ArticleOriginal scientific text
Title
On a non-stationary free boundary transmission problem with continuous extraction and convection, arising in industrial processes
Authors 1, 2
Affiliations
- Department of Mathematics, University of British Columbia, Vancouver, B.C., Canada V6T 1Y4
- Institute of Applied Mathematics and Mechanics, University of Warsaw, Banacha 2, 02-097 Warszawa, Poland
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].
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