Article citationsMore>>

Miranville, A. and Zelik, S. (2008) Attractors for Dissipative Partial Differential Equations in Bounded and Unbounded Domains. In: Handbook of Differential Equations: Evolutionary Equations, Elsevier, 103-200.
https://doi.org/10.1016/s1874-5717(08)00003-0

has been cited by the following article:

• TITLE: A Conserved Phase-Field Model Based on Microconcentrations

  AUTHORS: Armel Judice Ntsokongo, Narcisse Batangouna, Christian Tathy

  KEYWORDS: Conserved Phase-Field Model, Microconcentrations, Neumann Boundary Conditions, Well-Posedness, Passage to the Limit, Global Attractor, Numerical Simulations

  JOURNAL NAME: Applied Mathematics, Vol.16 No.3, March 28, 2025

  ABSTRACT: In this article, we consider the conserved phase-field model based on microconcentrations. In particular, we prove the well-posedness to this model and then prove the convergence of the solutions to those of the classical conserved phase-field model as a small parameter goes to zero, on finite time intervals. We also prove the existence of global attractor and we finally give some numerical simulations.