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

Proceedings of the Royal Society of Edinburgh: Section A. 2023. P. 1–42.
Stone D., Zelik S.

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

Research target: Mathematics
Language: English
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Keywords: regularity of solutionsNavier–Stokes equationsBrinkman–Forchheimer equationnon-autonomous attractors
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