V. Barbu

activity

20052026

most citedStochastic Porous Media Equation and Self-Organized Criticality

63 citations · 244 across the 55 of their papers we have counts for

collaborators

64 papers

math.PR2026

Uniqueness for nonlinear Fokker-Planck equations with general diffusion terms and their associated nonlinear Markov processes

Viorel Barbu, Yuqi Li, Michael Röckner

This work is concerned with the uniqueness of distributional solutions to nonlinear Fokker-Planck equations with non-diagonal diffusion terms of type \begin{equation} u_{t}-\sum_{i…

math.AP2026

Wasserstein regularity of vorticity solutions to the 2D Navier-Stokes equations

Viorel Barbu

One proves that the the vorticity flow of 2D Navier Stokes equation can be identified with an absolutely continuous curve in Wasserstein space W_{p} where p\in [1,2}.

math.AP2026

Probabilistic representation of solutions to the parabolic $p$ -Laplace equation

Viorel Barbu, Michael Röckner

This work is concerned with the probabilistic representation of solutions to the $p$ -Laplace evolution equation $\frac{\partial u}{\partial t} = div (∣\nabla u ∣^{p - 2} \nabla u)$ …

math.PR2025

The Leibenson process

Viorel Barbu, Sebastian Grube, Marco Rehmeier +1

Consider the Leibenson equation \begin{equation*} \partial_t u = Δ_p u^q, \end{equation*} where $Δ_{p} f = d i v (∣\nabla f ∣^{p - 2} \nabla f)$ for $p > 1$ and $q > 0$ , which is a simultaneous…

math.PR2025

Nonlinear Fokker-Planck equations as smooth Hilbertian gradient flows

Viorel Barbu, Michael Röckner

Under suitable assumptions on $β : R \to R, D : R^{d} \to R^{d}$ and $b : R^{d} \to R$ , the nonlinear Fokker-Planck equation $u_t-…

math.OC2024

Mean field systems:the optimal control approach based