吉首大学学报（自然科学版）2024，Vol.45Issue(1)：13-18,6.DOI:10.13438/j.cnki.jdzk.2024.01.003
带Navier边界条件的广义随机Navier-Stokes方程解的适定性
Well-Posedness of Generalized Stochastic Navier-Stokes Equation with Navier Boundary Condition
薛媛媛 1江珊1
作者信息
- 1. 南京财经大学应用数学学院,江苏南京 210046
- 折叠
摘要
Abstract
For the generalized stochastic Navier-Stokes equations with Navier boundary condition,we prove a priori estimates for the Navier-Stokes equations in L2 and L4.And then,we prove the monotonic-ity of nonlinear terms.At last by using Minty-Browder we get the global existence and uniqueness for the weak solution of the stochastic equation.关键词
Navier滑移边界条件/阻尼项/随机Navier-Stokes方程/适定性Key words
Navier slip boundary/damping/stochastic Navier-Stokes equation/well-posedness分类
数理科学引用本文复制引用
薛媛媛,江珊..带Navier边界条件的广义随机Navier-Stokes方程解的适定性[J].吉首大学学报（自然科学版）,2024,45(1):13-18,6.
