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

作　　者：薛媛媛 江珊 XUE Yuanyuan;JIANG Shan(School of Applied Mathematics,Najing University of Finance and Economics,Nanjing 210046,China)

机构地区：[1]南京财经大学应用数学学院,江苏南京210046

出　　处：《吉首大学学报（自然科学版）》2024年第1期13-18,共6页Journal of Jishou University(Natural Sciences Edition)

摘　　要：对于有界区域二维随机Navier-Stokes方程(有界区域的边界条件为Navier滑移边界条件),给出了该方程弱解在L^(2)和L^(4)中的先验估计,证明了非线性项的单调性,并利用经典的Minty-Browder方法证明了方程随机弱解的整体存在性和唯一性.For the generalized stochastic Navier-Stokes equations with Navier boundary condition,we prove a priori estimates for the Navier-Stokes equations in L^(2)and L^(4).And then,we prove the monotonicity 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 

分 类 号：O29[理学—应用数学]