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ICPT ’91 pp 221–234Cite as

On the potential in thermodiffusion in solid body

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Abstract

In this paper we extend the results of the common paper with P. Wagner (cf. [5]) to the linear coupled system of five hyperbolic-parabolic partial differential equations of second order describing thermodiffusion in solid body. Using the Hilbert-Lévy method, we construct the matrix of fundamental solutions for the principal part and for the entire system of these equations. On the base of the method of potential theory, the solution of the Cauchy problem for the principal part of this system is obtained.

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Author information

Authors and Affiliations

  1. Department of Mathematics, Military Technical Academy, ul. S. Kaliskiego 2, 01-489, Warsaw, Poland

    Jerzy A. Gawinecki

Authors
  1. Jerzy A. Gawinecki
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Editor information

Editors and Affiliations

  1. Mathematisch Instituut, Rijksuniversiteit Utrecht, Budapestlaan 6, Postbus 80.010, 3508 TA, Utrecht, The Netherlands

    Emile Bertin

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© 1994 Springer Science+Business Media Dordrecht

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Gawinecki, J.A. (1994). On the potential in thermodiffusion in solid body. In: Bertin, E. (eds) ICPT ’91. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-1118-8_17

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  • DOI: https://doi.org/10.1007/978-94-011-1118-8_17

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-4488-2

  • Online ISBN: 978-94-011-1118-8

  • eBook Packages: Springer Book Archive

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