On the global well-posedness for Boussinesq system

By Hammadi Abidi, Taoufik Hmidi. 2007

210 citations recorded by the source corpus.

Subfields: Applied Mathematics, Control and Systems Engineering, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/c0d1938853b78180583dae8f8b0168599bf3858c

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Applied Mathematics

1. Taoufik Hmidi
2. Changxing Miao
3. Marius Paicu
4. Sahbi Keraani
5. Raphaël Danchin
6. Xiaoxin Zheng
7. Ping Zhang
8. Jiahong Wu

In Control and Systems Engineering

1. Changxing Miao
2. Marius Paicu
3. Taoufik Hmidi
4. Raphaël Danchin
5. Sahbi Keraani
6. Xiaoxin Zheng
7. Monica Visan
8. Rowan Killip

In Mathematical Physics

1. Taoufik Hmidi
2. Changxing Miao
3. Marius Paicu
4. Sahbi Keraani
5. Raphaël Danchin
6. Xiaoxin Zheng
7. Ping Zhang
8. Jiahong Wu

Citations in the corpus

• Global regularity results for the 2D Boussinesq equations with vertical dissipation (2011, unknown): “Other interesting recent results on the 2D Boussinesq equations can be found in [1,9,10,12,13, 17,20,22].”
• On the global well-posedness of the Boussinesq system with zero viscosity (2007, methodology): “References [1] H. Abidi, T. Hmidi, On the global well-posedness for Boussinesq system, J. Diff.”
• Global regularity for the 2D anisotropic Boussinesq Equations with vertical dissipation (2011, unknown): “Other interesting recent results on the 2D Boussinesq equations can be found in [1, 2, 3, 11, 12, 15, 16, 24].”
• Large time decay and growth for solutions of a viscous Boussinesq system (2010, unknown): “[1], [11], [17], [18], [34].”
• Les theoremes de Leray et de Fujita-Kato pour le systeme de Boussinesq partiellement visqueux. The Leray and Fujita-Kato theorems for the Boussinesq system with partial viscosity (2008, background): “Hmidi ont établi dans [1] l’existence globale et unicité sans condition de petitesse pour des données initiales (θ0, u0) appartenant à un très gros sous-espace de (L(2)(R(2)))(3).”
• GLOBAL EXISTENCE RESULTS FOR THE ANISOTROPIC BOUSSINESQ SYSTEM IN DIMENSION TWO (2008, background): “Under various regularity assumptions on the initial data, it has been shown that for arbitrarily large initial data, systems (Bκ,0) with κ > 0 and (B0,ν) with ν > 0 admit a global unique solution (see for example [1, 7, 13, 14, 15, 19, 20]).”
• On the Global Well-posedness for the Boussinesq System with Horizontal Dissipation (2012, background): “It is also shown the global well-posedness in the critical spaces, see [1].”