63 citations · 244 across the 55 of their papers we have counts for
17 papers · 1 filter
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}.
Probabilistic representation of solutions to the parabolic -Laplace equation
Viorel Barbu, Michael Röckner
This work is concerned with the probabilistic representation of solutions to the -Laplace evolution equation …
Nonlinear Fokker-Planck equations with singular integral drifts and McKean-Vlasov SDEs
Viorel Barbu
One proves the well-posedness in the Sobolev space H^{-1} of nonlinear Fokker-Planck equations with singular drifts.Applications to existence of strong solutions to McKean-Vlasov e…
Nonlocal, nonlinear Fokker-Planck equations and nonlinear martingale problems
Viorel Barbu, José Luís da Silva, Michael Röckner
This work is concerned with the existence of mild solutions and the uniqueness of distributional solutions to nonlinear Fokker-Planck equations with nonlocal operators , whe…
Uniqueness for nonlinear Fokker-Planck equations and for McKean-Vlasov SDEs: The degenerate case
Viorel Barbu, Michael Röckner
This work is concerned with the existence and uniqueness of generalized (mild or distributional) solutions to (possibly degenerate) Fokker-Planck equations $ρ_t-Δβ(ρ)+{\rm div}(Db(…
Nonlinear Fokker-Planck equations with time-dependent coefficients
Viorel Barbu, Michael Rockner
An operatorial based approach is used here to prove the existence and uniqueness of a strong solution to the time-varying nonlinear Fokker--Planck equation $u_t(t,x)-Δ(a(t,x,u(…