Plane structures in thermal runaway
| dc.contributor.author | Herrero, Miguel A. | |
| dc.contributor.author | Velázquez, J.J. L. | |
| dc.date.accessioned | 2023-06-20T17:05:16Z | |
| dc.date.available | 2023-06-20T17:05:16Z | |
| dc.date.issued | 1993-10 | |
| dc.description.abstract | We consider the problem (1) u(t) = u(xx) + e(u) when x is-an-element-of R, t > 0, (2) u (x, 0) = u0(x) when x is-an-element-of R, where u0(x) is continuous, nonnegative and bounded. Equation (1) appears as a limit case in the analysis of combustion of a one-dimensional solid fuel. It is known that solutions of (1), (2) blow-up in a finite time T, a phenomenon often referred to as thermal runaway. In this paper we prove the existence of blow-up profiles which are flatter than those previously observed. We also derive the asymptotic profile of u(x, T) near its blow-up points, which are shown to be isolated. | |
| dc.description.department | Depto. de Análisis Matemático y Matemática Aplicada | |
| dc.description.faculty | Fac. de Ciencias Matemáticas | |
| dc.description.refereed | TRUE | |
| dc.description.sponsorship | CICYT Grant | |
| dc.description.sponsorship | EEC Contract | |
| dc.description.status | pub | |
| dc.eprint.id | https://eprints.ucm.es/id/eprint/17326 | |
| dc.identifier.doi | 10.1007/BF02764836 | |
| dc.identifier.issn | 0021-2172 | |
| dc.identifier.officialurl | http://www.springerlink.com/content/g078m201p243232v/ | |
| dc.identifier.relatedurl | http://www.springerlink.com | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14352/57748 | |
| dc.issue.number | 3 | |
| dc.journal.title | Israel Journal of Mathematics | |
| dc.language.iso | eng | |
| dc.page.final | 341 | |
| dc.page.initial | 321 | |
| dc.publisher | Hebrew University Magnes Press | |
| dc.relation.projectID | PB90-0235 | |
| dc.relation.projectID | SC1-0019-C | |
| dc.rights.accessRights | restricted access | |
| dc.subject.cdu | 517.9 | |
| dc.subject.cdu | 536.2 | |
| dc.subject.keyword | Semilinear heat-equations | |
| dc.subject.keyword | point blow-up | |
| dc.subject.ucm | Ecuaciones diferenciales | |
| dc.subject.unesco | 1202.07 Ecuaciones en Diferencias | |
| dc.title | Plane structures in thermal runaway | |
| dc.type | journal article | |
| dc.volume.number | 81 | |
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| dspace.entity.type | Publication |
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