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

2017 ◽  
Vol 16 (5) ◽  
pp. 1861-1881 ◽  
Author(s):  
Luca Bisconti ◽  
◽  
Davide Catania ◽  
Keyword(s):  
Turbulence Model ◽  
Well Posedness ◽  
Two Dimensional ◽  
Simplified Bardina

scholarly journals Exponential Attractors for the 3D Fractional-order Bardina Turbulence Model With Memory and Horizontal Filtering

2021 ◽  
Author(s):  
Michele Annese ◽  
Luca Bisconti ◽  
Davide Catania
Keyword(s):  
Phase Space ◽  
Fractional Order ◽  
Turbulence Model ◽  
Memory Term ◽  
Exponential Attractor ◽  
Exponential Attractors ◽  
Regularity Properties ◽  
Hereditary Effects ◽  
With Memory ◽  
Simplified Bardina

AbstractWe consider the 3D simplified Bardina turbulence model with horizontal filtering, fractional dissipation, and the presence of a memory term incorporating hereditary effects. We analyze the regularity properties and the dissipative nature of the considered system and, in our main result, we show the existence of a global exponential attractor in a suitable phase space.

A zero-equation turbulence model for two-dimensional hybrid Hall thruster simulations

2015 ◽  
Vol 22 (11) ◽  
pp. 114505 ◽  
Author(s):  
Mark A. Cappelli ◽  
Christopher V. Young ◽  
Eunsun Cha ◽  
Eduardo Fernandez
Keyword(s):  
Turbulence Model ◽  
Hall Thruster ◽  
Two Dimensional

Stability of Navier–Stokes Equations

2006 ◽  
Author(s):  
Jean-Yves Chemin ◽  
Benoit Desjardins ◽  
Isabelle Gallagher ◽  
Emmanuel Grenier
Keyword(s):  
Stokes System ◽  
Stokes Equations ◽  
Time Dependent ◽  
Navier Stokes ◽  
Well Posedness ◽  
Two Dimensional ◽  
Navier Stokes Equations ◽  
The Stability ◽  
Three Space

In this chapter we intend to investigate the stability of the Leray solutions constructed in the previous chapter. It is useful to start by analyzing the linearized version of the Navier–Stokes equations, so the first section of the chapter is devoted to the proof of the well-posedness of the time-dependent Stokes system. The study will be applied in Section 3.2 to the two-dimensional Navier–Stokes equations, and the more delicate case of three space dimensions will be dealt with in Sections 3.3–3.5.

Sign in / Sign up

Export Citation Format

Share Document