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The Dynamics of Nucleation in Sto chastic Cahn-Morral Systems
Sto chastic Cahn-Morral Systems Nucleation
2015/4/3
Spino dal Decomp osition
Deep quenches lead to spinodal decomposition and coarsening:
• Instantaneous phase separation throughout the system.
• A fine-grained and highly interconnected ...
Principal Lyapunov Exp onent and Principal Flo quet Bundle of Sto chas tic/Ra ndom Para b olic Equations
Principal Lyapunov Exp onen Principal Flo quet Bundle
2015/4/3
Problem – Extension of Principal Eigenvalue/Principal
Eigenfunction Theory for Time Independent Parabolic
Equations to Random Parabolic Equations
I Principal Eigenvalue/Principal Eigenfunction Theo...
If there is a global solution Ft(x , ω), SDE is complete, also called
non-explosive, conservative.
Ergo d ici ty of Sto chastic 2D Navie r- Stokes eq uations with L′evy Noise
L′evy Noise Sto chastic
2015/4/3
The Navier-Stoke s e quations are the fundame ntal m o de l of the
fluids . De spite t he ir gre at physic al im p ortance , exist ence and
uniquenes s res ults for the e quations in the three -dime...
Random Attractors for Sto chastic Reaction-Diffusion Equations on Unb ounded Domains
Sto chastic Reaction-Diffusion Equations Domains
2015/4/3
When Ω is unb ounded the time-t map is no longer
compact, but even i n this case, if g decays sufficiently fast
at infinity, asymptotic compactness of orbits and hence
the existence of a comp...