Starts 19 Apr 2017 14:00
Ends 19 Apr 2017 15:00
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On the Caginalp phase-field system based on the Cattaneo law with nonlinear coupling
ICTP
Leonardo Building - Luigi Stasi Seminar Room
Abstract:
Caginalp phase- field model describes the behaviour of certains materials in their stages of melting and solidi cation. In this talk, we will start by motivating the use of Cattaneo's law and give a rigourous derivation of our model. We then address mathematical problems of existence and uniqueness, dissipativity and spatial behaviour in a semi-infi nite cylinder. We fi nally give the convergence for an iterative scheme of fractional steps type associated to the phase-fi eld transition system as an illustration regarding numerical approach.
Caginalp phase- field model describes the behaviour of certains materials in their stages of melting and solidi cation. In this talk, we will start by motivating the use of Cattaneo's law and give a rigourous derivation of our model. We then address mathematical problems of existence and uniqueness, dissipativity and spatial behaviour in a semi-infi nite cylinder. We fi nally give the convergence for an iterative scheme of fractional steps type associated to the phase-fi eld transition system as an illustration regarding numerical approach.