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Mean-Square Approximation of Navier-Stokes Equations with Additive Noise in Vorticity-Velocity Formulation 被引量:1
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作者 g.n.milstein M.V.Tretyakov 《Numerical Mathematics(Theory,Methods and Applications)》 SCIE CSCD 2021年第1期1-30,共30页
We consider a time discretization of incompressible Navier-Stokes equations with spatial periodic boundary conditions and additive noise in the vorticity-velocity formulation.The approximation is based on freezing the... We consider a time discretization of incompressible Navier-Stokes equations with spatial periodic boundary conditions and additive noise in the vorticity-velocity formulation.The approximation is based on freezing the velocity on time subintervals resulting in a linear stochastic parabolic equation for vorticity.At each time step,the velocity is expressed via vorticity using a formula corresponding to the Biot-Savart-type law.We prove the first mean-square convergence order of the vorticity approximation. 展开更多
关键词 Navier-Stokes equations VORTICITY numerical method stochastic partial differential equations mean-square convergence
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