The paper investigates an initial and boundary values problem which is derived from a dissipative Frémond model for shape memory alloys. Existence of a global solution for the abstract version of the evolution problem is proved by use of a semi-implicit time discretization scheme combined with an a priori estimates-passage to the limit procedure.
Global solvability of a dissipative frémond model for shape memory alloys. Part II : existence / E. Bonetti. - In: QUARTERLY OF APPLIED MATHEMATICS. - ISSN 0033-569X. - 62:1(2004), pp. 53-76. [10.1090/qam/2032572]
Global solvability of a dissipative frémond model for shape memory alloys. Part II : existence
E. Bonetti
2004
Abstract
The paper investigates an initial and boundary values problem which is derived from a dissipative Frémond model for shape memory alloys. Existence of a global solution for the abstract version of the evolution problem is proved by use of a semi-implicit time discretization scheme combined with an a priori estimates-passage to the limit procedure.
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