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arxiv: 1512.05889 · v1 · pith:JCOEM46Onew · submitted 2015-12-18 · 🧮 math.AP

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

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keywords bardinaglobalmodelsimplifiedstrip-liketurbulenceanisotropicclass
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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.

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