- AutorIn
- L. Jentsch
- D Natroshvili
- Titel
- Interaction between Thermoelastic and Scalar Oscillation Fields (general anisotropic case)
- Zitierfähige Url:
- https://nbn-resolving.org/urn:nbn:de:bsz:ch1-199801162
- Abstract (EN)
- Three-dimensional mathematical problems of the interaction between thermoelastic and scalar oscillation fields are considered in a general anisotropic case. An elastic structure is assumed to be a bounded homogeneous anisortopic body occupying domain $\Omega^+\sub\R^3$ , where the thermoelastic field is defined, while in the physically anisotropic unbounded exterior domain $\Omega^-=\R^3\\ \overline{\Omega^+}$ there is defined the scalar field. These two fields satisfy the differential equations of steady state oscillations in the corresponding domains along with the transmission conditions of special type on the interface $\delta\Omega^{+-}$. Uniqueness and existence theorems, for the non-resonance case, are proved by the reduction of the original interface problems to equivalent systems of boundary pseudodifferential equations ($\Psi DEs$) . The invertibility of the corresponding matrix pseudodifferential operators ($\Psi DO$) in appropriate functional spaces is shown on the basis of generalized Sommerfeld-Kupradze type thermoradiation conditions for anisotropic bodies. In the resonance case, the co-kernels of the $\Psi DOs$ are analysed and the efficent conditions of solvability of the transmission problems are established.
- Freie Schlagwörter
- Fluid-solid interaction
- anisotropic bodies
- boundary integral method
- MSC 31B10
- MSC 31B25
- MSC 35C15
- MSC 35E05
- MSC 45F15
- MSC 73B30
- MSC 73B40
- MSC 73C15
- MSC 73D30
- Klassifikation (DDC)
- 510
- Publizierende Institution
- Technische Universität Chemnitz, Chemnitz
- URN Qucosa
- urn:nbn:de:bsz:ch1-199801162
- Veröffentlichungsdatum Qucosa
- 30.10.1998
- Dokumenttyp
- Preprint
- Sprache des Dokumentes
- Englisch