Global well-posedness of the two-dimensional horizontally filtered simplified Bardina turbulence model on a strip-like region

TL;DR

This paper proves the global existence and uniqueness of solutions for a 2D turbulence model with horizontal filtering in an unbounded strip domain, advancing understanding of turbulence modeling in complex geometries.

Contribution

It establishes the global well-posedness of the simplified Bardina turbulence model in an unbounded domain with horizontal filtering, using anisotropic weighted Sobolev spaces.

Findings

Global existence of weak solutions proven

Uniqueness of solutions established

Solutions exist in anisotropic weighted Sobolev spaces

Abstract

We consider the 2D simplified Bardina turbulence model, with horizontal filtering, in an unbounded strip-like domain. We prove global existence and uniqueness of weak solutions in a suitable class of anisotropic weighted Sobolev spaces.