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Minisymposium: Nonlinear Diffusion Processes: Cross Diffusion, Complex Diffusion and Related Topics

  • Adérito Araújo
  • Sílvia Barbeiro
  • Ángel Durán
  • Eduardo Cuesta
Conference paper
Part of the Mathematics in Industry book series (MATHINDUSTRY, volume 26)

Abstract

Nonlinear diffusion equations have attracted a lot of attention over the last few years in many practical applications. After the pioneering work of Keler and Segel in the 1970s, cross-diffusion models became very popular in biology, chemistry and physics to emulate systems with multiple species. The range of application is even wider and, in particular, complex-diffusion models are of special relevance for example in the field of image processing. Meanwhile the underlying mathematical theory has been developed in a synergetic way with applications, in recent years, this topic became the focus of an intensive research within the mathematics community. In spite of the relevance of cross-diffusion models in numerous fields of application and all the mathematical activity around them, important questions remain unanswered and meaningful challenging problems still need to be addressed.

Copyright information

© Springer International Publishing AG, part of Springer Nature 2017

Authors and Affiliations

  • Adérito Araújo
    • 1
  • Sílvia Barbeiro
    • 1
  • Ángel Durán
    • 2
  • Eduardo Cuesta
    • 2
  1. 1.CMUC, Department of MathematicsUniversity of CoimbraCoimbraPortugal
  2. 2.Department of Applied MathematicsUniversity of ValladolidValladolidSpain

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