ASYMPTOTIC BEHAVIOR OF THE CONSERVED CAGINALP PHASE-FIELD SYSTEM BASED ON THE MAXWELL-CATTANEO LAW

作者：Miranville Alain^*

来源：Communications on Pure and Applied Analysis, 2014, 13(5): 1971-1987.

DOI：10.3934/cpaa.2014.13.1971

• Conserved Caginalp phase-field system
• Maxwell-Cattaneo law
• enthalpy
• well-posedness
• dissipativity
• global attractor
• exponential attractor

Our aim in this paper is to study the well-posedness and the asymptotic behavior, in terms of finite-dimensional attractors, for the conserved Caginalp phase-field system based on the Maxwell-Cattaneo law, instead of the usual Fourier law, for heat conduction. The system consists of the equation for the order parameter and that for the enthalpy, instead of the relative temperature or the thermal displacement variable.

• 出版日期2014-9