4 citations · 5 across the 8 of their papers we have counts for
8 papers
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…
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…
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…
Global Transonic Solutions to Combined Fanno Rayleigh Flows Through Variable Nozzles
Shih-Wei Chou, John M. Hong, Bo-Chih Huang +1
In this paper, we study the initial-boundary value problem of compressible Euler equations with friction and heating that model the combined Fanno-Rayleigh flows through symmetric…
Global Transonic Solutions of Planetary Atmospheres in Hydrodynamic Region $\mbox{--}$ Hydrodynamic Escape Problem due to Gravity and Heat
Bo-Chih Huang, Shih-Wei Chou, John M. Hong +1
The hydrodynamic escape problem (HEP), which is characterized by a free boundary value problem of Euler equation with gravity and heat, is crucial for investigating the evolution o…
Well-posedness of the two-dimensional generalized Benjamin-Bona-Mahony equation on the upper half plane
Ying-Chieh Lin, C. H. Arthur Cheng, John M. Hong +2
This paper focuses on the two-dimensional Benjamin-Bona-Mahony and Benjamin-Bona-Mahony-Burgers equations with a general flux function. The aim is at the global (in time) well-pose…