Marco Rehmeier

collaborators

3 papers

math.AP2024

Non-uniqueness of Leray--Hopf solutions for the $3 D$ fractional Navier--Stokes equations perturbed by transport noise

Theresa Lange, Marco Rehmeier, Andre Schenke

For the $3 D$ fractional Navier--Stokes equations perturbed by transport noise, we prove the existence of infinitely many Hölder continuous analytically weak, probabilistically stro…

math.PR2024

Average dissipation for stochastic transport equations with Lévy noise

Franco Flandoli, Andrea Papini, Marco Rehmeier

We show that, in one spatial and arbitrary jump dimension, the averaged solution of a Marcustype SPDE with pure jump Lévy transport noise satisfies a dissipative deterministic equa…

math.AP2023

Weighted $L^{1}$ -semigroup approach for nonlinear Fokker--Planck equations and generalized Ornstein--Uhlenbeck processes

Marco Rehmeier

For the nonlinear Fokker--Planck equation $\partial_{t} u = Δ β (u) - \nablaΦ \cdot \nabla β (u) - d i v_{ϱ} (D (x) b (u) u), (t, x) \in (0, \infty) \times R^{d},$ where…

Non-uniqueness of Leray--Hopf solutions for the 3D fractional Navier--Stokes equations perturbed by transport noise

Average dissipation for stochastic transport equations with Lévy noise

Weighted L1-semigroup approach for nonlinear Fokker--Planck equations and generalized Ornstein--Uhlenbeck processes

Non-uniqueness of Leray--Hopf solutions for the $3 D$ fractional Navier--Stokes equations perturbed by transport noise

Weighted $L^{1}$ -semigroup approach for nonlinear Fokker--Planck equations and generalized Ornstein--Uhlenbeck processes