Locomotion on small scales is dominated by the effects of viscous forces and, as a result, is
subject to strong physical and mathematical constraints. Following Purcell's statement of the …

The well-known Purcell's toroidal swimmer can translate in low Reynolds number fluid, by
periodically changing its own shape in a nonreciprocal way to overcome the scallop …

Purcell's scallop theorem states that swimmers deforming their shapes in a time-reversible
manner (“reciprocal” motion) cannot swim. Using numerical simulations and theoretical …

We use computer simulations and an analytical model to study the relationship between
kinematics and performance in jet-propelled jellyfish swimming. We prescribe different …

A body immersed in a highly viscous fluid can locomote by drawing in and expelling fluid
through pores at its surface. We consider this mechanism of jet propulsion without inertia in …

We illustrate a concept for shape-changing microswimmers, which exploits the hysteresis of
a shape transition of an elastic object, by an elastic disk undergoing cyclic localized …

Rotating helical bodies of arbitrary cross-sectional profile and infinite length are explored as
they swim through or transport a viscous fluid. The Stokes equations are studied in a helical …

Soft swimming microrobots have attracted considerable attention due to their potential
applications in diverse fields ranging from biomedicines to environmental remediation. The …

This paper deals with the hydrodynamics of a viscous liquid passing through the hole in a
deflating hollow sphere. I employ the method of complementary integrals and calculate in …

The Willmore energy plays a central role in the conformal geometry of surfaces in the
conformal 3-sphere\(S^ 3\). It also arises as the leading term in variational problems ranging …