3 papers
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…
math.AP2015
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…
math.AP2013
The existence of solutions of 2-dimensional incompressible Navier-Stokes equations with surface tension in an optimal Sobolev space
C. H. Arthur Cheng, Ying-Chieh Lin, Cheng-Fang Su
We establish the existence of a solution to the Navier-Stokes equations on a moving domain with surface tension in an optimal Sobolev space for the case of two space dimension. No…