35 citations · 111 across the 16 of their papers we have counts for
17 papers
On the Serrin-type condition on one velocity component for the Navier-Stokes equations
Dongho Chae, Joerg Wolf
In this paper we consider the regularity problem of the Navier-Stokes equations in . We show that the Serrin-type condition imposed on one component of the velocity $ u_3…
The Euler equations in a critical case of the generalized Campanato space
Dongho Chae, Joerg Wolf
In this paper we prove local in time well-posedness for the incompressible Euler equations in for the initial data in , whic…
Transport equation in generalized Campanato spaces
Dongho Chae, Joerg Wolf
In this paper we study the transport equation in , , \[ \partial _t f + v\cdot \nabla f = g, \quad f(\cdot ,0)= f_0 \quad \text{in}\quad \mathbb{R}…
On Liouville type theorems for the stationary MHD and Hall-MHD systems
Dongho Chae, Joerg Wolf
In this paper we prove a Liouville type theorem for the stationary magnetohydrodynamics(MHD) system in . Let be a smooth solution to the stationary MHD equati…
On Liouville type theorem for a generalized stationary Navier-Stokes equations
Dongho Chae, Joerg Wolf
In this paper we prove a Liouville type theorem for generalized stationary Navier-Stokes systems in , which model non-Newtonian fluids, where the Laplacian term is r…
Removing Type II singularities off the axis for the 3D axisymmetric Euler equations
Dongho Chae, Joerg Wolf
We prove local blow-up criterion for smooth axisymmetric solutions to the 3D incompressible Euler equation. If the vorticity satisfies $ \intl_{0}^{t_*} (t_*-t) \| ω(t)\|_{ L^\inft…