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Exponential estimates for "not very large deviations" and wave front propagation for class of reaction-diffusion equations
dc.contributor.author | Carmona, Sara Ianda Correa | pt_BR |
dc.contributor.author | Tanaka, Nelson Ithiro | pt_BR |
dc.date.accessioned | 2018-03-28T02:33:18Z | pt_BR |
dc.date.issued | 1997 | pt_BR |
dc.identifier.uri | http://hdl.handle.net/10183/174004 | pt_BR |
dc.description.abstract | A Large Deviation Principle for a class of ranclom processes depending on a small parameter ε > O is established. This class of processes arises from a random perturbation of a dynamical system. Then, exponential estimates for events of the type "not very large deviations" (deviations of εκ, O < κ < 1/2) are obtained. Finally, the wave front propagation, as ε ! O, of the solution of some initial-boundary value problems is analyzed; these problems are formulated in terms of a reaction-di[fusion equation whose diffusion coefficient is of order 1/ε. and the non linear term is of order 1/ε1-2κ. The wave front is characterized in terms of the action functional corresponding to the Large Deviation Principle initially obtained. | en |
dc.format.mimetype | application/pdf | pt_BR |
dc.language.iso | eng | pt_BR |
dc.relation.ispartof | Cadernos de matemática e estatística. Série A, Trabalho de pesquisa. Porto Alegre. N. 48 (mar. 1997), 35 f. | pt_BR |
dc.rights | Open Access | en |
dc.subject | Large deviation | en |
dc.subject | Processos aleatorios : Grandes desvios : Trajetorias continuas e descontinuas | pt_BR |
dc.subject | Perturbacao : Processos aleatorios | pt_BR |
dc.subject | Action functional | en |
dc.subject | Not very large deviations | en |
dc.subject | Propagação de ondas | pt_BR |
dc.subject | Wave front propagation | en |
dc.title | Exponential estimates for "not very large deviations" and wave front propagation for class of reaction-diffusion equations | pt_BR |
dc.type | Artigo de periódico | pt_BR |
dc.identifier.nrb | 000156242 | pt_BR |
dc.type.origin | Nacional | pt_BR |
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