K. Zaya

most citedLower Bounds of Potential Blow-Up Solutions of the Three-dimensional Navier-Stokes Equations in

H ˙^{\frac{3}{2}}

5 citations · 5 across the 2 of their papers we have counts for

collaborators

3 papers

math.AP2015

Regularity Criterion for the Three-dimensional Boussinesq Equations

Karen Zaya

We prove that a solution to the three-dimensional Boussinesq equations does not blow-up at time T if $∥ u_{\leq Q} ∥_{B_{\infty, \infty}^{1}}$ is integrable on $(0, T)$ , where $u_{\l…

math.AP2015★ 5 cited

Lower Bounds of Potential Blow-Up Solutions of the Three-dimensional Navier-Stokes Equations in $H ˙^{\frac{3}{2}}$

Alexey Cheskidov, Karen Zaya

We improve previous known lower bounds for Sobolev norms of potential blow-up solutions to the three-dimensional Navier-Stokes equations in $H ˙^{\frac{3}{2}}$ . We also present a…

math.AP2013

Regularizing Effect of the Forward Energy Cascade in the Inviscid Dyadic Model

Alexey Cheskidov, Karen Zaya

We study the inviscid dyadic model of the Euler equations and prove some regularizing properties of the nonlinear term that occur due to forward energy cascade. We show every solut…

Regularity Criterion for the Three-dimensional Boussinesq Equations

Lower Bounds of Potential Blow-Up Solutions of the Three-dimensional Navier-Stokes Equations in H˙23​

Regularizing Effect of the Forward Energy Cascade in the Inviscid Dyadic Model

Lower Bounds of Potential Blow-Up Solutions of the Three-dimensional Navier-Stokes Equations in $H ˙^{\frac{3}{2}}$