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Showing 2024 · math.APShow all
3 papers · 2 filters
math.AP2024
Global Weak Solutions to a Navier-Stokes-Cahn-Hilliard System with Chemotaxis and Mass Transport: Cross Diffusion versus Logistic Degradation
Andrea Giorgini, Jingning He, Hao Wu
We analyze a diffuse interface model that describes the dynamics of incompressible two-phase flows influenced by interactions with a soluble chemical substance, encompassing the ch…
math.AP2024★ 1 cited
Complex pattern formation governed by a Cahn-Hilliard-Swift-Hohenberg system: Analysis and numerical simulations
Harald Garcke, Kei Fong Lam, Robert Nürnberg +1
This paper investigates a Cahn-Hilliard-Swift-Hohenberg system, focusing on a three-species chemical mixture subject to physical constraints on volume fractions. The resulting syst…
math.AP2024
Long-time behavior of an anisotropic rigid body interacting with a Poiseuille flow in an unbounded 2D channel
Denis Bonheure, Matthieu Hillairet, Clara Patriarca +1
We study the long-time behavior of an elliptic rigid body which is allowed to vertically translate and rotate in a 2D unbounded channel under the action of a Poiseuille flow at lar…