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math.AP2024
Optimal Boundary Control for the Stochastic Allen-Cahn Navier-Stokes system in two dimensions
R. D. Ayissi, G. Deugoue, J. Ngandjou Zangue +1
In this work, we study an optimal boundary control for the stochastic Allen Cahn Navier Stokes system. The governing system of nonlinear partial differential equations consists of…
math.AP2024★ 4 cited
Derivation and analysis of a nonlocal Hele-Shaw-Cahn-Hilliard system for flow in thin heterogeneous layers
Giuseppe Cardone, Willi Jäger, Jean Louis Woukeng
We derive, through the deterministic homogenization theory in thin domains, a new model consisting of Hele-Shaw equation with memory coupled with the convective Cahn-Hilliard equat…