Journal article
STABILITY ANALYSIS AND OPTIMAL CONTROL OF A STATIONARY STOKES HEMIVARIATIONAL INEQUALITY
Evolution equations and control theory, Vol.9(4), pp.995-1008
12/01/2020
DOI: 10.3934/eect.2020046
Abstract
In this paper, we provide stability analysis for a stationary Stokes hemivariational inequality where along the tangential direction of the slip boundary, an inclusion relation involving the generalized subdifferential of a superpotential is specified. With viscous incompressible fluid flows as application background, stability is analyzed for solutions with respect to perturbations in the superpotential and the density of external forces. We also present a result on the existence of a solution to an optimal control problem for the stationary Stokes hemivariational inequality.
Details
- Title: Subtitle
- STABILITY ANALYSIS AND OPTIMAL CONTROL OF A STATIONARY STOKES HEMIVARIATIONAL INEQUALITY
- Creators
- Changjie Fang - Chongqing UniversityWeimin Han - Univ Iowa, Dept Math, Iowa City, IA 52242 USA
- Resource Type
- Journal article
- Publication Details
- Evolution equations and control theory, Vol.9(4), pp.995-1008
- Publisher
- AMER INST MATHEMATICAL SCIENCES-AIMS
- DOI
- 10.3934/eect.2020046
- ISSN
- 2163-2480
- eISSN
- 2163-2480
- Number of pages
- 14
- Grant note
- 11771350 / National Natural Science Foundation of China cstc2016jcyjA0163; cstc2018jcyjAX0605 / Basic and Advanced Research Project of CQ CSTC
- Language
- English
- Date published
- 12/01/2020
- Academic Unit
- Mathematics
- Record Identifier
- 9984241043702771
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