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Quotients of Navier–Stokes equation on space curves
Analysis and Mathematical Physics ( IF 1.7 ) Pub Date : 2021-10-17 , DOI: 10.1007/s13324-021-00608-y Anna Duyunova 1 , Valentin Lychagin 1 , Sergey Tychkov 1
中文翻译:
空间曲线上 Navier-Stokes 方程的商
更新日期:2021-10-17
Analysis and Mathematical Physics ( IF 1.7 ) Pub Date : 2021-10-17 , DOI: 10.1007/s13324-021-00608-y Anna Duyunova 1 , Valentin Lychagin 1 , Sergey Tychkov 1
Affiliation
A Navier–Stokes system on a curve is discussed. The quotient equation for this system is found. The quotient is used to find some solutions of Navier–Stokes system. Using asymptotic virial expansion of the Planck potential, we reduce the quotient equation to a series of systems of ordinary differential equations.
中文翻译:
空间曲线上 Navier-Stokes 方程的商
讨论了曲线上的 Navier-Stokes 系统。找到该系统的商方程。商用于寻找 Navier-Stokes 系统的一些解。使用普朗克势的渐近维里展开式,我们将商方程化简为一系列常微分方程组。