http://www.cnr.it/ontology/cnr/individuo/prodotto/ID293786
Continuous dependence for a nonstandard Cahn-Hilliard system with nonlinear atom mobility (Contributo in atti di convegno)
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- Continuous dependence for a nonstandard Cahn-Hilliard system with nonlinear atom mobility (Contributo in atti di convegno) (literal)
- Anno
- 2012-01-01T00:00:00+01:00 (literal)
- Alternative label
Colli P.; Gilardi G.; Podio-Guidugli P.; Sprekels J. (2012)
Continuous dependence for a nonstandard Cahn-Hilliard system with nonlinear atom mobility
in Forty years of Analysis in Turin A conference in honour of Angelo Negro, Torino, giugno 2013
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- Colli P.; Gilardi G.; Podio-Guidugli P.; Sprekels J. (literal)
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- http://www.seminariomatematico.unito.it/rendiconti/70-1.html (literal)
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- Proceedings of the conference Forty years of Analysis in Turin, in honour of Angelo Negro (literal)
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- Dipartimento di Matematica F. Casorati, Università di Pavia, Via Ferrata 1, 27100 Pavia, Italy; Dipartimento di Ingegneria Civile e Ingegneria Informatica, Università di Roma Tor Vergata, via del Politecnico 1, 00133 Rome, Italy;
WIAS - Weierstraß-Institut für Angewandte Analysis und Stochastik, Mohrenstraße 39, 10117 Berlin, Germany (literal)
- Titolo
- Continuous dependence for a nonstandard Cahn-Hilliard system with nonlinear atom mobility (literal)
- Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#curatoriVolume
- M. Badiale, P. Caldiroli, A. Capietto, E. Priola (literal)
- Abstract
- This note is concerned with 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. The system arises from a model of two-species phase segregation on an atomic lattice [22]; it consists of the balance equations of microforces and microenergy; the two unknowns are the order parameter p and the chemical potential /mu. Some recent results obtained for this class of problems are reviewed and, in the case of a nonconstant and nonlinear atom mobility, uniqueness and continuous dependence on the initial data are shown with the help of a new line of argumentation developed in [13]. (literal)
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