PreprintCC BY 4.0arXiv
The stochastic Landau-Lifshitz-Baryakhtar equation in critical spaces
Abstract
We study the stochastic Landau--Lifshitz--Baryakhtar equation with multiplicative noise and homogeneous Neumann boundary conditions on smooth bounded domains in dimensions d≤ 3. Relying on stochastic maximal regularity results, we establish global well-posedness in a variational strong, intermediate, and weak setting, as well as for initial data in the scaling-critical Besov spaces Bd/q−1q,p for every q∈[2,∞) and p∈(2,∞).
Related
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- Uniform Large Deviations, Barrier Identity and the Néel--Arrhenius Law for the One-Dimensional Stochastic Landau--Lifshitz--Gilbert Equation
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BibTeX
@misc{butori2026stochastic,
title = {{The stochastic Landau-Lifshitz-Baryakhtar equation in critical spaces}},
author = {Federico Butori and Foivos Evangelopoulos-Ntemiris and Lorenzo Marino and Max Orteu-Capdevila},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.24789},
eprint = {2609.24789},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.24789},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - The stochastic Landau-Lifshitz-Baryakhtar equation in critical spaces
AU - Federico Butori
AU - Foivos Evangelopoulos-Ntemiris
AU - Lorenzo Marino
AU - Max Orteu-Capdevila
PY - 2026
DA - 2026/09/21
PB - arXiv
DO - 10.48550/arxiv.2609.24789
UR - https://arxiv.org/abs/2609.24789
AB - We study the stochastic Landau--Lifshitz--Baryakhtar equation with multiplicative noise and homogeneous Neumann boundary conditions on smooth bounded domains in dimensions d≤ 3. Relying on stochastic maximal regularity results, we establish global well-posedness in a variational strong, intermediate, and weak setting, as well as for initial data in the scaling-critical Besov spaces B^d/q−1_q,p for every q∈[2,∞) and p∈(2,∞).
ER -