Contents V.13 N.2 2022

  • WELL-POSEDNESS FOR MICROSTRETCH ELASTICITY IN THE CASE OF MASS AND THERMAL DIFFUSION
    ADINA 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

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