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arXiv · 2009.08817

Calmness of the solution mapping of Navier-Stokes problems modeled by hemivariational inequalities

Daniela Inoan·Joseph Kolumban
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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.

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Daniela Inoan, Joseph Kolumban. 2020-09-18. Calmness of the solution mapping of Navier-Stokes problems modeled by hemivariational inequalities. https://arxiv.org/abs/2009.08817

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