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- The 2D Incompressible Boussinesq Equations
This section explains how the primitive equations, the 2D incompressible Boussinesq equations and the surface quasi-geostrophic (SQG) equation can be formally derived from the 3D rotating
- The 2D incompressible Boussinesq equations with general critical . . .
This paper aims at the global regularity problem concerning the 2D incompressible Boussinesq equations with general critical dissipation The critical dissipation refers to α + β = 1 when Λα ≡ (−Δ)α 2 and Λβ represent the fractional Laplacian dissipation in the velocity and the temperature equations, respectively
- The 2D Incompressible Boussinesq Equations - Paperzz. com
The part for the anisotropic Boussinesq equations will include the following seven cases: 1) ν1 = ν2 = κ1 = κ2 = 0 (inviscid Boussinesq); 2) ν1 > 0, ν2 > 0, κ1 > 0 and κ2 > 0 (dissipation and thermal diffusion);
- The Two-Dimensional Incompressible Boussinesq Equations with General . . .
The two-dimensional incompressible Boussinesq equations with partial or fractional dissipation have recently attracted considerable attention and the global regularity issue has been extensively investigated
- (PDF) The Two-Dimensional Incompressible Boussinesq Equations with . . .
This paper aims at the global regularity problem concerning the 2D incompressible Boussinesq equations with general critical dissipation
- The 2D regularized incompressible Boussinesq equations with general . . .
Considering the 2D regularized Boussinesq equations with fractional dissipations (Λ α u, Λ β θ) and convection terms (Λ − γ u ⋅ ∇ u, Λ − γ u ⋅ ∇ θ), where Λ = − Δ and γ ≥ 0, we prove the global existence and uniqueness of the solution in two critical cases
- The 2D Incompressible Boussinesq Equations
This section explains how the primitive equations, the 2D incompressible Boussinesq equations and the surface quasi-geostrophic (SQG) equation can be formally derived from the 3D rotating
- Eventual Regularity of the Two-Dimensional Boussinesq Equations with . . .
When 2 and 2, (1 1) becomes the 2D Boussinesq equations with α = β = standard dissipation The standard 2D Boussinesq equations and their fractional Laplacian gen-eralizations have attracted considerable attention recently due to their physical appli-cations and mathematical significance
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