三维超耗散各向异性Navier-Stokes方程
3D hyperdissipative anisotropic Navier-Stokes equations
本文考虑了三维超耗散各向异性的Navier-Stokes方程组的柯西问题。利用能量估计方法,证明了强解的整体存在性。通过降维方法,可以推得二维Navier-Stokes方程组的经典整体正则性结果。
he three dimensionalhyperdissipative anisotropic Navier--Stokes system is considered in this paper. The global existence of the strong solutionis proved by the energy method. Then, using the method of descent, one can obtain theclassical global regularity result of two dimensional Navier-Stokessystem.
张挺
数学力学
偏微分方程Navier-Stokes方程整体解
PDEsNavier-Stokes equationsglobal solution
张挺.三维超耗散各向异性Navier-Stokes方程[EB/OL].(2012-09-10)[2025-08-11].http://www.paper.edu.cn/releasepaper/content/201209-82.点此复制
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