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  • 1. Aiki, T.
    et al.
    Hilhorst, D.
    Mimura, M.
    Muntean, Adrian
    Technische Universiteit Eindhoven, Department of Mathematics and Computer Science, Eindhoven, Netherlands .
    Preface2012In: Discrete and Continuous Dynamical Systems. Series S, ISSN 1937-1632, E-ISSN 1937-1179, discrete and cont, Vol. 5, no 1, p. 1-Article in journal (Refereed)
  • 2.
    Aiki, Toyohiko
    et al.
    Gifu University, Japan.
    Anthonissen, Martijn
    Eindhoven University Technology, Netherlands.
    Muntean, Adrian
    Eindhoven University Technology, Netherlands.
    On a one-dimensional shape-memory alloy model in its fast-temperature- activation limit2012In: Discrete and Continuous Dynamical Systems. Series S, ISSN 1937-1632, E-ISSN 1937-1179, Vol. 5, no 1, p. 15-28Article in journal (Refereed)
  • 3.
    Aiki, Toyohiko
    et al.
    Japan Womens Univ, Fac Sci, Dept Math, Bunkyo Ku, Tokyo.
    Hulshof, Joost
    Vrije Univ Amsterdam, Fac Sci, Dept Math, Amsterdam, Netherlands.
    Kenmochi, Nobuyuki
    Bukkyo Univ, Sch Educ Math, Kita Ku, Kyoto.
    Muntean, Adrian
    Eindhoven Univ Technol, Dept Math & Comp Sci,.
    Analysis of non-equilibrium evolution problems: Selected topics in material and life sciences2014In: Discrete and Continuous Dynamical Systems. Series S, ISSN 1937-1632, E-ISSN 1937-1179, Vol. 7, no 1Article in journal (Refereed)
  • 4.
    Kumar, Kundan
    et al.
    Tech Univ Eindhoven, CASA, NL-5600 MB Eindhoven, Netherlands..
    van Noorden, Tycho
    Dept Math, Chair Appl Math 1, D-91058 Erlangen, Germany..
    Pop, Iuliu Sorin
    Tech Univ Eindhoven, CASA, NL-5600 MB Eindhoven, Netherlands..
    Upscaling Of Reactive Flows In Domains With Moving Oscillating Boundaries2014In: Discrete and Continuous Dynamical Systems. Series S, ISSN 1937-1632, E-ISSN 1937-1179, Vol. 7, no 1, p. 95-111Article in journal (Refereed)
    Abstract [en]

    We consider the flow and transport of chemically reactive substances (precursors) in a channel over substrates having complex geometry. In particular, these substrates are in the form of trenches forming oscillating boundaries. The precursors react at the boundaries and get deposited. The deposited layers lead to changes in the geometry and are explicitly taken into account. Consequently, the system forms a free boundary problem. Using formal asymptotic techniques, we obtain the upscaled equations for the system where these equations are defined on a domain with flat boundaries. This provides a huge gain in computational time. Numerical experiments show the effectiveness of the upscaling process.

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