3 papers
math.NA2026
Robust training and rigorous error analysis of physics-informed neural networks for the -Laplace equation
Kyueon Choi, Seungchan Ko, Dohyun Kwon
With the rise of scientific machine learning, physics-informed neural networks (PINNs) have been extensively applied to a wide range of problems. Nevertheless, most theoretical ana…
math.AP2025
On the local well-posedness of strong solutions to the unsteady flows of shear-thinning non-Newtonian fluids with a concentration-dependent power-law index
Kyueon Choi, Kyungkeun Kang, Seungchan Ko
We investigate a system of nonlinear partial differential equations modeling the unsteady flow of a shear-thinning non-Newtonian fluid with a concentration-dependent power-law inde…
math.AP2024
On the existence of strong solutions for unsteady motions of incompressible chemically reacting generalized Newtonian fluids
Kyueon Choi, Kyungkeun Kang, Seungchan Ko
We consider a system of nonlinear partial differential equations modeling the unsteady motion of an incompressible generalized Newtonian fluid with chemical reactions. The system c…