102 citations · 340 across the 24 of their papers we have counts for
25 papers
On the non-uniqueness of solutions of the axi-symmetric swirl-free Navier-Stokes equations, I
Alexandru D. Ionescu, Hao Jia, Stan Palasek
In this paper we construct numerically a new class of unstable self-similar solutions of the incompressible Navier-Stokes equations in . Our solutions are axially sym…
Asymptotic stability of the Kolmogorov flow at high Reynolds numbers
Qi Chen, Hao Jia, Dongyi Wei +1
In this paper we prove the asymptotic stability of the Kolmogorov flow on a non-square torus for perturbations satisfying , where is the vi…
Remarks on the rate of linear vortex symmetrization
Hao Jia
We reformulate results from the paper ``Linear vortex symmetrization: The spectral density function" by Ionescu and the author in simplified forms and derive rigorously the bounds…
On the stability of shear flows in bounded channels, II: non-monotonic shear flows
Alexandru D. Ionescu, Sameer Iyer, Hao Jia
We give a proof of linear inviscid damping and vorticity depletion for non-monotonic shear flows with one critical point in a bounded periodic channel. In particular, we obtain qua…
Uniform linear inviscid damping and enhanced dissipation near monotonic shear flows in high Reynolds number regime (I): the whole space case
Hao Jia
We study the dynamics of the two dimensional Navier Stokes equations linearized around a strictly monotonic shear flow on . The main task is to understa…
Linear vortex symmetrization: the spectral density function
Alexandru D. Ionescu, Hao Jia
We investigate solutions of the 2d incompressible Euler equations, linearized around steady states which are radially decreasing vortices. Our main goal is to understand the smooth…