8 citations · 17 across the 6 of their papers we have counts for
6 papers
Renewal process's guide to fractional Navier-Stokes equations
Hong Zhang
The Navier-Stokes equations, which remain unsolved, are crucial equations in fluid mechanics. Discovering the solutions to the Navier-Stokes equations is one of the challenging Mil…
Fluid reactive anomalous transport with random waiting time depending on the preceding jump length
Hong Zhang, Guo-Hua Li
Anomalous (or non-Fickian) diffusion has been widely found in fluid reactive transport and the traditional advection diffusion reaction equation based on Fickian diffusion is prove…
Anomalous quantum mechanics
Hong Zhang
The fractional operators together with exponential quantum in coordinate and momentum space corresponding to the power of observables are introduced. Based on an exponential relati…
Reaction-subdiffusion on moving fluids
Hong Zhang, Guohua Li
To capture the dynamic behaviors of reaction-subdiffusion in flow fields, in the present paper we analyze a simple monomolecular conversion A B. We derive the corresp…
Fractionally diffusing passing through the saddle point of metastable potential
Chun-Yang Wang, Cui-Feng Sun, Hong Zhang +2
The diffusion of a fractional Brownian particle passing over the saddle point is studied in the field of the metastable potential. The barrier escaping probability is found to be g…
Fractional Entropy Decaying and the Third Law of Thermodynamics
Chun-Yang Wang, Xue-Mei Zong, Cui-Feng Sun +2
The quantum thermodynamic property of the fractional damping system is investigated extensively. A fractional power-law decaying entropy function is revealed which presents another…