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math.AP2025
Asymptotic stability of the symmetric flow via inviscid damping and enhanced dissipation
Qi Chen, Hao Li, Shunlin Shen +1
In this paper, we establish the inviscid damping and enhanced dissipation estimates for the linearized Navier-Stokes system around the symmetric flow in a finite channel with the n…
math.AP2025
Global stability of the inhomogeneous sheared Boltzmann equation in torus
Renjun Duan, Shuangqian Liu, Shunlin Shen
Homo-energetic solutions to the spatially homogeneous Boltzmann equation have been extensively studied, but their global stability in the inhomogeneous setting remains challenging…
math.AP2025
-decoupling and the unconditional uniqueness for the Boltzmann equation
Xuwen Chen, Shunlin Shen, Zhifei Zhang
We broaden the application of the -decoupling theorem to the Boltzmann equation. We prove Strichartz estimates for the linear problem in the setting. We estab…