论文标题

纳维尔 - 斯托克斯问题的溶液映射的镇定性,由半传不平等建模

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

论文作者

Inoan, Daniela, Kolumban, Joseph

论文摘要

本文的主要目的是找到解决方案映射的持有人平静的条件,被视为边界数据的函数,由Navier-Stokes Operator管辖的半传递不平等。为此,首先研究了一个更抽象的模型:一类由三函数定义的参数平衡问题。三函数的存在允许在平衡问题理论中扩展单调性概念和二元性原理。

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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