Potential Flow Past a Circular Cylinder with Permeable Surface and Nonlinear Filtration Law

  • Elias Wegert

    Bergakademie Freiberg, Germany
  • Lothar von Wolfersdorf

    Technische Universität, Freiberg, Germany

Abstract

The plane potential flow past a circular cylinder with porous surface for two classes of nonlinear filtration laws is dealt with by reducing the problem to a nonlinear singular integral equation and to a linear Riemann-Hilbert problem for a quasilinear equation of Beltrami type, respectively. A general topological existence theorem for the problem will be proven.

Cite this article

Elias Wegert, Lothar von Wolfersdorf, Potential Flow Past a Circular Cylinder with Permeable Surface and Nonlinear Filtration Law. Z. Anal. Anwend. 9 (1990), no. 5, pp. 415–428

DOI 10.4171/ZAA/412