| Abstract: |
| We will prove that the solution semigroup generated by the singularly perturbed conserved phase-field system admits an inertial manifold of dimension independent of the perturbation parameter (the heat capacity). Moreover, we will show the convergence of the intersection of the inertial manifold with an absorbing set as the heat capacity tends to zero. This work was recently proven by the speaker in [Evol. Equ. and Control Theory, 11 no.4 (2022),1399-1454]. |
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