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math.AP2020
Traveling wave solutions to the multilayer free boundary incompressible Navier-Stokes equations
Noah Stevenson, Ian Tice
For a natural number , we study layers of finite depth, horizontally infinite, viscous, and incompressible fluid bounded below by a flat rigid bottom. Adjacent layers…
math.AP2020
Analysis of micropolar fluids: existence of potential microflow solutions, nearby global well-posedness, and asymptotic stability
Noah Stevenson, Ian Tice
In this paper we concern ourselves with an incompressible, viscous, isotropic, and periodic micropolar fluid. We find that in the absence of forcing and microtorquing there exists…