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4 papers · 2 filters
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…
Semi-classical limit of quantum free energy minimizers for the gravitational Hartree equation
Woocheol Choi, Younghun Hong, Jinmyoung Seok
For the gravitational Vlasov-Poisson equation, Guo and Rein constructed a class of classical isotropic states as minimizers of free energies (or energy-Casimir functionals) under m…
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…
Global Well-posedness and Long Time Behaviors of Chemotaxis-Fluid System Modeling Coral Fertilization
Myeongju Chae, Kyungkeun Kang, Jihoon Lee
We consider generalized models on coral broadcast spawning phenomena involving diffusion, advection, chemotaxis, and reactions when egg and sperm densities are different. We prove…