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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}…
A new local regularity criterion for suitable weak solutions of the Navier--Stokes equations in terms of the velocity gradient
Hi Jun Choe, Joerg Wolf, Minsuk Yang
We study the partial regularity of suitable weak solutions to the three dimensional incompressible Navier--Stokes equations. There have been several attempts to refine the Caffarel…
On Liouville type theorems for the steady Navier-Stokes equations in
Dongho Chae, Joerg Wolf
In this paper we prove three different Liouville type theorems for the steady Navier-Stokes equations in . In the first theorem we improve logarithmically the well-known…
A note on the pressure of strong solutions to the Stokes system in bounded and exterior domains
Joerg Wolf
We consider the Stokes problem in an exterior domain with an external force $\bbf \in L^s(0,T; \bW^{k,\, r}(Ω))\, (k\in \N, 1<r<\infty)$. In the present paper we sh…