The non-autonomous Navier-Stokes-Brinkman-Forchheimer equation with Dirichlet boundary conditions: dissipativity, regularity, and attractors

2022/10/11 by Dominic Stone, Stone, Dominic, Sergey Zelik +1
Computer Science · Engineering · Mathematics · #35B40 #35B42 #37D10 #37L25 #Advanced Mathematical Modeling in Engineering #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #FOS: Mathematics #Stability and Controllability of Differential Equations

paper · pdf · doi:10.48550/arxiv.2210.05580

openalex publication_date 2022/10/11 · openalex created_date 2022/10/14 · openalex updated_date 2026/07/28

Abstract

We give a comprehensive study of the 3D Navier-Stokes-Brinkman-Forchheimer equations in a bounded domain endowed with the Dirichlet boundary conditions and non-autonomous external forces. This study includes the questions related with the regularity of weak solutions, their dissipativity in higher energy spaces and the existence of the corresponding uniform attractors

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