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math.AP2026
Well-posedness and a sign-graph limit for an active Cahn--Hilliard equation on Riemannian manifolds
Darko Mitrovic, Andrej Novak, Ajla Sukurica
We establish a weak solution theory and a singular constitutive limit for a non variational Cahn Hilliard evolution on compact Riemannian manifolds, possibly with boundary. The mod…
math.AP2026
A Temperature-Coupled Cahn-Hilliard-Stokes-Heat Model for Thermally Driven Phase Separation
Maria Deliyianni, Boris Muha, Andrej Novak
We study a diffuse-interface model for thermally driven phase separation in viscous incompressible mixtures. The system couples a convective Cahn-Hilliard equation for the order pa…
math.AP2023
Navigating the Complex Landscape of Shock Filter Cahn-Hilliard Equation: From Regularized to Entropy Solutions
Darko Mitrovic, Andrej Novak
Image inpainting involves filling in damaged or missing regions of an image by utilizing information from the surrounding areas. In this paper, we investigate a highly nonlinear pa…