Journal article
Well-posedness analysis of a stationary Navier–Stokes hemivariational inequality
Fixed point theory and algorithms for sciences and engineering, Vol.2021(1), pp.1-14
12/01/2021
DOI: 10.1186/s13663-021-00707-2
Abstract
This paper provides a well-posedness analysis for a hemivariational inequality of the stationary Navier-Stokes equations by arguments of convex minimization and the Banach fixed point. The hemivariational inequality describes a stationary incompressible fluid flow subject to a nonslip boundary condition and a Clarke subdifferential relation between the total pressure and the normal component of the velocity. Auxiliary Stokes hemivariational inequalities that are useful in proving the solution existence and uniqueness of the Navier–Stokes hemivariational inequality are introduced and analyzed. This treatment naturally leads to a convergent iteration method for solving the Navier–Stokes hemivariational inequality through a sequence of Stokes hemivariational inequalities. Equivalent minimization principles are presented for the auxiliary Stokes hemivariational inequalities which will be useful in developing numerical algorithms.
Details
- Title: Subtitle
- Well-posedness analysis of a stationary Navier–Stokes hemivariational inequality
- Creators
- Min Ling - Xi'an Jiaotong UniversityWeimin Han - University of Iowa
- Resource Type
- Journal article
- Publication Details
- Fixed point theory and algorithms for sciences and engineering, Vol.2021(1), pp.1-14
- DOI
- 10.1186/s13663-021-00707-2
- ISSN
- 1687-1820
- eISSN
- 2730-5422
- Publisher
- Springer International Publishing
- Grant note
- 850737 / Simons Foundation (http://dx.doi.org/10.13039/100000893)
- Language
- English
- Date published
- 12/01/2021
- Academic Unit
- Mathematics
- Record Identifier
- 9984240763202771
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