1,721,054 research outputs found
Asymptotic analysis of a diffusive model for shape memory alloys with Cattaneo-Maxwell heat flux law
No full text
Global solvability of a dissipative Fremond model for shape memory alloys, Part II: existence
No full textSome results on the well-posedness of an integro-differential Fremond model for shape memory alloys
No full textGlobal solvability of a dissipative Frémond model for shape memory alloys. Part I : Mathematical formulation and uniqueness
No full textThe mathematical formulation of a dissipative Frémond model for shape memory alloys is given in terms of an initial and boundary values problem. Uniqueness of sufficiently regular solutions is proved by use of a contracting estimates procedure in the case when quadratic dissipative contributions are neglected in the energy balance. The related existence result is only established while its proof will be detailed by the author in a subsequent paper
Well-posedness results for a model of damage in thermoviscoelastic materials
No full textThis paper deals with a phase transitions model describing the evolution of damage in thermoviscoelastic materials. The resulting
system is highly non-linear, mainly due to the presence of quadratic dissipative terms and non-smooth constraints on the variables.
Existence and uniqueness of a solution are proved, as well as regularity results, on a suitable finite time interval
Some asymptotic analysis for hyperbolic relaxed Stefan problems with memory
No full textThe aim of this paper is to establish existence and uniqueness of the solution to a diffusive phase transition problem for an integrodifferential energy balance equation of hyperbolic type. We also examine some asymptotic relations with the related phase-field problem and the limiting case of the hyperbolic Stefan problem with memory
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