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Fast Reaction Limits and Liesegang Bands

  • D. Hilhorst
  • R. van der Hout
  • M. Mimura
  • I. Ohnishi
Part of the International Series of Numerical Mathematics book series (ISNM, volume 154)

Keywords

Weak Solution Heaviside Function Precipitation Region Singular Limit Strong Maximum Principle 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

  1. [1]
    R.E. Liesegang, Chemische Fernwirkung, Photo. Archiv. 800 (1896), 305–309.Google Scholar
  2. [2]
    J.B. Keller, and S.I. Rubinow, Recurrent precipitation and Liesegang rings, J. Chem. Phys. 74 (1981), 5000–5007.CrossRefMathSciNetGoogle Scholar
  3. [3]
    D. Hilhorst, R. van der Hout, and L.A. Peletier, The fast reaction limit for a reaction-diffusion system, J. Math. Anal. Appl. 199 (1996), 349–373.CrossRefMathSciNetGoogle Scholar
  4. [4]
    D. Hilhorst, R. van der Hout, and L.A. Peletier, Diffusion in the presence of fast reaction: the case of a general monotone reaction term, J. Math. Sci. Univ. Tokyo 4, (1997), 469–517.MathSciNetGoogle Scholar
  5. [5]
    D. Hilhorst, R. van der Hout, M. Mimura and I. Ohnishi, The singular limit of a problem for Liesegang bands, in preparation.Google Scholar
  6. [6]
    D. Hilhorst, R. van der Hout, M. Mimura and I. Ohnishi, A mathematical study of Liesegang bands, in preparation.Google Scholar

Copyright information

© Birkhäuser Verlag Basel/Switzerland 2006

Authors and Affiliations

  • D. Hilhorst
    • 1
  • R. van der Hout
    • 2
  • M. Mimura
    • 3
  • I. Ohnishi
    • 4
  1. 1.Laboratoire de MathématiqueUniversité de Paris-Sud (Bât. 425)Orsay CedexFrance
  2. 2.Mathematical InstituteUniversity of LeidenLeidenThe Netherlands
  3. 3.Department of Mathematics, School of Science and Technology, Meiji Institute for Mathematical Science and TechnologyMeiji UniversityKawasakiJapan
  4. 4.Institute for Nonlinear Sciences and Applied Mathematics, Graduate School of ScienceHiroshima UniversityHigashi-HiroshimaJapan

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