Work

Attractors for a Caginalp Phase-field Model Type on the Whole Space R3

Year: 2012

Type: article

Abstract: We consider in this paper a generalization of Caginalp phase-field system derived from a generalization of the Maxwell-Cattaneo law in an unbounded domain namely R3 in our case; which make the analysis challenging. We prove the well-posedness of the problem and the dissipativity of the associated semigroup. Finally, we study the long time behavior of solutions in terms of attractors.

Source: Journal of Applied Analysis & Computation

DOI: 10.11948/2012018

Author: Brice Doumbé Bangola

Language: English

Topic: Stability and Controllability of Differential Equations

Subfield: Control and Systems Engineering

Field: Engineering

Domain: Physical Sciences

Open Access status: hybrid

OpenAlex ID: W4251892474

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Cites: 21

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Related to: 9