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20222024
most citedAdhesion and volume filling in one-dimensional population dynamics under Dirichlet boundary condition

1 citations · 1 across the 6 of their papers we have counts for

collaborators

6 papers

math.AP2024

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…

math.AP2024

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…

math.AP2024★ 1 cited

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…

math.OC2023

Non-ergodic linear convergence property of the delayed gradient descent under the strongly convexity and the Polyak-Łojasiewicz condition

Hyung Jun Choi, Woocheol Choi, Jinmyoung Seok

In this work, we establish the linear convergence estimate for the gradient descent involving the delay when the cost function is -strongly convex and -smoot…

math.NA2023

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\{…

math.NA2022

Convergence analysis of the splitting method to the nonlinear heat equation

Hyung Jun Choi, Woocheol Choi, Youngwoo Koh

In this paper, we analyze an operator splitting scheme of the nonlinear heat equation in (): in $Ω\times(0,\infty…