http://www.cnr.it/ontology/cnr/individuo/prodotto/ID293854
Global existence of weak solutions to a nonlocal Cahn-Hilliard-Navier-Stokes system (Articolo in rivista)
- Type
- Label
- Global existence of weak solutions to a nonlocal Cahn-Hilliard-Navier-Stokes system (Articolo in rivista) (literal)
- Anno
- 2012-01-01T00:00:00+01:00 (literal)
- Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#doi
- 10.1016/j.jmaa.2011.08.008 (literal)
- Alternative label
- Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#autori
- Pierluigi Colli; Sergio Frigeri; Maurizio Grasselli (literal)
- Pagina inizio
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- http://www.sciencedirect.com/science/article/pii/S0022247X1100744X# (literal)
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- Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#numeroFascicolo
- Note
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- Dipartimento di Matematica F. Casorati, Università degli Studi di Pavia, Pavia I-27100, Italy; Dipartimento di Matematica F. Enriques, Università degli Studi di Milano, Milano I-20133, Italy; Dipartimento di Matematica F. Brioschi, Politecnico di Milano, Milano I-20133, Italy (literal)
- Titolo
- Global existence of weak solutions to a nonlocal Cahn-Hilliard-Navier-Stokes system (literal)
- Abstract
- A well-known diffuse interface model consists of the Navier-Stokes equations nonlinearly coupled with a convective Cahn-Hilliard type equation. This system describes the evolution of an incompressible isothermal mixture of binary fluids and it has been investigated by many authors. Here we consider a variant of this model where the standard Cahn-Hilliard equation is replaced by its nonlocal version. More precisely, the gradient term in the free energy functional is replaced by a spatial convolution operator acting on the order parameter ?, while the potential F may have any polynomial growth. Therefore the coupling with the Navier-Stokes equations is difficult to handle even in two spatial dimensions because of the lack of regularity of ?. We establish the global existence of a weak solution. In the two-dimensional case we also prove that such a solution satisfies the energy identity and a dissipative estimate, provided that F fulfills a suitable coercivity condition. (literal)
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