21 citations · 25 across the 4 of their papers we have counts for
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Universality of blow up profile for small blow up solutions to the energy critical wave map equation
Thomas Duyckaerts, Hao Jia, Carlos Kenig +1
In this paper we introduce the channel of energy argument to the study of energy critical wave maps into the sphere. More precisely, we prove a channel of energy type inequality fo…
Uniqueness of solutions to to Navier Stokes equation with small initial data in
Hao Jia
In this short note we address a problem raised in [21], concerning the uniqueness of solutions to Naiver Stokes equation with small initial data in , the Lorentz…
Long time dynamics of defocusing energy critical 3 + 1 dimensional wave equation with potential in the radial case
Hao Jia, Baoping Liu, Guixiang Xu
Using channel of energy inequalities developed by T.Duyckaerts, C.Kenig and F.Merle, we prove that, modulo a free radiation, any finite energy radial solution to the defocusing ene…
Local-in-space estimates near initial time for weak solutions of the Navier-Stokes equations and forward self-similar solutions
Hao Jia, Vladimír Šverák
We show that the classical Cauchy problem for the incompressible 3d Navier-Stokes equations with -homogeneous initial data has a global scale-invariant solution which is smoo…