4 papers
Rough paths and regularization
André Gomes, Alberto Ohashi, Francesco Russo +1
Calculus via regularizations and rough paths are two methods to approach stochastic integration and calculus close to pathwise calculus. The origin of rough paths theory is purely…
Global control aspects for long waves in nonlinear dispersive media
Roberto de A. Capistrano-Filho, Andressa Gomes
A class of models of long waves in dispersive media with coupled quadratic nonlinearities on a periodic domain are studied. We used two distributed controls, supported…
Solitary wave solutions and global well-posedness for a coupled system of gKdV equations
Andressa Gomes, Ademir Pastor
In this work we consider the initial-value problem associated with a coupled system of generalized Korteweg-de Vries equations. We present a relationship between the best constant…
The Kramers problem for SDEs driven by small, accelerated Lévy noise with exponentially light jumps
André de Oliveira Gomes, Michael A. Högele
We establish Freidlin-Wentzell results for a nonlinear ordinary differential equation starting close to the stable state , say, subject to a perturbation by a stochastic integra…