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math.AP2022
Dynamics and steady state of squirmer motion in liquid crystal
Leonid Berlyand, Hai Chi, Mykhailo Potomkin +1
We analyze a nonlinear PDE system describing the motion of a microswimmer in a nematic liquid crystal environment. For the microswimmer's motility, the squirmer model is used in wh…
math.AP2022
Bunching instability and asymptotic properties in epitaxial growth with elasticity effects: continuum model
Tao Luo, Yang Xiang, Nung Kwan Yip
We study the continuum epitaxial model for elastic interacting atomic steps on vicinal surfaces proposed by Xiang and E (Xiang, SIAM J. Appl. Math. 63:241-258, 2002; Xiang and E, P…