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math.PR2026
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 …
math.PR2024
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^…
math.PR2022
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…