Asymptotic behaviour of a phase-field model with three coupled equations without uniqueness
The authors study a nonlinear parabolic system of three partial differential equations with independent variables: phase-field (the state variable characterizing the different phases), the temperature, and the concentration indicating the fraction of one of the two materials in the mixture. The existence of weak solutions for the system is proved. By applying the method of multivalued dynamical systems, the existence of families of global attractors (level-set depending) in several phase-spaces is established and the relations between them are investigated.
scientific article; zbMATH DE number 5563800
scientific article