zbMATH — the first resource for mathematics

A nonlocal parabolic system with application to a thermoelastic problem. (English) Zbl 0948.35061
Summary: A system modeling the thermoelastic bars contacts is studied. The problem is first transformed into an equivalent nonlocal parabolic system using a transformation, and then the existence and uniqueness of the solutions are demonstrated via the theoretical potential representation theory of the parabolic equations. Finally some realistic situations in the applications are discussed using the results obtained in this paper.
35K50 Systems of parabolic equations, boundary value problems (MSC2000)
45K05 Integro-partial differential equations
35A05 General existence and uniqueness theorems (PDE) (MSC2000)
74F05 Thermal effects in solid mechanics
Full Text: DOI EuDML