FOMENKO INVARIANTS IN THE ASYMPTOTIC THEORY OF THE NAVIER-STOKES EQUATIONS

V. P. Maslov; A. I. Shafarevich

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FOMENKO INVARIANTS IN THE ASYMPTOTIC THEORY OF THE NAVIER-STOKES EQUATIONS

机译：Navier-Stokes方程的渐近理论中的FOMENKO不变量

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摘要

We discuss connections between Fomenko invariants of Liouville foliations and asymptotic solutions of the Navier-Stokes equations that describe vortex structures in an incompressible fluid.

机译：我们讨论了Liouville叶片的Fomenko不变量与Navier-Stokes方程的渐近解之间的联系，该方程描述了不可压缩流体中的涡旋结构。

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《Journal of Mathematical Sciences》 |2017年第4期|665-680|共16页
作者
V. P. Maslov; A. I. Shafarevich;
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Moscow State University, Moscow, Russia;

Moscow State University, Moscow, Russia;

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正文语种 eng
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2. Invariant Manifolds and the Long-Time Asymptotics of the Navier-Stokes and Vorticity Equations on R2 [J] . Thierry Gallay, C. Eugene Wayne Archive for Rational Mechanics and Analysis . 2002,第3期

机译：R2上的Navier-Stokes和涡度方程的不变流形和长时间渐近性
3. ASYMPTOTIC SOLUTIONS OF NAVIER-STOKES EQUATIONS AND TOPOLOGICAL INVARIANTS OF VECTOR FIELDS AND LIOUVILLE FOLIATIONS [J] . V. P. Maslov, A. I. Shafarevich Theoretical and mathematical physics . 2014,第2期

机译：Navier-Stokes方程的渐近解和矢量场和Liuouville叶片的拓扑不变性
4. OBTAINING THE SELF-SIMILAR ASYMPTOTICS OF SOLUTIONS TO THE NAVIER-STOKES EQUATIONS BY POWER GEOMETRY [C] . M. M. Vasiliev International ISAAC Congress . 2003

机译：通过电力几何获得对Navier-Stokes方程的自相似渐近毒理
5. Asymptotic Approximation of Fluid Flows from the Compressible Navier-Stokes Equations [D] . Welter, Roland Kuha. 2021

机译：从压缩Navier-Stokes方程式流体流动的渐近近似
6. On Certain Asymptotic Expressions in the Theory of Linear Differential Equations [O] . W. E. Milne 1916

机译：关于线性微分方程理论中的某些渐近表达式
7. Invariant manifolds and the long-time asymptotics of the Navier-Stokes and vorticity equations on R^2 [O] . Gallay, Th., Wayne, C. E. 2001

机译：不变流形和Navier-stokes的长期渐近性和R ^ 2上的涡度方程

FOMENKO INVARIANTS IN THE ASYMPTOTIC THEORY OF THE NAVIER-STOKES EQUATIONS

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