Myong‐Hwan Ri

activity

20232026

collaborators

3 papers

math.AP2026

Global regularity for the Navier-Stokes equations with application to global solvability for the Euler equations

Myong-Hwan Ri

We show that any Leray-Hopf weak solution to the $d$ -dimensional Navier-Stokes equations $(d \geq 3)$ with initial values $u_{0} \in H^{s} (R^{d})$ , $s \geq - 1 + \frac{d}{2}$ , belong…

math.AP2025

Global regularity of Leray-Hopf weak solutions to 3D Navier-Stokes equations

Myong-Hwan Ri

We show that any Leray-Hopf weak solution to 3D Navier-Stokes equations with initial values u0 2 H1=2(R3) belong to L1(0; 1; H1=2(R3)) and thus it is regular. For the proof, flrst,…

math.AP2023

Energy Superposition and Regularity for 3D Navier-Stokes Equations in the Largest Critical Space

Myong-Hwan Ri

We show that a Leray-Hopf weak solution to the 3D Navier-Stokes Cauchy problem belonging to the space $L^{\infty} (0, T; B_{\infty, \infty}^{- 1} (R^{3}))$ is regular in $(0, T]$ . As…