Local existence of the stochastic Navier-Stokes equations in the whole space

Autor:	Kukavica, Igor, Wang, Fei, Xu, Fanhui
Rok vydání:	2023
Předmět:	Mathematics - Analysis of PDEs
Druh dokumentu:	Working Paper
Popis:	We address the local well-posedness for the stochastic Navier-Stokes system with multiplicative cylindrical noise in the whole space. More specifically, we prove that there exists a unique local strong solution to the system in $L^p(\mathbb{R}^3)$ for $p>3$.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2301.12877 Zobrazit plný text záznamu View this record from Arxiv