The Fundamental Solution of a Modified Oseen Problem

  • Reinhard Farwig

    Technische Hochschule Darmstadt, Germany
  • Antonín Novotný

    Université de Toulon et du Var, La Garde, France
  • Milan Pokorný

    Charles University, Praha, Czech Republic

Abstract

We study asymptotic properties of the fundamental solution to an Oseen-type system coming from fluid mechanics. We show that the solution has similar anisotropic structure near infinity as the fundamental solution to the (classical) Oseen problem. We also study integral operators with kernels representing the second gradient of the fundamental solution.

Cite this article

Reinhard Farwig, Antonín Novotný, Milan Pokorný, The Fundamental Solution of a Modified Oseen Problem. Z. Anal. Anwend. 19 (2000), no. 3, pp. 713–728

DOI 10.4171/ZAA/976