28 citations · 32 across the 5 of their papers we have counts for
5 papers
Necessary conditions for blow-up solutions to the restricted Euler--Poisson equations
Hailiang Liu, Jaemin Shin
In this work, we study the behavior of blow-up solutions to the multidimensional restricted Euler--Poisson equations which are the localized version of the full Euler--Poisson syst…
Higher order operator splitting Fourier spectral methods for the Allen-Cahn equation
Jaemin Shin, Hyun Geun Lee, June-Yub Lee
The Allen-Cahn equation is solved numerically by operator splitting Fourier spectral methods. The basic idea of the operator splitting method is to decompose the original problem i…
Spectral properties of the Neumann-Poincaré operator and uniformity of estimates for the conductivity equation with complex coefficients
Hyeonbae Kang, Kyoungsun Kim, Hyundae Lee +2
We consider well-posedness of the boundary value problem in presence of an inclusion with complex conductivity . We first consider the transmission problem in and…
The Cauchy-Dirichlet problem for the FENE dumbbell model of polymeric fluids
Hailiang Liu, Jaemin Shin
The FENE dumbbell model consists of the incompressible Navier-Stokes equation and the Fokker-Planck equation for the polymer distribution. In such a model, the polymer elongation c…
Global Well-Posedness for the Microscopic FENE Model with a Sharp Boundary Condition
Hailiang Liu, Jaemin Shin
We prove global well-posedness for the microscopic FENE model under a sharp boundary requirement. The well-posedness of the FENE model that consists of the incompressible Navier-St…