Abstract
We shall study the qualitative propeties such as existence, uniqueness, regularity and dynamic properties for systems perturbed by Lévy process in finite and infinite dimension.
Universidade Estadual de Campinas (UNICAMP). Instituto de Matemática, Estatística e Computação Científica (IMECC) (Institutional affiliation from the last research proposal) Birthplace: Portugal
André de Oliveira Gomes in research grants and scholarships supported by FAPESP.
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We shall study the qualitative propeties such as existence, uniqueness, regularity and dynamic properties for systems perturbed by Lévy process in finite and infinite dimension.
The aim of this research plan is to investigate the simultaneous vanishing limit of noise intensity and kinematic viscosity for the stochastic Burgers equation. It is well known that adding a viscosity term or stochastic forcing to first order partial differential equations (PDEs for short) usually turns the resulting solution more regular (non unique solutions become unique or smoother).…
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Associated processes |