2 papers
cs.LG2023
Conservative Physics-Informed Neural Networks for Non-Conservative Hyperbolic Conservation Laws Near Critical States
Reyna Quita, Yu-Shuo Chen, Hsin-Yi Lee Alex C. Hu +1
In this paper, a modified version of conservative Physics-informed Neural Networks (cPINN for short) is provided to construct the weak solutions of Riemann problem for the hyperbol…
math.AP2017
Existence and Instability of Traveling Pulses of Keller-Segel System with Nonlinear Chemical Gradients and Small Diffusions
Chueh-Hsin Chang, Yu-Shuo Chen, John M. Hong +1
In this paper, we consider a generalized model of Keller-Segel system with nonlinear chemical gradient and small cell diffusion. The existence of the traveling pulses f…