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pro vyhledávání: '"Choi, Hyung Jun"'
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 problem of incompressible flow. The penalized problem is a kind of the Lam\
Externí odkaz:
http://arxiv.org/abs/2409.06602
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 condition. In this generalized model, depending on the adhesion and volume
Externí odkaz:
http://arxiv.org/abs/2409.05909
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 six types. Among these types, we fix one that yields a class of advect
Externí odkaz:
http://arxiv.org/abs/2409.04689
In this work, we establish the linear convergence estimate for the gradient descent involving the delay $\tau\in\mathbb{N}$ when the cost function is $\mu$-strongly convex and $L$-smooth. This result improves upon the well-known estimates in Arjevani
Externí odkaz:
http://arxiv.org/abs/2308.11984
We establish convergence results related to the operator splitting scheme on the Cauchy problem for the nonlinear Schr\"odinger equation with rough initial data in $L^2$, $$ \left\{ \begin{array}{ll} i\partial_t u +\Delta u = \lambda |u|^{p} u, & (x,
Externí odkaz:
http://arxiv.org/abs/2305.07410
Autor:
Choi, Hyung Jun
On-going research at Texas A&M University indicated that soil stabilization using calcium chloride filter cake along with Class F fly ash generates high strength. Previous studies were conducted with samples containing calcium chloride filter cake an
Externí odkaz:
http://hdl.handle.net/1969.1/4287
Publikováno v:
In Journal of Differential Equations 5 February 2025 417:164-190
In this paper, we analyze an operator splitting scheme of the nonlinear heat equation in $\Omega\subset\mathbb{R}^d$ ($d\geq 1$): $\partial_t u = \Delta u + \lambda |u|^{p-1} u$ in $\Omega\times(0,\infty)$, $u=0$ in $\partial\Omega\times(0,\infty)$,
Externí odkaz:
http://arxiv.org/abs/2202.01430
Akademický článek
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Autor:
Choi, Hyung Jun, Kim, Seonghak
Publikováno v:
In Journal of Differential Equations 5 August 2023 363:195-242