5 citations · 13 across the 7 of their papers we have counts for
8 papers
A Morawetz type energy estimate for wave equation in and application to elastic waves
Ningan Lai, Silu Yin, Yi Zhou
In this paper, we introduce a modified scaling Morawetz multiplier, which produces a weighted Morawetz type energy (non-negative) estimate for the inhomogeneous wave equation in $\…
ill-posedness for 2D Elastic Wave system
Xinliang An, Haoyang Chen, Silu Yin
In this paper, we prove that for the 2D elastic wave equations, a physical system with multiple wave-speeds, its Cauchy problem fails to be locally well-posed in $H^{\frac{11}{4}}(…
The Cauchy problems for the 2D compressible Euler equations and ideal MHD system are ill-posed in
Xinliang An, Haoyang Chen, Silu Yin
In a fractional Sobolev space with , we prove the low-regularity ill-posedness for the 2D compressible Euler equations and the 2D ideal compressib…
Low regularity ill-posedness and shock formation for 3D ideal compressible MHD
Xinliang An, Haoyang Chen, Silu Yin
The study of magnetohydrodynamics (MHD) significantly boosts the understanding and development of solar physics, planetary dynamics and controlled nuclear fusion. Dynamical propert…
Low regularity ill-posedness for elastic waves driven by shock formation
Xinliang An, Haoyang Chen, Silu Yin
In this paper, we construct counterexamples to the local existence of low-regularity solutions to elastic wave equations in three spatial dimensions (3D). Inspired by the recent wo…
Stability and instability of the standing waves for the Klein-Gordon-Zakharov system in one space dimension
Silu Yin
The orbital instability of standing waves for the Klein-Gordon-Zakharov system has been established in two and three space dimensions under radially symmetric condition, see Ohta-T…
Long-time existence of nonlinear inhomogeneous compressible elastic waves
Silu Yin, Xiufang Cui
In this paper, we consider the nonlinear inhomogeneous compressible elastic waves in three spatial dimensions when the density is a small disturbance around a constant state. In ho…
Global existence of radial solutions for general semilinear hyperbolic systems in 3D
Silu Yin, Yi Zhou
We study the well-posedness of radial solutions for general nonlinear hyperbolic systems in three dimensions. We give a proof of the global existence of radial solutions for genera…