H2 solutions for the stream function and vorticity formulation of the Navier–Stokes equations

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摘要

We show that the two dimensional Navier–Stokes equations in the stream function and vorticity form with nonhomogeneous boundary conditions have a unique solution with a stream function having two space derivatives.

论文关键词：Stream function,Vorticity,Nonhomogeneous Navier–Stokes equations

论文评审过程：Available online 10 January 2006.

论文官网地址：https://doi.org/10.1016/j.amc.2005.09.098