5 citations · 10 across the 7 of their papers we have counts for
8 papers
Convergence analysis of unsupervised Legendre-Galerkin neural networks for linear second-order elliptic PDEs
Seungchan Ko, Seok-Bae Yun, Youngjoon Hong
In this paper, we perform the convergence analysis of unsupervised Legendre--Galerkin neural networks (ULGNet), a deep-learning-based numerical method for solving partial different…
Quasi-Monte Carlo finite element approximation of the Navier-Stokes equations with initial data modeled by log-normal random fields
Seungchan Ko, Guanglian Li, Yi Yu
In this paper, we analyze the numerical approximation of the Navier-Stokes problem over a bounded polygonal domain in , where the initial condition is modeled by a lo…
Some Liouville-type theorems for the stationary 3D magneto-micropolar fluids
Jae-Myoung Kim, Seungchan Ko
In this paper we prove some Liouville-type theorems for the stationary magneto-micropolar fluids under suitable conditions in three space dimensions. We first prove that the soluti…
Upper and lower bounds of convergence rates for strong solutions of the generalized Newtonian fluids with non-standard growth conditions
Jae-Myoung Kim, Seungchan Ko
We consider the motion of an incompressible shear-thickening power-law-like non-Newtonian fluid in with a variable power-law index. This system of nonlinear partial different…
Temporal decay of strong solutions for generalized Newtonian fluids with variable power-law index
Seungchan Ko
We consider the motion of a power-law-like generalized Newtonian fluid in R^3, where the power-law index is a variable function. This system of nonlinear partial differential equat…
Existence of global weak solutions for unsteady motions of incompressible chemically reacting generalized Newtonian fluids
Seungchan Ko
We study a system of nonlinear partial differential equations describing the unsteady motions of incompressible chemically reacting non-Newtonian fluids. The system under considera…
Finite element approximation of steady flows of generalized Newtonian fluids with concentration-dependent power-law index
Seungchan Ko, Endre Suli
We consider a system of nonlinear partial differential equations describing the motion of an incompressible chemically reacting generalized Newtonian fluid in three space dimension…
Finite element approximation of an incompressible chemically reacting non-Newtonian fluid
Seungchan Ko, Petra Pustejovská, Endre Süli
We consider a system of nonlinear partial differential equations modelling the steady motion of an incompressible non-Newtonian fluid, which is chemically reacting. The governing s…