On a non-stationary free boundary transmission problem with continuous extraction and convection, arising in industrial processes
Volume 27 / 1992
Banach Center Publications 27 (1992), 23-44
DOI: 10.4064/-27-1-23-44
Abstract
The existence of a weak solution of a non-stationary free boundary transmission problem arising in the production of industrial materials is established. The process is governed by a coupled system involving the Navier--Stokes equations and a non-linear heat equation. The stationary case was studied in [7].