We consider solutions to a nonlinear reaction diffusion equation when the reaction term varies randomly with respect to the spatial coordinate. The nonlinearity is either the ign...
We consider the evolution by mean curvature in a highly heterogeneous medium, modeled by a periodic forcing term, with large L∞ -norm but with zero average. We prove existence o...
We develop a reconstruction algorithm to determine penetrable obstacles inside a domain in the plane from acoustic measurements made on the boundary. This algorithm uses complex g...
In this paper, we introduce a notion of barycenter in the Wasserstein space which generalizes McCann’s interpolation to the case of more than two measures. We provide existence,...
We prove global in time existence of solutions of the Euler compressible equations for a Van der Waals gas when the density is small enough in Hm , for m large enough. To do so, w...