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math.AP2023
Analytic Gelfand-Shilov smoothing effect of fractional Kramers-Fokker-Planck equation
Chao-Jiang Xu, Yan Xu
We study the Cauchy problem of the fractional Kramers-Fokker- Planck equation and show that the solution to the Cauchy problem enjoys an analytic Gelfand-Shilov regularizing effect…
math.AP2023
Port-Hamiltonian formulations of the incompressible Euler equations with a free surface
Xiaoyu Cheng, J. J. W. Van der Vegt, Yan Xu +1
In this paper, we present port-Hamiltonian formulations of the incompressible Euler equations with a free surface governed by surface tension and gravity forces, modelling e.g. cap…