scholarly journals Large time asymptotics for the parabolic Anderson model driven by space and time correlated noise

2017 ◽  
Vol 5 (4) ◽  
pp. 614-651 ◽  
Author(s):  
Jingyu Huang ◽  
Khoa Lê ◽  
David Nualart
Keyword(s):  
Anderson Model ◽  
Large Time ◽  
Correlated Noise ◽  
Parabolic Anderson Model ◽  
Large Time Asymptotics ◽  
Model Driven ◽  
Space And Time ◽  
Time Asymptotics

SIMULATIONS OF THE LIFSHITZ–SLYOZOV EQUATIONS: THE ROLE OF COAGULATION TERMS IN THE ASYMPTOTIC BEHAVIOR

2013 ◽  
Vol 23 (07) ◽  
pp. 1177-1215 ◽  
Author(s):  
THIERRY GOUDON ◽  
FRÉDÉRIC LAGOUTIÈRE ◽  
LÉON MATAR TINE
Keyword(s):  
Asymptotic Behavior ◽  
Large Time ◽  
Finite Volume Schemes ◽  
Large Time Asymptotics ◽  
Asymptotic Profile ◽  
Time Asymptotics ◽  
Supersaturated Solid Solutions ◽  
Kinetics Of ◽  
Selection Of

We consider the Lifshitz–Slyozov system that describes the kinetics of precipitation from supersaturated solid solutions. We design specific Finite Volume schemes and we investigate numerically the behavior of the solutions, in particular the large time asymptotics. Our purpose is two-fold: first, we introduce an adapted scheme based on downwinding techniques in order to reduce the numerical diffusion; second, we discuss the influence of coagulation effects on the selection of the asymptotic profile.

Sign in / Sign up

Export Citation Format

Share Document