Attractors for the Navier-Stokes-Cahn-Hilliard System with Chemotaxis and Singular Potential in 2D

Autor:	He, Jingning
Rok vydání:	2023
Předmět:	Mathematics - Analysis of PDEs 35A01 35A02 35K35 35Q92 76D05
Druh dokumentu:	Working Paper
Popis:	We analyze the long-time behavior of solutions to a Navier-Stokes-Cahn--Hilliard-Oono system with chemotaxis effects and physically relevant singular potential. This model also includes some significant mechanisms such as active transport and chemotaxis effects. The system couples the Navier-Stokes equations for the fluid velocity, a convective Cahn-Hilliard equation for the phase-field variable and a diffusion equation for the nutrient density. For the initial boundary value problem in a smooth bounded domain $\Omega\subset \mathbb{R}^2$, we prove the the existence of the global attractor in a suitable phase space. Furthermore, we obtain the existence of an exponential attractor, and it can be implied that the global attractor is of finite fractal dimension. Comment: arXiv admin note: text overlap with arXiv:2104.01010
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2301.06258 Zobrazit plný text záznamu View this record from Arxiv