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Regularity of Holder continuous solutions of the supercritical quasi-geostrophic equation
the 2D quasi-geostrophic equation supercritical dissipation regularity weak solutions
2014/4/4
We present a regularity result for weak solutions of the 2D quasi-geostrophic equation with supercritical (α < 1/2) dissipation (−∆)α: If a Leray-Hopf weak solution is H¨older continuous θ...
On the critical dissipative quasi-geostrophic equation
the critical dissipative quasi-geostrophic equation
2014/4/4
The 2D quasi-geostrophic (QG) equation is a two dimensional model of the 3D incompressible Euler equations. When dissipation is included in the model then solutions always exist if the dissipation's w...
GLOBAL REGULARITY FOR A MODIFIED CRITICAL DISSIPATIVE QUASI-GEOSTROPHIC EQUATION
GLOBAL REGULARITY A MODIFIED CRITICAL DISSIPATIVE QUASI-GEOSTROPHIC EQUATION
2014/4/3
with κ > 0, α ∈ (0,1] and θ0 ∈ L2(R2). We remark that the extra Λα−1 is introduced in order to make the scaling invariance of this system similar to the scaling invariance of the critical quasi-...