Marco Rehmeier

activity

20182026

most citedOn nonlinear Markov processes in the sense of McKean

1 citations · 1 across the 16 of their papers we have counts for

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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.AP2024

$2 D$ vorticity Euler equations: Superposition solutions and nonlinear Markov processes

Marco Rehmeier, Marco Romito

In this note we contribute two results to the theory of the $2 D$ Euler equations in vorticity form on the full plane. First, we establish a generalized Lagrangian representation of…

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…

math.AP2023

Nonlinear Fokker--Planck--Kolmogorov equations as gradient flows on the space of probability measures

Marco Rehmeier, Michael Röckner

We propose a general method to identify nonlinear Fokker--Planck--Kolmogorov equations (FPK equations) as gradient flows on the space of probability measures on $R^{d}$ with…

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

2D vorticity Euler equations: Superposition solutions and nonlinear Markov processes

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

Nonlinear Fokker--Planck--Kolmogorov equations as gradient flows on the space of probability measures

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

$2 D$ vorticity Euler equations: Superposition solutions and nonlinear Markov processes

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