7 citations · 14 across the 9 of their papers we have counts for
10 papers · 1 filter
Transverse instability of the CH-KP-I equation
Robin Ming Chen, Jie Jin
The Camassa-Holm-Kadomtsev-Petviashvili-I equation (CH-KP-I) is a two dimensional generalization of the Camassa-Holm equation (CH). In this paper, we prove transverse instability o…
Global ill-posedness for a dense set of initial data to the Isentropic system of gas dynamics
Robin Ming Chen, Alexis F. Vasseur, Cheng Yu
In dimension and , we show that for any initial datum belonging to a dense subset of the energy space, there exist infinitely many global-in-time admissible weak solutions…
A Kato-type criterion for vanishing viscosity near the Onsager's critical regularity
Robin Ming Chen, Zhilei Liang, Dehua Wang
We consider a vanishing viscosity sequence of weak solutions of the three-dimensional Navier--Stokes equations on a bounded domain. In a seminal paper [25] Kato showed that for suf…
instability of -stable peakons in the Novikov equation
Robin Ming Chen, Dmitry E. Pelinovsky
It is known from the previous works that the peakon solutions of the Novikov equation are orbitally and asymptotically stable in . We prove, via the method of characteristics,…
Linear Stability of Compressible Vortex Sheets in 2D Elastodynamics: Variable Coefficients
Robin Ming Chen, Jilong Hu, Dehua Wang
The linear stability with variable coefficients of the vortex sheets for the two-dimensional compressible elastic flows is studied. As in our earlier work on the linear stability w…
Martingale solutions for the three-dimensional stochastic nonhomogeneous incompressible Navier-Stokes equations driven by Levy processes
Robin Ming Chen, Dehua Wang, Huaqiao Wang
In this paper, the three-dimensional stochastic nonhomogeneous incompressible Navier-Stokes equations driven by Lévy process consisting of the Brownian motion, the compensated Pois…