105 citations · 793 across the 84 of their papers we have counts for
84 papers
Illposedness via degenerate dispersion for generalized surface quasi-geostrophic equations with singular velocities
Dongho Chae, In-Jee Jeong, Sung-Jin Oh
We prove strong nonlinear illposedness results for the generalized SQG equation in any sufficiently regular Sobolev spaces, w…
Well-posedness for Ohkitani model and long-time existence for surface quasi-geostrophic equations
Dongho Chae, In-Jee Jeong, Jungkyoung Na +1
We consider the Cauchy problem for the logarithmically singular surface quasi-geostrophic (SQG) equation, introduced by Ohkitani, $$\partial_t θ- \nabla^\perp \log(10+(-Δ)^{\frac12…
Axi-symmetric solutions for active vector models generalizing 3D Euler and electron--MHD equations
Dongho Chae, Kyudong Choi, In-Jee Jeong
We study systems interpolating between the 3D incompressible Euler and electron--MHD equations, given by \begin{equation*} \partial_t B + V \cdot \nabla B = B\cdot \nabla V, \qquad…
Active vector models generalizing 3D Euler and electron--MHD equations
Dongho Chae, In-Jee Jeong
We introduce an active vector system, which generalizes both the 3D Euler equations and the electron--magnetohydrodynamic equations (E--MHD). We may as well view the system as sing…
Existence of local suitable weak solutions to the Navier-Stokes equations for initial data in
Dongho Chae, Joerg Wof
We consider the Navier-Stokes equations in subject to the initial condition with initial velocity field in such that $\limsup_{R \to…
Global regularity of non-diffusive temperature fronts for the 2D viscous Boussinesq system
Dongho Chae, Qianyun Miao, Liutang Xue
In this paper we address the temperature patch problem of the 2D viscous Boussinesq system without heat diffusion term. The temperature satisfies the transport equation and the ini…