WELL-POSEDNESS FOR MICROSTRETCH ELASTICITY IN THE CASE OF MASS AND THERMAL DIFFUSIONADINA CHIRILA, MARIN MARIN (pp. 191-210)
Abstract.We analyze a mathematical model for microstretch thermoelasticity with diffusion, in which each microelement is endowed with micro-concentrations and micro-temperatures. We study the linear, anisotropic case. By considering a certain Hilbert space, the mixed problem constructed in this context is reduced to an abstract problem in the centro-symmetric case. The well-posedness of the mathematical model is proven by using a semigroup of linear operators.
Keywords: microstretch elasticity, partial differential equations, existence, uniqueness, diffusion, microtemperatures, microconcentrations