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2016 | OriginalPaper | Chapter

On Vorticity Formulation for Viscous Incompressible Flows in R ₊ ³

Authors : Humiya Kosaka, Yasunori Maekawa

Published in: Recent Developments of Mathematical Fluid Mechanics

Publisher: Springer Basel

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Abstract

In this paper we study the vorticity equations for viscous incompressible flows in the half space under the no-slip boundary condition on the velocity field. In particular, the boundary condition for the vorticity field is presented explicitly, and the solution formula for the linearized problem is obtained.

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previous chapter Weighted L p − L q Estimates of Stokes Semigroup in Half-Space and Its Application to the Navier-Stokes Equations

next chapter A Weak Solution to the Navier–Stokes System with Navier’s Boundary Condition in a Time-Varying Domain

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Title: On Vorticity Formulation for Viscous Incompressible Flows in R + 3
Authors: Humiya Kosaka
Yasunori Maekawa
Publisher: Springer Basel
Book: Recent Developments of Mathematical Fluid Mechanics
Print ISBN: 978-3-0348-0938-2

Electronic ISBN: 978-3-0348-0939-9

Copyright Year: 2016
DOI: https://doi.org/10.1007/978-3-0348-0939-9_19

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