Global existence and uniqueness for a nonlinear Boussinesq system in dimension two

DOI10.1063/1.3485038zbMath1309.76091arXiv1203.5045OpenAlexW2593472977MaRDI QIDQ5245800

Samira Sulaiman

Publication date: 15 April 2015

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1203.5045

Mathematics Subject Classification ID

Sensitivity, stability, well-posedness (49K40) PDEs in connection with fluid mechanics (35Q35) Diffusion (76R50) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Parallel shear flows in hydrodynamic stability (76E05) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Related Items (2)

Global well-posedness for the two-dimensional nonlinear Boussinesq equations with vertical dissipation ⋮ The vortex patch issue for the generalized Boussinesq system

Cites Work

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• On the global well-posedness of the two-dimensional Boussinesq system with a zero diffusivity
• On the global well-posedness of the Euler-Boussinesq system with fractional dissipation
• 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
• Global solutions of the super-critical 2D quasi-geostrophic equation in Besov spaces
• A new Bernstein's inequality and the 2D dissipative quasi-geostrophic equation
• Navier-Stokes equation with variable density and viscosity in critical space
• Global regularity for the 2D Boussinesq equations with partial viscosity terms
• The maximum principle and the global attractor for the dissipative 2D quasi-geostrophic equations
• Hölder regularity of the viscous vortex patches. (Régularité höldérienne des poches de tourbillon visqueuses).
• LOCAL THEORY IN CRITICAL SPACES FOR COMPRESSIBLE VISCOUS AND HEAT-CONDUCTIVE GASES
• Global Well-Posedness for Euler–Boussinesq System with Critical Dissipation
• On the global well-posedness of the Boussinesq system with zero viscosity
• Calcul symbolique et propagation des singularités pour les équations aux dérivées partielles non linéaires
• On the boundedness of the mapping f ↦ |f|^μ, μ > 1 on Besov spaces

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