This paper is devoted to the study of some qualitative and quantitative aspects of nonlinear propagation phenomena in diffusive media. More precisely, we consider the case a react...
Let Rn be a bounded domain and for x let (x) be the expected exit time from of a diffusing particle starting at x and advected by an incompressible flow u. We are interested i...
Gautam Iyer, Alexei Novikov, Lenya Ryzhik, Andrej ...
In this paper we analyze a nonlocal reaction-diffusion model which arises from the modeling of competition of phytoplankton species with incomplete mixing in a water column. The no...
ABSTRACT. We prove the so-called generalized Haff's law yielding the optimal algebraic cooling rate of the temperature of a granular gas described by the homogeneous Boltzmann...
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. ...