3 citations · 10 across the 17 of their papers we have counts for
17 papers
Irregular Diffusions and Loss of Regularity in Polyconvex Gradient Flows
Bin Guo, Seonghak Kim, Baisheng Yan
We investigate diffusion-type partial differential equations that are irregular in the sense that they admit weak solutions which are nowhere smooth, even for prescribed smooth dat…
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…
On integral convexity, variational solutions and nonlinear semigroups
Seonghak Kim, Baisheng Yan
In this paper we provide a different approach for existence of the variational solutions of the gradient flows associated to functionals on Sobolev spaces studied in \cite{BDDMS20}…
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\{…