Nanoliter deposition on star-shaped hydrophilic–superhydrophobic patterned surfaces

Sliding droplets on hydrophilic/superhydrophobic patterned surfaces for liquid deposition

Existence of Multiple Periodic Orbits on Star-Shaped Hamiltonian Surfaces

Consider the Hamiltonian system i = 1 , . . . , N. Here, H E C2(R2N, R). In this paper, we investigate the existence of periodic orbits of (HS) on a given energy surface X = { z E W Z N ; H ( z) = c} ( c > 0 is a constant). The surface I: is required to verify certain geometric assumptions: B bounds a star-shaped compact region B and u 8 c B c pS for some ellipsoid %‘c RZN, 0 < (Y < p. We exhib...

modeling of controlled particle deposition on to electronically conducting surfaces

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Directional Wetting on Patterned Surfaces

Note on Star-shaped Sets

1. The aim of this note is to prove that if 717" is a compact subset of En and for some m every w-dimensional hyperplane through a fixed point pQEn intersects M along a nonempty acyclic set, lúm^n — 1, then M is star-shaped with respect to p, i.e., if aQM then the segment pa is contained in M. This theorem is a generalization of a theorem of Aumann [l]. We gave recently a proof of Aumann's theo...