http://www.cnr.it/ontology/cnr/individuo/prodotto/ID293828
Global existence for a strongly coupled Cahn-Hilliard system with viscosity (Articolo in rivista)
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- Global existence for a strongly coupled Cahn-Hilliard system with viscosity (Articolo in rivista) (literal)
- Anno
- 2012-01-01T00:00:00+01:00 (literal)
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- Pierluigi Colli; Gianni Gilardi; Paolo Podio-Guidugli;Jürgen Sprekels (literal)
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- Dipartimento di Matematica \"F. Casorati\", Università di Pavia, via Ferrata 1, 27100 Pavia, Italy;
Dipartimento di Ingegneria Civile, Università di Roma \"Tor Vergata\", via del Politecnico 1, 00133 Roma, Italy; Weierstraß-Institut fúr Angewandte Analysis und Stochastik, Mohrenstraße 39, 10117 Berlin, Germany (literal)
- Titolo
- Global existence for a strongly coupled Cahn-Hilliard system with viscosity (literal)
- Abstract
- An existence result is proved for a nonlinear diffusion problem of phase-field type, consisting of a parabolic system of two partial differential equations, complemented by Neumann homogeneous boundary conditions and initial conditions. This system is meant to model two-species phase segregation on an atomic lattice under the presence of diffusion. A similar system has been recently introduced and analyzed in the paper arXiv:1103.4585 . Both systems conform to the general theory developed in [P. Podio-Guidugli, Models of phase segregation and diffusion of atomic species on a lattice, Ric. Mat. 55 (2006) 105-118]: two parabolic PDEs, interpreted as balances of microforces and microenergy, are to be solved for the order parameter and the chemical potential. In the system studied in this note, a phase-field equation fairly more general than in arXiv:1103.4585 is coupled with a highly nonlinear diffusion equation for the chemical potential, in which the conductivity coefficient is allowed to depend nonlinearly on both variables. (literal)
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