The reduced basis method was introduced for the accurate online evaluation of solutions to a parameter dependent family of elliptic partial differential equations. ly, it can be ...
Peter Binev, Albert Cohen, Wolfgang Dahmen, Ronald...
It has been unknown since the time of Euler whether or not time-periodic sound wave propagation is physically possible in the compressible Euler equations, due mainly to the ubiqui...
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...
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...