Journal article
Analysis of a family of Navier-Stokes-type variational-hemivariational inequalities with applications
Nonlinear analysis: real world applications, Vol.93, 104688
02/2027
DOI: 10.1016/j.nonrwa.2026.104688
Abstract
The paper provides a well-posedness analysis for a family of stationary Navier-Stokes-type variational-hemivariational inequalities, motivated by applications in fluid mechanics. The family contains various mixed variational equations, mixed variational inequalities and mixed hemivariational inequalities found in the literature as special cases. The main features of the paper are that the existence and uniqueness of both the velocity field and pressure field are established, and the results are proved in an accessible fashion without the need of knowledge of abstract surjectivity results for pseudomonotone operators as required in many references on variational-hemivariational inequalities. The results are applied to the study of a variational-hemivariational inequality of the Navier-Stokes equations for incompressible fluid flows subject to slip conditions of frictional type, both monotone and non-monotone.
Details
- Title: Subtitle
- Analysis of a family of Navier-Stokes-type variational-hemivariational inequalities with applications
- Creators
- Weimin Han - University of IowaYi-Bin Xiao - University of Electronic Science and Technology of ChinaShengda Zeng - Chongqing Normal University
- Resource Type
- Journal article
- Publication Details
- Nonlinear analysis: real world applications, Vol.93, 104688
- DOI
- 10.1016/j.nonrwa.2026.104688
- ISSN
- 1468-1218
- eISSN
- 1878-5719
- Publisher
- Elsevier Ltd
- Grant note
- Simons Foundation Collaboration Grants: 850737 National Natural Science Foundation of China: 12371312
1 The work of this author was supported by Simons Foundation Collaboration Grants, No. 850737. 2 The work of this author was supported by the National Natural Science Foundation of China under Grant No. 12571318. 3 The work of this author was supported by the National Natural Science Foundation of China under Grant No. 12371312.
- Language
- English
- Electronic publication date
- 06/13/2026
- Date published
- 02/2027
- Academic Unit
- Mathematics
- Record Identifier
- 9985175464202771
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