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.AP2022
Global Classical Solutions Near Vacuum to the Initial-Boundary Value Problem of Isentropic Supersonic Flows through Divergent Ducts
Ying-Chieh Lin, Jay Chu, John M. Hong +1
In this paper, we study the global existence and asymptotic behavior of classical solutions near vacuum for the initial-boundary value problem modeling isentropic supersonic flows…