Filtration under a stepped dam and Riemann theta functions

DOI10.1134/S0081543820060024zbMath1457.76159OpenAlexW3128101091MaRDI QIDQ2227080

Andrei Borisovich Bogatyrev, O. A. Grigoriev

Publication date: 9 February 2021

Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0081543820060024

zbMATH Keywords

moduli spaceporous medium flowSchwarz-Christoffel integralhydraulic structurereal meromorphic differential

Mathematics Subject Classification ID

Hydrology, hydrography, oceanography (86A05) Flows in porous media; filtration; seepage (76S05) Complex variables methods applied to problems in fluid mechanics (76M40)

Related Items (2)

On the solution of a conformal mapping problem by means of Weierstrass functions ⋮ Summation of Poincaré theta series in the Schottky model

Cites Work

• Conformal mapping of rectangular heptagons. II
• The hyperelliptic locus
• Tata lectures on theta. I: Introduction and motivation: Theta functions in one variable. Basic results on theta functions in several variables. With the assistance of C. Musili, M. Nori, E. Previato, and M. Stillman
• Image of Abel-Jacobi map for hyperelliptic genus 3 and 4 curves
• Ultraelliptic integrals and two-dimensional sigma functions
• Inversion of a general hyperelliptic integral and particle motion in Hořava–Lifshitz black hole space-times
• Computing Riemann theta functions
• Conformal mapping of rectangular heptagons
• Numerical-analytical method for conformal mapping of polygons with six right angles
• Tata lectures on theta. II: Jacobian theta functions and differential equations. With the collaboration of C. Musili, M. Nori, E. Previato, M. Stillman, and H. Umemura
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