Journal article
Minimization principle in study of a Stokes hemivariational inequality
Applied mathematics letters, Vol.121, p.107401
11/2021
DOI: 10.1016/j.aml.2021.107401
Abstract
In this paper, an equivalent minimization principle is established for a hemivariational inequality of the stationary Stokes equations with a nonlinear slip boundary condition. Under certain assumptions on the data, it is shown that there is a unique minimizer of the minimization problem, and furthermore, the mixed formulation of the Stokes hemivariational inequality has a unique solution. The proof of the result is based on basic knowledge of convex minimization. For comparison, in the existing literature, the solution existence and uniqueness result for the Stokes hemivariational inequality is proved through the notion of pseudomonotonicity and an application of an abstract surjectivity result for pseudomonotone operators, in which an additional linear growth condition is required on the subdifferential of a super-potential in the nonlinear slip boundary condition.
Details
- Title: Subtitle
- Minimization principle in study of a Stokes hemivariational inequality
- Creators
- Min Ling - Xi'an Jiaotong UniversityWeimin Han - University of Iowa
- Resource Type
- Journal article
- Publication Details
- Applied mathematics letters, Vol.121, p.107401
- DOI
- 10.1016/j.aml.2021.107401
- ISSN
- 0893-9659
- eISSN
- 1873-5452
- Publisher
- Elsevier Ltd
- Grant note
- 823731 / European Union’s Horizon 2020 Research and Innovation Programme
- Language
- English
- Date published
- 11/2021
- Academic Unit
- Mathematics
- Record Identifier
- 9984241048502771
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