2 papers
math.AP2023
Symmetry groups, fundamental solutions and conservation laws for conformable time fractional partial differential system with variable coefficients
Xiaoyu Cheng, Lizhen Wang
In this paper, the relationships between Lie symmetry groups and fundamental solutions for a class of conformable time fractional partial differential equations (PDEs) with variabl…
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…