A nonstandard PDE system of viscous Cahn-Hilliard type related to a model for phase segregation
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About this item
| Description: |
Colli, P (Università degli Studi di Pavia)
Wednesday 02 April 2014, 14:00-15:00 |
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| Created: | 2014-04-10 09:55 |
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| Collection: | Free Boundary Problems and Related Topics |
| Publisher: | Isaac Newton Institute |
| Copyright: | Colli, P |
| Language: | eng (English) |
| Distribution: |
World
(downloadable)
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| Explicit content: | No |
| Aspect Ratio: | 16:9 |
| Screencast: | No |
| Bumper: | UCS Default |
| Trailer: | UCS Default |
| Abstract: | The talk deals with a diffusion model of phase-field type, leading to a parabolic system of two partial differential equations, interpreted as balances of microforces and microenergy, for two unknowns: the problem's order parameter and the chemical potential; each equation includes a viscosity term; Neumann homogeneous boundary conditions and initial conditions complement the field equations. The analysis of this system has been made the subject of a joint research program with G. Gilardi, P. Podio-Guidugli and J. Sprekels. The related model aims at describing two-species phase segregation on an atomic lattice under the presence of diffusion: the initial and boundary value problem will be considered and the existence-uniqueness of a global-in-time solution will be discussed along with other related results. |
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