4 papers · 1 filter
Convergence in the incompressible limit of the corner singularities
Hyung Jun Choi, Seonghak Kim, Youngwoo Koh
In this paper, we treat the corner singularity expansion and its convergence result regarding the penalized system obtained by eliminating the pressure variable in the Stokes probl…
Adhesion and volume filling in one-dimensional population dynamics under no-flux boundary condition
Hyung Jun Choi, Seonghak Kim, Youngwoo Koh
We study the (generalized) one-dimensional population model developed by Anguige \& Schmeiser [1], which reflects cell-cell adhesion and volume filling under no-flux boundary condi…
Non-parabolic diffusion problems in one space dimension
Seonghak Kim, Baisheng Yan
We study some non-parabolic diffusion problems in one-space dimension, where the diffusion flux exhibits forward and backward nature of the Perona-Malik, Höllig or non-Fourier type…
Rate of convergence for one-dimensional quasilinear parabolic problem and its applications
Seonghak Kim
Based on a comparison principle, we derive an exponential rate of convergence for solutions to the initial-boundary value problem for a class of quasilinear parabolic equations in…