L. Jentsch; D. Natroshvili; I. Sigua : Mixed Interface Problems of Thermoelastic Pseudo-Oscillations

Author(s) :

L. Jentsch; D. Natroshvili; I. Sigua

Title :

Mixed Interface Problems of Thermoelastic Pseudo-Oscillations

Electronic source :

[gzipped ps-file] 114 kB
[gzipped dvi-file] 51 kB

Preprint series

Technische Universität Chemnitz-Zwickau, Fakultät für Mathematik (Germany). Preprint 97-1, 1997

Mathematics Subject Classification :

31B10 [ Integral representations of harmonic functions (higher-dimensional) ]

31B25 [ Boundary behavior of harmonic functions (higher-dim.) ]

35C15 [ Integral representations of solutions of PDE ]

35E05 [ Fundamental solutions (PDE with constant coefficients) ]

45F15 [ Systems of singular linear integral equations ]

73B30 [ Thermodynamics of solids ]

73B40 [ Anisotropic materials ]

73C15 [ Uniqueness theorems in elasticity ]

73D30 [ Linear vibrations of solids ]

Abstract :

Three-dimensional basic and mixed interface problems of the mathematical theory of thermoelastic pseudo-oscillations are considered for piecewise homogeneous anisotropic bodies. Applying the method of boundary potentials and the theory of pseudodifferential equations existence and uniqueness theorems of solutions are proved in the space of regular functions C^(k+ alpha) and in the Bessel-potential (H^(s)_(p)) and Besov (B^(s)_(p,q)) spaces. In addition to the classical regularity results for solutions to the basic interface problems, it is shown that in the mixed interface problems the displacement vector and the temperature are Hölder continuous with exponent 0<alpha<1/2.

Keywords :

mixed interface problems, thermoelastic pseudo-oscillations, pseudodifferential equations

Language :

english

Publication time :

1/1997