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Fast Reaction Limits and Liesegang Bands

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Book cover Free Boundary Problems

Part of the book series: International Series of Numerical Mathematics ((ISNM,volume 154))

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References

  1. R.E. Liesegang, Chemische Fernwirkung, Photo. Archiv. 800 (1896), 305–309.

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  2. J.B. Keller, and S.I. Rubinow, Recurrent precipitation and Liesegang rings, J. Chem. Phys. 74 (1981), 5000–5007.

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  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.

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  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.

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  5. D. Hilhorst, R. van der Hout, M. Mimura and I. Ohnishi, The singular limit of a problem for Liesegang bands, in preparation.

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  6. D. Hilhorst, R. van der Hout, M. Mimura and I. Ohnishi, A mathematical study of Liesegang bands, in preparation.

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Author information

Authors and Affiliations

  1. Laboratoire de Mathématique, Université de Paris-Sud (Bât. 425), F-91405, Orsay Cedex, France

    D. Hilhorst

  2. Mathematical Institute, University of Leiden, POB 9512, NL-2300 RA, Leiden, The Netherlands

    R. van der Hout

  3. Department of Mathematics, School of Science and Technology, Meiji Institute for Mathematical Science and Technology, Meiji University, Higashimita, Tama-ku, Kawasaki, 214-8571, Japan

    M. Mimura

  4. Institute for Nonlinear Sciences and Applied Mathematics, Graduate School of Science, Hiroshima University, Higashi-Hiroshima, 739-8526, Japan

    I. Ohnishi

Authors
  1. D. Hilhorst
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  2. R. van der Hout
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  3. M. Mimura
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  4. I. Ohnishi
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Editor information

Editors and Affiliations

  1. Departamento de Matemática Faculdade de Ciências e Tecnologia, Universidade de Coimbra, Apartado 3008, 3001-454, Coimbra, Portugal

    Isabel Narra Figueiredo

  2. Universidade de Lisboa / CMAF, Av. Prof. Gama Pinto 2, 1649-003, Lisboa, Portugal

    José Francisco Rodrigues

  3. Departamento de Matemática, Universidade do Minho, Campus de Gualtar, 4710-057, Braga, Portugal

    Lisa Santos

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© 2006 Birkhäuser Verlag Basel/Switzerland

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Hilhorst, D., van der Hout, R., Mimura, M., Ohnishi, I. (2006). Fast Reaction Limits and Liesegang Bands. In: Figueiredo, I.N., Rodrigues, J.F., Santos, L. (eds) Free Boundary Problems. International Series of Numerical Mathematics, vol 154. Birkhäuser, Basel. https://doi.org/10.1007/978-3-7643-7719-9_24

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