Outputs (4)

Uniform moment propagation for the Becker--Döring equations (2018)
Journal Article
Cãnizo, J. A., Einav, A., & Lods, B. (2018). Uniform moment propagation for the Becker--Döring equations. Proceedings of the Royal Society of Edinburgh Section A: Mathematics, 149(4), 995-1015. https://doi.org/10.1017/prm.2018.99

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 together with known rates of convergence to equilibrium.

Interpolation of weighted Sobolev spaces (2018)
Journal Article
Cwikel, M., & Einav, A. (2019). Interpolation of weighted Sobolev spaces. Journal of Functional Analysis, 277(7), 2381-2441. https://doi.org/10.1016/j.jfa.2018.11.008

In this work we present a newly developed study of the interpolation of weighted Sobolev spaces by the complex method. We show that in some cases, one can obtain an analogue of the famous Stein–Weiss theorem for weighted Lp spaces. We consider an exa... Read More about Interpolation of weighted Sobolev spaces.

Entropy production inequalities for the Kac Walk (2018)
Journal Article
A. Carlen, E., C. Carvalho, M., & Einav, A. (2018). Entropy production inequalities for the Kac Walk. Kinetic and Related Models, 11(2), 219-238. https://doi.org/10.3934/krm.2018012

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 below, on Kac's program has run in the other direction: using recent... Read More about Entropy production inequalities for the Kac Walk.

On the rates of decay to equilibrium in degenerate and defective Fokker–Planck equations (2018)
Journal Article
Arnold, A., Einav, A., & Wöhrer, T. (2018). On the rates of decay to equilibrium in degenerate and defective Fokker–Planck equations. Journal of Differential Equations, 264(11), 6843-6872. https://doi.org/10.1016/j.jde.2018.01.052

We establish sharp long time asymptotic behaviour for a family of entropies to defective Fokker–Planck equations and show that, much like defective finite dimensional ODEs, their decay rate is an exponential multiplied by a polynomial in time. The no... Read More about On the rates of decay to equilibrium in degenerate and defective Fokker–Planck equations.