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math.AP2021
The singularities for a periodic transport equation
Yong Zhang, Fei Xu, Fengquan Li
In this paper, we consider a 1D periodic transport equation with nonlocal flux and fractional dissipation where $κ\g…
math.AP2021
Uniqueness and stability of steady-state solution with finite energy to the fractal Burgers equation
Fei Xu, Yong Zhang, Fengquan Li
The paper is concerned with the steady-state Burgers equation of fractional dissipation on the real line. We first prove the global existence of viscosity weak solutions to the fra…
math.AP2021
Continuity properties of the data-to-solution map and ill-posedness for a two-component Fornberg-Whitham system
Xu Fei, Zhang Yong, Fengquan Li
This work studies a two-component Fornberg-Whitham (FW) system, which can be considered as a model for the propagation of shallow water waves. It's known that its solutions depend…