4 papers
The stochastic Landau-Lifshitz-Baryakhtar equation in critical spaces
Federico Butori, Foivos Evangelopoulos-Ntemiris, Lorenzo Marino +1
We study the stochastic Landau--Lifshitz--Baryakhtar equation with multiplicative noise and homogeneous Neumann boundary conditions on smooth bounded domains in dimensions …
Anomalous diffusion properties of stochastic transport by heavy-tailed jump processes
Paolo Cifani, Franco Flandoli, Lorenzo Marino
In this work, we investigate the large-scale transport properties of a passive scalar advected by a turbulent fluid, modelled as a superposition of divergence-free vector fields, e…
Homogenization of stable-like operators with random, ergodic coefficients
Tomasz Klimsiak, Tomasz Komorowski, Lorenzo Marino
We show homogenization for a family of -valued stable-like processes , , whose (random) Fourier symbols equal $q_ε(x,ξ;θ)=\frac{1}{ε^…
Anomalous diffusion limit for a kinetic equation with a thermostatted interface
Krzysztof Bogdan, Tomasz Komorowski, Lorenzo Marino
We consider the limit of solutions of scaled linear kinetic equations with a reflection-transmission-absorption condition at the interface. Both the coefficient describing the prob…