3 papers
math.AP2026
Blow-up criterion to the compressible full Navier-Stokes equations with inflow-outflow boundary conditions
C. H. Arthur Cheng, Young-Sam Kwon, Cheng-Fang Su
We investigate the compressible Navier-Stokes equations with heat conduction subject to inflow/outflow boundary conditions, establishing the existence of a strong solution. The pri…
math.AP2026
Real analytic solutions to the divergence equation
Chi Hin Chan, Jun-Shuo Chen, Cheng-Fang Su
In this paper, we develop a differential-topological method to yield explicit real analytic solutions to the divergence equation on any annali $A(R_1…
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…