1-D Inverse Problem of Thermoelasticity

  • Valery G. Yakhno
Conference paper

Summary

The paper deals with an inverse dynamic problem for the uncoupled system of thermoelasticity. This problem is reduced to two auxiliary inverse problems: the recovery of the density and Lame functions appearing in the Lame system of elasticity, and then finding the heat extension-function entering in the system of thermoelasticity. Uniqueness and stability estimate theorems are established for each of the auxiliary inverse problem. Existence theorem for the solution of the second auxiliary problem is proved. The numerical methods for the solution of each problem are discussed.

Keywords

Microwave Turkey Univer 

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References

  1. 1.
    A.D. Kovalenko Thermoelasticity, (Vischa Skola, Kiev, 1975) (Russian)Google Scholar
  2. 2.
    P.E. Sacks, V.G. Yakhno: J. of Math. Analysis and Appl., 228 (1998)Google Scholar
  3. 3.
    V.G. Yakhno Inverse Problems for Differential Equations of Elasticity, (Nauka, Novosibirsk, 1990) (Russian)MATHGoogle Scholar
  4. 4.
    V.G. Romanov Inverse Problems of Mathematical Physics, (VNU Science Press, Utrecht, The Netherlands, 1987)Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2003

Authors and Affiliations

  • Valery G. Yakhno
    • 1
  1. 1.Faculty of Arts and Sci.Dokuz Eylul UniversityBuca, IzmirTurkey

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