Publication Cover
Applicable Analysis
An International Journal
Volume 60, 1996 - Issue 3-4
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Original Articles

Local existence and uniqueness of a stefan problem with surface tension

Pages 219-240 | Received 01 Nov 1995, Published online: 02 May 2007

  • Abergel , F. , Hilhorst , D. and Issard-Roch , F. 1993 . On A Dissolution-Growth Problem With Surface Tension In The Neighborhood Of A Stationary Solution . Siam J. Math. Anal. , 24 ( 2 ) : 299 – 316 .
  • Bazali , B.V. and Degtyarev , S.P. 1988 . On Classical Solvability Of The Multidimensional Stefan Problem For Convective Motion Of A Viscous Incompressible Jluid . Math. Ussr Sbornik , 60 ( 1 )
  • Chen , X. and Reitich , F. 1992 . Local Existence And Uniqueness Of Solutions Of The Stefan Problem With Surface Tension And Kinetic Undercooling . J. Math. Anal. Appl. , 164 : 350 – 362 .
  • Doubrovine , B. , Novikov , S. and Fomenko , A. 1982 . “ Gebme'Trie Contemporaine, Me'Thodes Et Applications ” . Moscou : Tome I, Edition Mir .
  • Dupaix , C. , Hilhorst , D. and Scheid , J . F. 1994 . “ On A Dissolution-Growth Problem With Surface Tension ” . In A Numerical Study, Preprint , Paris : Université De Paris-Sud .
  • ady[ztilde]Enskaja O.A. Solonnikov V.A. Ural'Ceva N.N. Linear And Quasilinear Equations Of Parabolic Type, Translations Of Mathematical Monographs Providence R.1, American Mathematical Society 1986 23 to appear
  • Radkevitch , E. 1991 . “ The Gibbs-Thomson Correction And Conditions For The Classical Solution Of The Modified Stefan Problem ” . Vol. 43 , Berlin : Soviet Mathematics Doklady . No 1
  • Scheid , J.F. 1995 . On A Dissolution-Growth Problem With Surface Tension : Local Existence And Uniqueness . Appl. Math. Lett , 8 : 91 – 96 .
  • Scheid , J.F. Etude Thebrique Et Nume'Rique De L'E'Volution Morphologique D'Interfaces . Ph. D. Thesis . 1972/73 , anné. Orsay

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