be steered to zero and, simultaneously, the interface canbe steered to a prescribed location provided the initial data and the interface position are sufficientlyclose to the targets. The ingredients of the proofs are a compactness-uniqueness argument (whichgives appropriate observability estimates adapted to constraints) and a fixed-point formulation andresolution of the controllability problem (which gives the result for the nonlinear system). We alsoprove a negative result corresponding to the case where only one control acts on the system and theinterface does not collapse to the boundary. | es |
dc.format | application/pdf | es |
dc.format.extent | 21 p. | es |
dc.language.iso | eng | es |
dc.publisher | SIAM | es |
dc.relation.ispartof | SIAM Journal on Control and Optimization (SICON), 60 (5), 3078-3099. | |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internacional | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
dc.subject | ree-boundary problems | es |
dc.subject | two-phase Stefan problem | es |
dc.subject | null controllability | es |
dc.subject | Carleman inequalities | es |
dc.subject | constrained observability inequalities | es |
dc.title | Remarks on the control of two-phase Stefan free-boundary problems | 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 | https://doi.org/10.1137/21M1402261 | es |
dc.identifier.doi | 10.1137/21M1402261 | es |
dc.contributor.group | Universidad de Sevilla. FQM131: Ec.diferenciales,Simulacion Num.y Desarrollo Software | es |
dc.journaltitle | SIAM Journal on Control and Optimization (SICON) | es |
dc.publication.volumen | 60 | es |
dc.publication.issue | 5 | es |
dc.publication.initialPage | 3078 | es |
dc.publication.endPage | 3099 | es |