Global existence for the stochastic Navier–Stokes equations with small $$L^{p}$$ data

Autor:	Igor Kukavica, Fanhui Xu, Mohammed Ziane
Rok vydání:	2021
Předmět:	Statistics and Probability Range (mathematics) Partial differential equation Multiplicative white noise Applied Mathematics Modeling and Simulation Numerical analysis Mathematical analysis Computational Science and Engineering Navier–Stokes equations Mathematics
Zdroj:	Stochastics and Partial Differential Equations: Analysis and Computations. 10:160-189
ISSN:	2194-041X 2194-0401
Popis:	We consider the stochastic Navier–Stokes equations in $${\mathbb T}^{3}$$ with multiplicative white noise. We construct a unique local strong solution with initial data in $$L^p$$ , where $$p>5$$ . We also address the global existence of the solution when the initial data is small in $$L^p$$ , with the same range of p.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::38241dcb986ce129f29d98f411826aa3 https://doi.org/10.1007/s40072-021-00196-9 Zobrazit plný text záznamu Full text from SpringerLink