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Thiele, U. and Knobloch, E. (2004) Thin Liquid Films on a Slightly Inclined Heated Plate. Physics D, 190, 213-248.
https://doi.org/10.1016/j.physd.2003.09.048

has been cited by the following article:

• TITLE: A Conserved Phase-Field Model with Dirichlet Boundary Condition and Regular Potentials

  AUTHORS: Narcisse Batangouna

  KEYWORDS: A Conserved Phase-Field Model Phase-Field, Regular Potential, Dirichlet Boundary Conditions

  JOURNAL NAME: Applied Mathematics, Vol.17 No.3, March 3, 2026

  ABSTRACT: Phase field models are a fundamental tool in describing phase transition phenomena. In this context, our study focuses on a conserved phase field model, subject to Dirichlet boundary conditions and incorporating regular potentials. The main objective of this article is to rigorously establish the existence and uniqueness of solutions for the model under consideration. The Dirichlet boundary conditions impose constraints on the behavior of the phase field at the boundary of the domain.