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Homogenization of the Integro-Differential Burgers Equation

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Integral Methods in Science and Engineering, Volume 1

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Abstract

The Burgers equation is a fundamental partial differential equation of fluid mechanics and acoustics. It occurs in various areas of applied mathematics, such as the modeling of gas dynamics and traffic flow (see [Ho50] and [Co51]).

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References

  1. Amosov, A., Panasenko, G.: Integro-differential Burgers equation. Solvability and homogenization. SIAM J. Math. Anal. (submitted).

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Author information

Authors and Affiliations

  1. Moscow Power Engineering Institute (Technical University), Moscow, Russia

    A. Amosov

  2. Université de Saint-Étienne, Saint-Étienne, 42023, Cedex 2, France

    G. Panasenko

Authors
  1. A. Amosov
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  2. G. Panasenko
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Corresponding author

Correspondence to A. Amosov .

Editor information

Editors and Affiliations

  1. Department of Mathematical , University of Tulsa, South Tucker Drive 800, Tulsa, 74104, U.S.A.

    Christian Constanda

  2. Departamento de Matematica Aplicada, Universidad Cantabria, Santander, 39005, Spain

    M.E. Pérez

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Amosov, A., Panasenko, G. (2010). Homogenization of the Integro-Differential Burgers Equation. In: Constanda, C., Pérez, M. (eds) Integral Methods in Science and Engineering, Volume 1. Birkhäuser Boston. https://doi.org/10.1007/978-0-8176-4899-2_1

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