This work deals with trace theorems for a class of ramified bidimensional domains with a self-similar fractal boundary . The fractal boundary is supplied with a probability measur...
We consider the interior transmission problem in the case when the inhomogeneous medium has cavities, i.e. regions in which the index of refraction is the same as the host medium. ...
In this paper, we establish the convergence of the Ohta-Kawasaki equation to motion by nonlocal Mullins-Sekerka law on any smooth domain in space dimensions N 3. These equations a...
The nonlinear stability of travelling Lax shocks in semidiscrete conservation laws involving general spatial forward-backward discretization schemes is considered. It is shown tha...
Abstract. In this paper, we derive asymptotic models for the propagation of two and threedimensional gravity waves at the free surface and the interface between two layers of immis...
The aim of this paper is to investigate the mathematical properties of a continuum model for diffusion of multiple species incorporating size exclusion effects. The system for two ...
Martin Burger, Marco Di Francesco, Jan-Frederik Pi...