Solutions of Rough Differential Equations (RDE) may be defined as paths whose increments are close to an approximation of the associated flow. They are constructed through a discrete scheme using a non-linear sewing lemma. ...

In this proposal we present an alternative point of view for the mathematical treatment of a linearly damped p-system through a variant of the vanishing viscosity method and the use of the theory of compensated compactness. ...

In this work we use the stochastic flow decomposition technique to get components that represent the dynamics of the slow and fast motion of a stochastic differential equation with a random perturbation. Assuming a Lipschitz ...

Abstract In this paper we study the uniqueness of graphical mean curvature flow with locally Lipschitz initial data. We first prove that rotationally symmetric entire graphs are unique, without any further assumptions. Our ...

In this thesis we present some generic properties and its consequences to the dynamics of the Aubry set that appear in the Mathers theory about Tonelli Lagrangians and Hamiltonian systems. We also study conditions for ...

This thesis deals with the mathematical and numerical analysis of two models that describe the behavior of multiple species from partial differential equations. In particular, a system of conservation laws with a ...