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Showing 2016 · math.APShow all
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math.AP2016★ 13 cited
Solution landscapes in nematic microfluidics
Maria Crespo, Ian Griffiths, Apala Majumdar +1
We study the static equilibria of a simplified Leslie--Ericksen model for a unidirectional uniaxial nematic flow in a prototype microfluidic channel, as a function of the pressure…
math.AP2016★ 5 cited
The Derivation of the Linear Boltzmann Equation from a Rayleigh Gas Particle Model
Karsten Matthies, George Stone, Florian Theil
A linear Boltzmann equation is derived in the Boltzmann-Grad scaling for the deterministic dynamics of many interacting particles with random initial data. We study a Rayleigh gas…
math.AP2016
Stabilization via Homogenization
Marcus Waurick
In this short note we treat a 1+1-dimensional system of changing type. On different spatial domains the system is of hyperbolic and elliptic type, that is, formally, $\partial_t^2…