2 citations · 4 across the 5 of their papers we have counts for
7 papers
Particle approximation of the doubly parabolic Keller-Segel equation in the plane
Nicolas Fournier, Milica Tomasevic
In this work, we study a stochastic system of N particles associated with the parabolic-parabolic Keller-Segel system. This particle system is singular and non Markovian in that it…
Blow-up for a Stochastic Model of Chemotaxis Driven by Conservative Noise on
Avi Mayorcas, Milica Tomasevic
We establish criteria on the chemotactic sensitivity for the non-existence of global weak solutions (i.e. \textit{blow-up} in finite time) to a stochastic Keller--Segel model w…
Quantitative particle approximation of nonlinear Fokker-Planck equations with singular kernel
Christian Olivera, Alexandre Richard, Milica Tomasevic
In this work, we study the convergence of the empirical measure of moderately interacting particle systems with singular interaction kernels. First, we prove quantitative convergen…
Quantitative approximation of the Burgers and Keller-Segel equations by moderately interacting particles
Christian Olivera, Alexandre Richard, Milica Tomasevic
In this work we obtain rates of convergence for two moderately interacting stochastic particle systems with singular kernels associated to the viscous Burgers and Keller-Segel equa…
A new McKean-Vlasov stochastic interpretation of the parabolic-parabolic Keller-Segel model: The two-dimensional case
Milica Tomasevic
In Talay and Tomasevic [20] we proposed a new stochastic interpretation of the parabolic-parabolic Keller-Segel system without cutoff. It involved an original type of McKean-Vlasov…
A new McKean-Vlasov stochastic interpretation of the parabolic-parabolic Keller-Segel model: The one-dimensional case
Denis Talay, Milica Tomasevic
In this paper we analyze a stochastic interpretation of the one-dimensional parabolic-parabolic Keller-Segel system without cut-off. It involves an original type of McKean-Vlasov i…
Mean--field limit of a particle approximation of the one-dimensional parabolic--parabolic Keller-Segel model without smoothing
Jean-Francois Jabir, Denis Talay, Milica Tomasevic
In this work, we prove the well--posedness of a singularly interacting stochastic particle system and we establish propagation of chaos result towards the one-dimensional parabolic…