On the construction of the Stokes flow in a domain with cylindrical ends-Reference-Cited by-同舟云学术

On the construction of the Stokes flow in a domain with cylindrical ends

Published:2024-05-16 Issue:12 Volume:47 Page:10000-10005
ISSN:0170-4214
Container-title:Mathematical Methods in the Applied Sciences
language:en
Short-container-title:Math Methods in App Sciences

Author:

Wendland Wolfgang L.¹

Affiliation:

1. Institute for Analysis and Numerical Simulation University Stuttgart Stuttgart Germany

Abstract

Based on existence results for the Stokes operator and its solution properties in manifolds with cylindrical ends by Große et al. and Kohr et al., the Stokes flow in a three‐dimensional compact domain with circular openings through which the fluid enters and leaves through unbounded cylindrical pipes the Stokes flow is modeled as a mixed boundary value problem whereas in the cylindrical ends, the velocities and pressures are constant on every straight line in the cylindrical directions with initial values from the openings of . These values equal the velocities and pressures which are obtained from the mixed boundary values' solution in at the openings .

Publisher

Wiley

Link

https://onlinelibrary.wiley.com/doi/pdf/10.1002/mma.10106

Reference12 articles.

1. N.Große M.Kohr andV.Nistor General regularity on manifolds with bounded geometry and applications to the deformation operator 2023. arXiv:2304.10943v1 [math AP] 21.

2. M.Kohr V.Nistor andW. L.Wendland Layer potentials and essentially translation invariant pseudodifferential operators on manifolds with cylindrical ends. arXiv:2308.06308v3 [math.AP]. Analysis of partial differential equations. Cornell University Ithaca New York USA. To be published in Postpandemic Operator Theory 61–115 C Theta 2024.

3. Multifield Problems in Solid and Fluid Mechanics

4. Calculation of potential flow about arbitrary bodies;Hess D.;Progr. Aeronaut. Sci.