Calmness of the solution mapping of Navier-Stokes problems modeled by hemivariational inequalities
Optimization and Control
2020-09-21 v1
Abstract
The main purpose of this paper is to find conditions for Holder calmness of the solution mapping, viewed as a function of the boundary data, of a hemivariational inequality governed by the Navier-Stokes operator. To this end, a more abstract model is studied first: a class of parametric equilibrium problems defined by trifunctions. The presence of trifunctions allows the extension of the monotonicity notions and of the duality principle in the theory of equilibrium problems.
Keywords
Cite
@article{arxiv.2009.08817,
title = {Calmness of the solution mapping of Navier-Stokes problems modeled by hemivariational inequalities},
author = {Daniela Inoan and Joseph Kolumban},
journal= {arXiv preprint arXiv:2009.08817},
year = {2020}
}