63 citations · 244 across the 55 of their papers we have counts for
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Self-organized criticality via stochastic partial differential equations
Viorel Barbu, Philippe Blanchard, Giuseppe Da Prato +1
Models of self-organized criticality, which can be described as singular diffusions with or without (multiplicative) Wiener forcing term (as e.g. the Bak/Tang/Wiesenfeld- and Zhang…
Finite time extinction for solutions to fast diffusion stochastic porous media equations
Viorel Barbu, Giuseppe Da Prato, Michael Röckner
We prove that the solutions to fast diffusion stochastic porous media equations have finite time extinction with strictly positive probability.
Strong solutions for stochastic porous media equations with jumps
Viorel Barbu, Carlo Marinelli
We prove global well-posedness in the strong sense for stochastic generalized porous media equations driven by square integrable martingales with stationary independent increments.
Stochastic Porous Media Equation and Self-Organized Criticality
Viorel Barbu, Giuseppe Da Prato, Michael Röckner
The existence and uniqueness of nonnegative strong solutions for stochastic porous media equations with noncoercive monotone diffusivity function and Wiener forcing term is proven.…