19 citations · 23 across the 12 of their papers we have counts for
6 papers · 1 filter
A particle system approach to cell-cell adhesion models
Mikhail Neklyudov, Dario Trevisan
We investigate micro-to-macroscopic derivations in two models of living cells, in presence to cell-cell adhesive interactions. We rigorously address two PDE-based models, one featu…
Rescaling nonlinear noise for 1D stochastic parabolic equations
B. Goldys, M. Neklyudov
In this paper we will show that the solution of 1D stochastic parabolic equation with additive noise converges to a martingale (independent upon space variable) when we rescale noi…
Ergodicity for a stochastic geodesic equation in the tangent bundle of the 2D sphere
L'ubomír Banas, Zdzisław Brzeźniak, Misha Neklyudov +2
We study ergodic properties of stochastic geometric wave equations on a particular model with the target being the 2D sphere while considering the space variable-independent soluti…
Noise prevents infinite stretching of the passive field in a stochastic vector advection equation
Franco Flandoli, Mario Maurelli, Mikhail Neklyudov
A linear stochastic vector advection equation is considered; the equation may model a passive magnetic field in a random fluid. When the driving velocity field is rough but determi…
Attractivity, invariance and ergodicity for SDEs on Riemannian manifolds
Lubomir Banas, Zdzislaw Brzezniak, Martin Ondrejat +1
We give a sufficient condition on nonlinearities of an SDE on a compact connected Riemannian manifold which implies that laws of all solutions converge weakly to the normalized…
Relationship between stochastic flows and connection forms
M. Neklyudov
In this article I will prove new representation for the Levi-Civita connection in terms of the stochastic flow corresponding to Brownian motion on manifold.