41 citations · 47 across the 5 of their papers we have counts for
5 papers
On a supersonic-sonic patch arising from the Frankl problem in transonic flows
Yanbo Hu, Jiequan Li
We construct a supersonic-sonic smooth patch solution for the two dimensional steady Euler equations in gas dynamics. This patch is extracted from the Frankl problem in the study o…
On the degenerate Cauchy problem for a nonlinear variational wave system, Part I: The same wave speed case
Yanbo Hu, Huijuan Song
We investigate a one-dimensional nonlinear wave system which arises from a variational principle modeling a type of cholesteric liquid crystals. The problem treated here is the Cau…
Singularity for a multidimensional variational wave equation arising from nematic liquid crystals
Yanbo Hu, Guodong Wang
This article is focused on a multidimensional nonlinear variational wave equation which is the Euler-Lagrange equation of a variational principle arising form the theory of nematic…
Sonic-supersonic solutions for the two-dimensional steady full Euler equations
Yanbo Hu, Jiequan Li
This paper focuses on the structure of classical sonic-supersonic solutions near sonic curves for the two-dimensional full Euler equations in gas dynamics. In order to deal with th…
On a global supersonic-sonic patch characterized by 2-D steady full Euler equations
Yanbo Hu, Jiequan Li
Supersonic-sonic patches are ubiquitous in regions of transonic flows and they boil down to a family of degenerate hyperbolic problems in regions surrounded by a streamline, a char…