4 citations · 6 across the 10 of their papers we have counts for
3 papers · 1 filter
Semi-analytic PINN methods for singularly perturbed boundary value problems
Gung-Min Gie, Youngjoon Hong, Chang-Yeol Jung
We propose a new semi-analytic physics informed neural network (PINN) to solve singularly perturbed boundary value problems. The PINN is a scientific machine learning framework tha…
The 3D Euler equations with inflow, outflow and vorticity boundary conditions
Gung-Min Gie, James P. Kelliher, Anna L. Mazzucato
The 3D incompressible Euler equations in a bounded domain are most often supplemented with impermeable boundary conditions, which constrain the fluid to neither enter nor leave the…
The linearized 3D Euler equations with inflow, outflow
Gung-Min Gie, James P. Kelliher, Anna L. Mazzucato
In 1983, Antontsev, Kazhikhov, and Monakhov published a proof of the existence and uniqueness of solutions to the 3D Euler equations in which on certain inflow boundary components…