18 citations · 30 across the 10 of their papers we have counts for
10 papers
Stability and related zero viscosity limit of steady plane Poiseuille-Couette flows with no-slip boundary condtion
Song Jiang, Chunhui Zhou
We prove the existence and stability of smooth solutions to the steady Navier-Stokes equations near plane Poiseuille-Couette flow. Consequently, we also provide the zero viscosity…
On Equivariant Gromov--Witten Invariants of Resolved Conifold with Diagonal and Anti-Diagonal Actions
Si-Qi Liu, Di Yang, Youjin Zhang +1
We propose two conjectural relationships between the equivariant Gromov-Witten invariants of the resolved conifold under diagonal and anti-diagonal actions and the Gromov-Witten in…
Gelfand--Dickey hierarchy, generalized BGW tau-function, and -constraints
Di Yang, Chunhui Zhou
Let be an integer. The generalized BGW tau-function for the Gelfand--Dickey hierarchy of dependent variables (aka the -reduced KP hierarchy) is defined as a pa…
On an extension of the generalized BGW tau-function
Di Yang, Chunhui Zhou
For an arbitrary solution to the Burgers--KdV hierarchy, we define the tau-tuple of the solution. We show that the product admits Buryak's residue formula. The…
The Hodge-FVH Correspondence
Si-Qi Liu, Di Yang, Youjin Zhang +1
The Hodge-FVH correspondence establishes a relationship between the special cubic Hodge integrals and an integrable hierarchy, which is called the fractional Volterra hierarchy. In…
The Loop Equation for Special Cubic Hodge Integrals
Si-Qi Liu, Di Yang, Youjin Zhang +1
As the first step of proving the Hodge-FVH correspondence recently proposed in [19], we derive the Virasoro constraints and the Dubrovin--Zhang loop equation for special cubic Hodg…
Stationary Inviscid Limit to Shear Flows
Sameer Iyer, Chunhui Zhou
In this note we establish a density result for certain stationary shear flows, , that vanish at the boundaries of a horizontal channel. We construct stationary solutions to 2…
Fractional Volterra Hierarchy
Si-Qi Liu, Youjin Zhang, Chunhui Zhou
The generating function of cubic Hodge integrals satisfying the local Calabi-Yau condition is conjectured to be a tau function of a new integrable system which can be regarded as a…
Proof of a Conjecture on the Genus Two Free Energy Associated to the A_n Singularity
Yulong Fu, Si-Qi Liu, Youjin Zhang +1
In a recent paper [8], it is proved that the genus two free energy of an arbitrary semisimple Frobenius manifold can be represented as a sum of contributions associated with dual g…
On the existence of weak solutions to the three-dimensional steady compressible Navier-Stokes equations in bounded domains
Song Jiang, Chunhui Zhou
We prove the existence of a weak solution to the three-dimensional steady compressible isentropic Navier-Stokes equations in bounded domains for any specific heat ratio γ> 1. Gener…