Global Well-Posedness for Euler–Boussinesq System with Critical Dissipation
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Publication:3086352
DOI10.1080/03605302.2010.518657zbMath1284.76089OpenAlexW2964140392MaRDI QIDQ3086352
Frédéric Rousset, Sahbi Keraani, Taoufik Hmidi
Publication date: 30 March 2011
Published in: Communications in Partial Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/03605302.2010.518657
PDEs in connection with fluid mechanics (35Q35) Navier-Stokes equations for incompressible viscous fluids (76D05) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03)
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Cites Work
- Unnamed Item
- Global well-posedness for a Boussinesq-Navier-Stokes system with critical dissipation
- Global well-posedness for the critical 2D dissipative quasi-geostrophic equation
- Incompressible viscous flows in borderline Besov spaces
- Optimal transport, convection, magnetic relaxation and generalized Boussinesq equations
- Global well-posedness issues for the inviscid Boussinesq system with Yudovich's type data
- Remarks on the breakdown of smooth solutions for the 3-D Euler equations
- Hydrodynamics in Besov spaces
- A maximum principle applied to quasi-geostrophic equations
- A new Bernstein's inequality and the 2D dissipative quasi-geostrophic equation
- Global regularity for the 2D Boussinesq equations with partial viscosity terms
- Non-planar fronts in Boussinesq reactive flows
- On the global well-posedness of the Boussinesq system with zero viscosity
- On the Global Well-Posedness of the Critical Quasi-Geostrophic Equation
- Formation of strong fronts in the 2-D quasigeostrophic thermal active scalar
- Behavior of Solutions of 2D Quasi-Geostrophic Equations
- Small-scale structures in Boussinesq convection
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