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Czechoslovak Journal of Physics B

, Volume 35, Issue 5, pp 490–493 | Cite as

The inverse problem for diffusion equations

  • J. Kvasnica
Article
  • 243 Downloads

Abstract

In the standard procedure one has to find the concentration from given initial (and boundary) conditions. We investigate here an inverse problem: to find the initial concentration from the known resulting concentration. This problem is of importance particularly for non-linear diffusion equations where the concentration dependenceD ≡ D(c) of the diffusion coefficient is analysed in terms of the Boltzmann-like solutionc ≡ f(xt−1/2). This type of solution is, however, closely related to a very special initial condition for the concentration. The disregard of this fact might lead to misleading analysis ofD(c).

Keywords

Diffusion Coefficient Standard Procedure Inverse Problem Diffusion Equation Concentration dependenceD 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

  1. [1]
    Bunsch A., Steeb S.: Z. Metallk.65 (1974) 765.Google Scholar
  2. [2]
    Kvasnica J.: Diffusion in Metals, ÚFM ČSAV, Brno, 1976.Google Scholar
  3. [3]
    Kvasnica J.: Czech. J. Phys. B32 (1982) 19.Google Scholar

Copyright information

© Academia, Publishing House of the Czechoslovak Academy of Sciences 1985

Authors and Affiliations

  • J. Kvasnica
    • 1
  1. 1.Department of Mathematical PhysicsCharles UniversityPraha 8Czechoslovakia

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