Results for a turbulent system with unbounded viscosities: weak formulations, existence of solutions, boundedness, smoothness'

Details Results for a turbulent system with unbounded viscosities: weak formulations, existence of solutions, boundedness, smoothness' Results for a turbulent system with unbounded viscosities: weak formulations, existence of solutions, boundedness, smoothness'

2007-04-20

arxiv.org/abs/0704.2775v1

Nonlinear Analysis: Theory, Methods, and Applications (2007) online publication: 10 January 2007

Mathematics

Analysis of PDEs

Scientific paper

10.1016/j.na.2006.12.040

We consider a circulation system arising in turbulence modelling in fluid
dynamics with unbounded eddy viscosities. Various notions of weak solutions are
considered and compared. We establish existence and regularity results. In
particular we study the boundedness of weak solutions. We also establish an
existence result for a classical solution

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