Non-uniqueness in law for Boussinesq system forced by random noise
Analysis of PDEs
2022-07-06 v2
Abstract
Non-uniqueness in law for three-dimensional Navier-Stokes equations forced by random noise was established recently in Hofmanov et al. (2019, arXiv:1912.11841 [math.PR]). The purpose of this work is to prove non-uniqueness in law for the Boussinesq system forced by random noise. Diffusion within the equation of its temperature scalar field has a full Laplacian and the temperature scalar field can be initially smooth.
Keywords
Cite
@article{arxiv.2101.05411,
title = {Non-uniqueness in law for Boussinesq system forced by random noise},
author = {Kazuo Yamazaki},
journal= {arXiv preprint arXiv:2101.05411},
year = {2022}
}
Comments
The range of the exponent of a fractional Laplacian in the 3D case has been expanded. Some other structural changes have been made. This preprint has not undergone peer review or any post-submission improvements or corrections