27 citations · 72 across the 9 of their papers we have counts for
10 papers
The -based strong Onsager theorem
Vikram Giri, Hyunju Kwon, Matthew Novack
In this work, we prove the -based strong Onsager conjecture for the three-dimensional Euler equations. Our main theorem states that there exist weak solutions which dissipate…
A wavelet-inspired -based convex integration framework for the Euler equations
Vikram Giri, Hyunju Kwon, Matthew Novack
In this work, we develop a wavelet-inspired, -based convex integration framework for constructing weak solutions to the three-dimensional incompressible Euler equations. The m…
On Non-uniqueness of continuous entropy solutions to the isentropic compressible Euler equations
Vikram Giri, Hyunju Kwon
We consider the Cauchy problem for the isentropic compressible Euler equations in a three-dimensional periodic domain under general pressure laws. For any smooth initial density aw…
The role of the pressure in the regularity theory for the Navier-Stokes equations
Hyunju Kwon
We first show the equivalence of two classes of generalized suitable weak solutions to the 3D incompressible Navier-Stokes equations allowing distributional pressure, the class of…
On bifurcation of self-similar solutions of the stationary Navier-Stokes equations
Hyunju Kwon, Tai-Peng Tsai
Landau solutions are special solutions to the stationary incompressible Navier-Stokes equations in the three dimensional space excluding the origin. They are self-similar and axisy…
Local regularity of weak solutions of the hypodissipative Navier-Stokes equations
Hyunju Kwon, Wojciech S. Ożański
We consider the 3D incompressible hypodissipative Navier-Stokes equations, when the dissipation is given as a fractional Laplacian for , and we provide a…
Non-uniqueness of steady-state weak solutions to the surface quasi-geostrophic equations
Xinyu Cheng, Hyunju Kwon, Dong Li
We show the existence of nontrivial stationary weak solutions to the surface quasi-geostrophic equations on the two dimensional periodic torus.
On Non-uniqueness of Hölder continuous globally dissipative Euler flows
Camillo De Lellis, Hyunju Kwon
We show that for any $\al<\frac 17$ there exist $\al$-Hölder continuous weak solutions of the three-dimensional incompressible Euler equation, which satisfy the local energy inequa…
Strong ill-posedness of logarithmically regularized 2D Euler equations in the borderline Sobolev Space
Hyunju Kwon
Logarithmically regularized 2D Euler equations are active scalar equations with the non-local velocity for the scalar . Two types of the regularizi…
Global Navier-Stokes flows for non-decaying initial data with slowly decaying oscillation
Hyunju Kwon, Tai-Peng Tsai
Consider the Cauchy problem of incompressible Navier-Stokes equations in with uniformly locally square integrable initial data. If the square integral of the initial…