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CONVERGENCE TO EQUILIBRIUM FOR A PARABOLIC–HYPERBOLIC PHASE-FIELD SYSTEM WITH NEUMANN BOUNDARY CONDITIONS.
- Source :
-
Mathematical Models & Methods in Applied Sciences . Jan2007, Vol. 17 Issue 1, p125-153. 29p. - Publication Year :
- 2007
-
Abstract
- This paper is concerned with the asymptotic behavior of global solutions to a parabolic–hyperbolic coupled system which describes the evolution of the relative temperature θ and the order parameter χ in a material subject to phase transitions. For the system with homogeneous Neumann boundary conditions for both ¸ and χ, under the assumption that the nonlinearities λ and ϕ are real analytic functions, we prove the convergence of a global solution to an equilibrium as time goes to infinity by means of a suitable Łojasiewicz–Simon type inequality. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 02182025
- Volume :
- 17
- Issue :
- 1
- Database :
- Academic Search Index
- Journal :
- Mathematical Models & Methods in Applied Sciences
- Publication Type :
- Academic Journal
- Accession number :
- 24099039
- Full Text :
- https://doi.org/10.1142/S0218202507001851