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Oscillatory Limits with Changing Eigenvalues: A Formal Study

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New Directions in Mathematical Fluid Mechanics

Part of the book series: Advances in Mathematical Fluid Mechanics ((AMFM))

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Abstract

This paper deals with oscillatory limits with changing eigenvalues, more precisely with possibly crossing eigenvalues in space dimension greater than 1. The goal being to underline the various difficulties, to analyze them formally and present some related mathematical results obtained recently by the authors.

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Author information

Authors and Affiliations

  1. LAMA, UMR5127 CNRS, Université de Savoie, F-73376, Le Bourget du lac, France

    Didier Bresch

  2. ENS Ulm, D.M.A., 45 rue d’Ulm, F-75230, Paris cedex 05, France

    Benoît Desjardins

  3. Modélisation Mesures et Applications S.A., 66 avenue des Champs Elysées, F-75008, Paris, France

    Benoît Desjardins

  4. U.M.P.A., École Normale Supérieure de Lyon, 46, allée d’Italie, F-69364, Lyon Cedex 07, France

    Emmanuel Grenier

Authors
  1. Didier Bresch
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  2. Benoît Desjardins
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  3. Emmanuel Grenier
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Editor information

Editors and Affiliations

  1. Department of Mechanics and Mathematics, Moscow State University, Vorob’evy Gory, 119991, Moscow, Russia

    Andrei V. Fursikov

  2. Department of Mechanical Engineering and Materials Science, University of Pittsburgh, 630 Benedum Engineering Hall, Pittsburgh, PA, 15261, USA

    Giovanni P. Galdi

  3. Lavrentyev Institute of Hydrodynamics, Lavrentyev prospect 15, 630090, Novosibirsk, Russia

    Vladislav V. Pukhnachev

Additional information

To the memory of Professor Alexander V. Kazhikhov: A mentor and a friend.

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© 2009 Birkhäuser Verlag Basel/Switzerland

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Bresch, D., Desjardins, B., Grenier, E. (2009). Oscillatory Limits with Changing Eigenvalues: A Formal Study. In: Fursikov, A.V., Galdi, G.P., Pukhnachev, V.V. (eds) New Directions in Mathematical Fluid Mechanics. Advances in Mathematical Fluid Mechanics. Birkhäuser Basel. https://doi.org/10.1007/978-3-0346-0152-8_5

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