随机噪声强迫的 Boussinesq 系统的律不唯一性
偏微分方程分析
2022-07-06 v2
摘要
Hofmanov 等人（2019, arXiv:1912.11841 [math.PR]）近期建立了随机噪声强迫的三维 Navier-Stokes 方程的律不唯一性。本工作的目的是证明随机噪声强迫的 Boussinesq 系统的律不唯一性。其温度标量场方程中的扩散项具有完整的 Laplacian，且温度标量场初始可为光滑。
引用
@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}
}
备注
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