2017
Том 69
№ 9

All Issues

Dirichlet Problem for the Stokes Flow Function in a Simply-Connected Domain of the Meridian Plane

Plaksa S. A.

Full text (.pdf)


Abstract

We develop a method for the reduction of the Dirichlet problem for the Stokes flow function in a simply-connected domain of the meridian plane to the Cauchy singular integral equation. For the case where the boundary of the domain is smooth and satisfies certain additional conditions, the regularization of the indicated singular integral equation is carried out.

English version (Springer): Ukrainian Mathematical Journal 55 (2003), no. 2, pp 241-281.

Citation Example: Plaksa S. A. Dirichlet Problem for the Stokes Flow Function in a Simply-Connected Domain of the Meridian Plane // Ukr. Mat. Zh. - 2003. - 55, № 2. - pp. 197-231.

Full text