Flows on a Riemann surface: A classification of flows on the torus

Semenko E.V.

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Flows on a Riemann surface: A classification of flows on the torus

机译：在riemann表面上流动：圆环上流动的分类

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摘要

Developing the idea to use Riemann surfaces for modeling flat flows, we completely classify all flows that can be modeled using the Riemann surface of genus 1 (the torus).

机译：开发使用Riemann表面来建模平面流的想法，我们完全分类了所有可以使用Genus（圆环）的Riemann表面建模的所有流程。

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来源
《Journal of applied and industrial mathematics》 |2010年第2期|共13页
作者
Semenko E.V.;
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作者单位

Novosibirsk State Pedagogical University ul. Vilyuiskaya 28 Novosibirsk 630126 Russian Federation;

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原文格式 PDF
正文语种 eng
中图分类应用数学;
关键词
Flat flow; Flow scheme; Riemann surface; Streamline; Torus;

机译：平流动;流动方案;riemann表面;流线线;圆环;

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专利

1. Flows on a Riemann surface: A classification of flows on the torus [J] . Semenko E.V. Journal of applied and industrial mathematics . 2010,第2期

机译：在riemann表面上流动：圆环上流动的分类
2. Flows in torus classification: schemes of two-dimensional flows past a pair of aerofoils [J] . Evgeny V. Semenko IMA Journal of Applied Mathematics . 2010,第6期

机译：圆环分类中的流动：经过一对翼型的二维流动方案
3. Liouville classification of integrable geodesic flows in a potential field on two-dimensional manifolds of revolution: the torus and the Klein bottle [J] . Timonina D. S. Sbornik. Mathematics . 2018,第11a12期

机译：LIOUVILLE在革命二维歧管上的潜在场中可积极的流量分类：圆环和克莱因瓶
4. A New Hllem-Type Riemann Solver for Compressible Multi-phase Flows with Surface Tension [C] . Nguyen T Nguyen, Michael Dumbser International Conference on Advanced Computing and Applications . 2015

机译：具有表面张力的可压缩多相流的新型Hllem型Riemann解算器
5. The Coupled Ricci Flow and the Anomaly Flow over Riemann Surface [D] . Huang, Zhijie. 2018

机译：黎曼表面上的耦合Ricci流和异常流
6. Understanding turbulent free-surface vortex flows using a Taylor-Couette flow analogy [O] . Sean Mulligan, Giovanni De Cesare, John Casserly, -1

机译：使用泰勒-库埃特流类比理解湍流自由表面涡流
7. Expansiveness for the geodesic and horocycle flows on compact Riemann surfaces of constant negative curvature [O] . Huynh Minh Hien 2019

机译：测地和竖枝流动的膨胀性在恒定负曲率的紧凑型riemann表面上流动
8. Cherry Flows on the Torus: Towards a Classification [R] . Martens, M., de Melo, W., Mendes, P., 1988

机译：Torus上的樱桃流：走向分类

Flows on a Riemann surface: A classification of flows on the torus

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