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math.AP2022
Non-uniqueness for the hypo-viscous compressible Navier-Stokes equations
Yachun Li, Peng Qu, Zirong Zeng +1
We study the Cauchy problem for the isentropic hypo-viscous compressible Navier-Stokes equations (CNS) under general pressure laws in all dimensions . For all hypo-viscosi…
math.AP2022★ 1 cited
Subsonic time-periodic solution to compressible Euler equations with damping in a bounded domain
Peng Qu, Huimin Yu, Xiaomin Zhang
In this paper, we consider the one-dimensional isentropic compressible Euler equations with linear damping in a bounded domain, which can be used to describe the process…
math.AP2022
Sharp non-uniqueness for the 3D hyperdissipative Navier-Stokes equations: above the Lions exponent
Yachun Li, Peng Qu, Zirong Zeng +1
We study the 3D hyperdissipative Navier-Stokes equations on the torus, where the viscosity exponent can be larger than the Lions exponent . It is well-known that, due to L…