Go to content
UR Home

A phase field approach to shape optimization in Navier{Stokes
flow with integral state constraints

Garcke, Harald, Hinze, Michael, Kahle, Christian and Lam, Kei Fong (2017) A phase field approach to shape optimization in Navier{Stokes
flow with integral state constraints.
Preprintreihe der Fakultät Mathematik 5/2017, Working Paper. (Submitted)

[img]
Preview
PDF
Download (2MB)
Date of publication of this fulltext: 17 Oct 2017 06:29

Abstract

We consider the shape optimization of an object in Navier{Stokes flow by employing a combined phase field and porous medium approach, along with additional perimeter regularization. By considering integral control and state constraints, we extend the results of earlier works concerning the existence of optimal shapes and the derivation of first order optimality conditions. The control variable is ...

plus


Export bibliographical data



Item type:Monograph (Working Paper)
Series of the University of Regensburg:Preprintreihe der Fakultät Mathematik
Date:2017
Institutions:Mathematics > Prof. Dr. Harald Garcke
Classification:
NotationType
35Q35MSC
35Q56MSC
35R35MSC
49Q10MSC
49Q12MSC
65M22MSC
65M60MSC
76S05MSC
Keywords:multiphase tumour growth, phase field model, Darcy flow, necrosis, cellular adhesion, matched asymptotic expansions, finite element computations
Dewey Decimal Classification:500 Science > 510 Mathematics
Status:Submitted
Refereed:No, this version has not been refereed yet (as with preprints)
Created at the University of Regensburg:Yes
Item ID:36245
Owner only: item control page

Downloads

Downloads per month over past year

  1. Homepage UR

University Library

Publication Server

Contact:

Publishing: oa@ur.de

Dissertations: dissertationen@ur.de

Research data: daten@ur.de

Contact persons