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2 results on '"Davide Catania"'

1. A note on the Euler–Voigt system in a 3D bounded domain: Propagation of singularities and absence of the boundary layer

Author

Luigi C. Berselli and Davide Catania

Subjects
model, Euler equations, smooth solutions, boundary layers, turbulence, Mathematics, QA1-939
Abstract

We consider the Euler–Voigt equations in a smooth bounded domain as an approximation for the 3D Euler equations. We show that the solutions of the Voigt equations are global, do not smooth out the data, and converge to the solutions of the Euler equations. For these reasons they represent a good model, also for computations of turbulent flows.

Published
2019
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2. A note on the Euler–Voigt system in a 3D bounded domain: Propagation of singularities and absence of the boundary layer

Author

Luigi C. Berselli and Davide Catania

Subjects
Physics, model, smooth solutions, Turbulence, lcsh:Mathematics, General Mathematics, Computation, Euler-Voigt model, turbulence, Physics::Medical Physics, Mathematical analysis, Euler-Voigt model, Euler equations, smooth solutions, boundary layers, turbulence, Euler equations, boundary layers, lcsh:QA1-939, Domain (mathematical analysis), Physics::Geophysics, Boundary layer, symbols.namesake, Bounded function, Euler's formula, symbols, Gravitational singularity
Abstract

We consider the Euler–Voigt equations in a smooth bounded domain as an approximation for the 3D Euler equations. We show that the solutions of the Voigt equations are global, do not smooth out the data, and converge to the solutions of the Euler equations. For these reasons they represent a good model, also for computations of turbulent flows.

Published
2018
Full Text
View/download PDF

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