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SIAMMA
2010
86views more  SIAMMA 2010»
13 years 17 days ago
Spreading Speeds for Some Reaction-Diffusion Equations with General Initial Conditions
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...
François Hamel, Yannick Sire
SIAMMA
2010
52views more  SIAMMA 2010»
13 years 17 days ago
Exit Times of Diffusions with Incompressible Drift
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 ...
SIAMMA
2010
66views more  SIAMMA 2010»
13 years 17 days ago
On a Nonlocal Reaction-Diffusion Problem Arising from the Modeling of Phytoplankton Growth
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...
Yihong Du, Sze-Bi Hsu
SIAMMA
2010
105views more  SIAMMA 2010»
13 years 17 days ago
Free Cooling and High-Energy Tails of Granular Gases with Variable Restitution Coefficient
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...
Ricardo J. Alonso, Bertrand Lods
SIAMMA
2010
62views more  SIAMMA 2010»
13 years 17 days ago
The Interior Transmission Problem for Regions with Cavities
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. ...
Fioralba Cakoni, David Colton, Houssem Haddar