46 citations · 46 across the 1 of their papers we have counts for
3 papers
physics.flu-dyn2021★ 46 cited
Electrokinetic oscillatory flow and energy conversion of viscoelastic fluids in microchannels: a linear analysis
Zhaodong Ding, Yongjun Jian
We study the electrokinetic flow of viscoelastic fluids subjected to an oscillatory pressure gradient, and particularly focus on the resonance behaviors in the flow. The governing…
math.DS2018
Numerical invariant tori of symplectic integrators for integrable Hamiltonian systems
Zhaodong Ding, Zaijiu Shang
In this paper, we study the persistence of invariant tori of integrable Hamiltonian systems satisfying Rüssmann's non-degeneracy condition when symplectic integrators are applied t…
math.DS2018
Exponential Stability Estimate of Symplectic Integrators for Integrable Hamiltonian Systems
Zhaodong Ding, Zaijiu Shang, Bo Xie
We prove a Nekhoroshev-type theorem for nearly integrable symplectic map. As an application of the theorem, we obtain the exponential stability symplectic algorithms. Meanwhile, we…