25 citations · 60 across the 15 of their papers we have counts for
7 papers · 1 filter
The emergence of order in many element systems
Amit Einav
Our work is dedicated to the introduction and investigation of a new asymptotic correlation relation in the field of mean field models and limits. This new notion, order (as oppose…
Uniform moment propagation for the Becker-Döring equation
José A. Cañizo, Amit Einav, Bertrand Lods
We show uniform-in-time propagation of algebraic and stretched exponential moments for the Becker-Döring equations. Our proof is based upon a suitable use of the maximum principle…
Entropy production inequalities for the Kac Walk
Eric A. Carlen, Maria C. Carvalho, Amit Einav
Mark Kac introduced what is now called 'the Kac Walk' with the aim of investigating the spatially homogeneous Boltzmann equation by probabilistic means. Much recent work, discussed…
Trend to Equilibrium for the Becker-Döring Equations: An Analogue of Cercignani's Conjecture
José A. Cañizo, Amit Einav, Bertrand Lods
In this work we investigate the rate of convergence to equilibrium for subcritical solutions to the Becker-Döring equations with physically relevant coagulation and fragmentation c…
On the Cauchy problem for the homogeneous Boltzmann-Nordheim equation for bosons: local existence, uniqueness and creation of moments
Marc Briant, Amit Einav
The Boltzmann-Nordheim equation is a modification of the Boltzmann equation, based on physical considerations, that describes the dynamics of the distribution of particles in a qua…
A Counter Example to Cercignani's Conjecture for the Dimensional Kac Model
Amit Einav
Kac's dimensional model gives a linear, many particle, binary collision model from which, under suitable conditions, the celebrated Boltzmann equation, in its spatially homogen…