A free-boundary problem for Stokes equations: classical solutions
Stanislav Antontsev
Universidade de Lisboa, PortugalVadim Yurinsky
Universidade da Beira Interior, Covilhã, PortugalAnvarbek Meirmanov
Belgorod State University, Russian Federation

Abstract
The problem considered is that of evolution of the free boundary separating two immiscible viscous fluids with different constant densities. The motion is described by the Stokes equations driven by the gravity force. For flows in a bounded domain &OHgr; ?n, n ? 2, we prove existence and uniqueness of classical solutions, and concentrate on the study of properties of the moving boundary separating the two fluids.
Cite this article
Stanislav Antontsev, Vadim Yurinsky, Anvarbek Meirmanov, A free-boundary problem for Stokes equations: classical solutions. Interfaces Free Bound. 2 (2000), no. 4, pp. 413–424
DOI 10.4171/IFB/27