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This article is cited in 2 scientific papers (total in 2 papers)
Filtration under a Stepped Dam and Riemann Theta Functions
A. B. Bogatyrev, O. A. Grigor'ev Marchuk Institute of Numerical Mathematics of the Russian Academy of Sciences, ul. Gubkina 8, Moscow, 119333 Russia
Abstract:
A novel semi-analytical method for calculating the characteristics of the flow in a porous medium bounded by a rectangular polygonal barrier is proposed. The method is based on the usage of Riemann theta functions. It allows one to effectively solve certain filtration problems with machine accuracy and obtain some characteristics of the solutions without solving the problem as a whole.
Keywords:
porous media, Schwarz–Christoffel integral, theta functions, real meromorphic differentials, moduli spaces, hydraulic structures.
Received: February 25, 2020 Revised: June 19, 2020 Accepted: July 21, 2020
Citation:
A. B. Bogatyrev, O. A. Grigor'ev, “Filtration under a Stepped Dam and Riemann Theta Functions”, Analysis and mathematical physics, Collected papers. On the occasion of the 70th birthday of Professor Armen Glebovich Sergeev, Trudy Mat. Inst. Steklova, 311, Steklov Math. Inst., Moscow, 2020, 14–26; Proc. Steklov Inst. Math., 311 (2020), 10–21
Linking options:
https://www.mathnet.ru/eng/tm4145https://doi.org/10.4213/tm4145 https://www.mathnet.ru/eng/tm/v311/p14
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