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1992 | 27 | 1 | 23-44
Tytuł artykułu

On a non-stationary free boundary transmission problem with continuous extraction and convection, arising in industrial processes

Treść / Zawartość
Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
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].
Słowa kluczowe
Rocznik
Tom
27
Numer
1
Strony
23-44
Opis fizyczny
Daty
wydano
1992
Twórcy
autor
  • 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
Bibliografia
  • [1] J. P. Aubin, Un théorème de compacité, C. R. Acad. Sci. Paris 256 (1963), 5042-5044.
  • [2] E. Di Benedetto, Continuity of weak solutions to certain singular parabolic equations, Ann. Mat. Pura Appl. (4) 130 (1982), 131-176.
  • [3] A. Caffarelli, R. Kohn and L. Nirenberg, Partial regularity of suitable weak solutions of the Navier-Stokes equations, Comm. Pure Appl. Math. 35 (6) (1982), 771-831.
  • [4] J. R. Cannon, E. Di Benedetto and G. H. Knightly, The bidimensional Stefan problem with convection: the time dependent case, Comm. Partial Differential Equations 8 (14) (1983), 1549-1604.
  • [5] J. R. Cannon, E. Di Benedetto and G. H. Knightly, The steady state Stefan problem with convection, Arch. Rational Mech. Anal. 73 (1980), 79-97.
  • [6] A. Ladyzhenskaya, V. A. Solonnikov and N. N. Ural'tseva, Linear and Quasilinear Equations of Parabolic Type, Amer. Math. Soc. Transl. Math. Monographs 23, Providence, R.I., 1968.
  • [7] J.-F. Rodrigues, A steady-state Boussinesq-Stefan problem with continuous extraction, Ann. Mat. Pura Appl. 144 (1986), 203-218.
  • [8] R. Temam, Navier-Stokes Equations, North-Holland, Amsterdam 1977.
Typ dokumentu
Bibliografia
Identyfikatory
Identyfikator YADDA
bwmeta1.element.bwnjournal-article-bcpv27z1p23bwm
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