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math.AP2024
Internal waves in a 2D subcritical channel
Zhenhao Li, Jian Wang, Jared Wunsch
We analyze the scattering of linear internal waves in a two dimensional channel with subcritical bottom topography. We construct the scattering matrix for the internal wave problem…
math-ph2024
Long time quantum-classical correspondence for open systems in trace norm
Zhenhao Li
We consider a frictionless system coupled to an external Markovian environment. The quantum and classical evolution of such systems are described by the Lindblad and the Fokker-Pla…
math.AP2024★ 1 cited
Internal waves in aquariums with characteristic corners
Zhenhao Li
We give a precise microlocal description of the singular profile that forms in the long-time propagation of internal waves in an effectively two-dimensional aquarium. We allow doma…