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math.AP2019
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…
math.AP2019★ 1 cited
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…
math.AP2019
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}…