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

Luca Bisconti; Davide Catania

doi:10.3934/cpaa.2017090

Article Contents

2017, Volume 16, Issue 5: 1861-1881. Doi: 10.3934/cpaa.2017090

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

Luca Bisconti^1, and
Davide Catania^2,

1.
Universitá degli Studi di Firenze, Dipartimento di Matematica e Informatica "U. Dini", Via S. Marta 3, I-50139 Firenze, Italia
2.
SMARTest-Universitá eCampus and Universitá degli Studi di Brescia, Sezione Matematica (DICATAM), Via Valotti 9, I-25133 Brescia, Italia

Received: November 30, 2016

Revised: December 31, 2016

Published: October 2017

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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.

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Mathematics Subject Classification: Primary: 76D05, 35B65; Secondary: 35Q30, 76F65, 76D03.

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References

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