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Title

The Becker-Döring model with diffusion. I. Basic properties of solutions

Authors 1, 2

Affiliations

  1. Institut Elie Cartan-Nancy, Université de Nancy I, BP 239, F-54506 Vandœuvre-lès-Nancy Cedex, France
  2. Institute of Applied Mathematics and Mechanics, Warsaw University, Banacha 2, 02-097 Warszawa, Poland

Bibliography

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  7. J. F. Collet and F. Poupaud, Existence of solutions to coagulation-fragmentation systems with diffusion, Transport. Theory Statist. Phys. 25 (1996), 503-513.
  8. O. A. Ladyzhenskaya, V. A. Solonnikov and N. N. Uraltseva, Linear and Quasilinear Equations of Parabolic Type, Transl. Math. Monographs 23, Amer. Math. Soc., Providence, 1968.
  9. Ph. Laurençot and D. Wrzosek, Fragmentation-diffusion model. Existence of solutions and asymptotic behaviour, Proc. Roy. Soc. Edinburgh Sect. A, to appear.
  10. Ph. Laurençot and D. Wrzosek, The Becker-Döring model with diffusion. II. Long time behaviour, submitted.
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  12. O. Penrose and A. Buhagiar, Kinetics of nucleation in a lattice gas model: microscopic theory and simulation compared, J. Statist. Phys. 30 (1983), 219-241.
  13. F. Rothe, Global Solutions of Reaction-Diffusion Systems, Lecture Notes in Math. 1072, Springer, Berlin, 1984.
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  15. J. L. Spouge, An existence theorem for the discrete coagulation-fragmentation equations, Math. Proc. Cambridge Philos. Soc. 96 (1984), 351-357.
  16. D. Wrzosek, Existence of solutions for the discrete coagulation-fragmentation model with diffusion, Topol. Methods Nonlinear Anal. 9 (1997), 279-296.
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Colloquium Mathematicum
1998/75/2
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Pages:
245-269
Main language of publication
English
Received
1997-05-15
Published
1998
Exact and natural sciences