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NOTE ON GLOBAL REGULARITY FOR 2D OLDROYD-B FLUIDS WITH DIFFUSIVE STRESS
Oldroyd-B, complex uids Fokker-Planck equations blow up global existence Euler equations Navier-Stokes equations kinetic equations
2014/4/3
We prove global regularity of solutions of Oldroyd-B equations in 2 spatial dimensions with spatial di usion of the polymeric stresses.
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-...
Conditional global regularity of Schroedinger maps: sub-threshold dispersed energy
Conditional global regularity Schroedinger maps sub-threshold dispersed energy
2011/2/22
We consider the Schr¨odinger map initial value problem ( ∂tϕ = ϕ × ϕ ϕ(x, 0) = ϕ0(x),
with ϕ0 : R2 ! S2 ֒! R3 a smooth H1 Q map from the Euclidean space R2 ...
Global regularity of solutions of coupled Navier-Stokes equations and nonlinear Fokker Planck equations
Navier-Stokes equations nonlinear Fokker-Planck equations global existence.
2014/4/3
We provide a proof of global regularity of solutions of coupled Navier-Stokes equations and Fokker-Planck equations, in two spatial dimensions, in the absence of boundaries. The proof yields a priori ...
On the Global Regularity of Wave Maps in the Critical Sobolev Norm
Wave Maps Critical Sobolev Norm
2014/4/3
This paper, in collaboration with I. Rodnianski, is an extension of the recent higher dimensional critical regularity result of T. Tao to general bounded parallelizable Riemannian target manifolds.