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20102023
most citedOn the Cauchy problem for the homogeneous Boltzmann-Nordheim equation for bosons: local existence, uniqueness and creation of moments

25 citations · 60 across the 15 of their papers we have counts for

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10 papers · 1 filter

math.AP2023

Sharp Decay of the Fisher Information for Degenerate Fokker-Planck Equations

Anton Arnold, Amit Einav, Tobias Wöhrer

The goal of this work is to find the sharp rate of convergence to equilibrium under the quadratic Fisher information functional for solutions to Fokker-Planck equations governed by…

math.AP2023

Convergence to equilibrium for a degenerate McKean-Vlasov Equation

Manh Hong Duong, Amit Einav

In this work we study the convergence to equilibrium for a (potentially) degenerate nonlinear and nonlocal McKean-Vlasov equation. We show that the solution to this equation is rel…

math.AP2023

The Entropic journey of Kac's Model

Amit Einav

The goal of this paper is to review the advances that were made during the last few decades in the study of the entropy, and in particular the entropy method, for Kac's many partic…

math.AP2022★ 1 cited

Generalised Fisher Information in Defective Fokker-Planck Equations

Anton Arnold, Amit Einav, Tobias Wöhrer

The goal of this work is to introduce and investigate a generalised Fisher Information in the setting of linear Fokker-Planck equations. This functional, which depends on two funct…

math.AP2021★ 1 cited

Quantitative dynamics of irreversible enzyme reaction-diffusion systems

Marcel Braukhoff, Amit Einav, Bao Quoc Tang

In this work we investigate the convergence to equilibrium for mass action reaction-diffusion systems which model irreversible enzyme reactions. Using the standard entropy method i…

math.AP2020★ 3 cited

Large time convergence of the non-homogeneous Goldstein-Taylor Equation

Anton Arnold, Amit Einav, Beatrice Signorello +1

The Goldstein-Taylor equations can be thought of as a simplified version of a BGK system, where the velocity variable is constricted to a discrete set of values. It is intimately r…