Exponential estimates for "not very large deviations" and wave front propagation for class of reaction-diffusion equations
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1997Tipo
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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 ...
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. ...
Contido em
Cadernos de matemática e estatística. Série A, Trabalho de pesquisa. Porto Alegre. N. 48 (mar. 1997), 35 f.
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Nacional
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Artigos de Periódicos (39351)Ciências Exatas e da Terra (5974)
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