59 citations · 152 across the 16 of their papers we have counts for
4 papers · 1 filter
Directed migration of microscale swimmers by an array of shaped obstacles: modeling and shape optimization
Jiajun Tong, Michael J. Shelley
Achieving macroscopic directed migration of microscale swimmers in a fluid is an important step towards utilizing their autonomous motion. It has been experimentally shown that dir…
On the Viscous Camassa-Holm Equations with Fractional Diffusion
Zaihui Gan, Fang-Hua Lin, Jiajun Tong
We study Cauchy problem of a class of viscous Camassa-Holm equations (or Lagrangian averaged Navier-Stokes equations) with fractional diffusion in both smooth bounded domains and i…
Solvability of the Stokes Immersed Boundary Problem in Two Dimensions
Fang-Hua Lin, Jiajun Tong
We study coupled motion of a 1-D closed elastic string immersed in a 2-D Stokes flow, known as the Stokes immersed boundary problem in two dimensions. Using the fundamental solutio…
Guiding microscale swimmers using teardrop-shaped posts
Megan S. Davies Wykes, Xiao Zhong, Jiajun Tong +6
The swimming direction of biological or artificial microscale swimmers tends to be randomised over long time-scales by thermal fluctuations. Bacteria use various strategies to bias…