4 papers
Time splitting method for nonlinear Schrödinger equation with rough initial data in
Hyung Jun Choi, Seonghak Kim, Youngwoo Koh
We establish convergence results related to the operator splitting scheme on the Cauchy problem for the nonlinear Schrödinger equation with rough initial data in , $$ \left\{…
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…
Adhesion and volume filling in one-dimensional population dynamics under Dirichlet boundary condition
Hyung Jun Choi, Seonghak Kim, Youngwoo Koh
We generalize the one-dimensional population model of Anguige \& Schmeiser [1] reflecting the cell-to-cell adhesion and volume filling and classify the resulting equation into the…