On the Neumann problem of one-dimensional nonlinear thermoelasticity with time-inpendent external forces. (English) Zbl 0837.35142
One-dimensional nonlinear thermoelastic motion is analyzed using the equations of motion and the balance of energy. One of the essential assumptions is that the external force depends only on the inital position. The boundary conditions are Neumann types, the ends are traction free and they are thermally insulated. The purpose of this paper is to prove a unique existence theorem globally in time of the smooth solutions for the deformation function and the temperature distribution under given initial conditions.
Reviewer: I.Ecsedi (Miskolc-Egyetemvaros)
MSC:
| 35Q72 | Other PDE from mechanics (MSC2000) |
| 35B65 | Smoothness and regularity of solutions to PDEs |
| 35A05 | General existence and uniqueness theorems (PDE) (MSC2000) |
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