Stochastic two dimensional Euler equations

• 成果类型: Article
• 署名作者: Brzezniak, Z; Peszat, S
• 署名单位: University of Hull; Polish Academy of Sciences; Institute of Mathematics of the Polish Academy of Sciences
• 刊物名称: ANNALS OF PROBABILITY
• ISSN/ISSBN: 0091-1798
• 发表日期: 2001
• 页码: 1796-1832
• 关键词: partial-differential equations; POWERS; EXISTENCE; domains

摘要

The existence of a martingale solution to 2-dimensional stochastic Euler equations is proved. The constructed solution is a limit as the viscosity converges to zero of a sequence of solutions to modified Navier-Stokes equations.