Differential History-Dependent Variational-Hemivariational Inequality with Application to a Dynamic Contact Problem

被引：0
作者：
Abderrahmane Oultou
Zakaria Faiz
Othmane Baiz
Hicham Benaissa
机构：
[1] University Sultan Moulay Slimane,Polydisciplinary Faculty of Khouribga
[2] Ibn Zohr University,Polydisciplinary Faculty of Ouarzazate
来源：
Acta Applicandae Mathematicae | 2024年 / 189卷
关键词：
Variational-hemivariational inequality; History-dependent; Rothe method; Viscoelastic; Wear; Non-linear equation; 35J87; 47J20; 49J40; 74F15; 74G30; 74M10; 74M15; 74S05;
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摘要：
This paper is dedicated to the discussion of a new dynamical system involving a history-dependent variational-hemivariational inequality coupled with a non-linear evolution equation. The existence and uniqueness of the solution to this problem are established using the Rothe method and a surjectivity result for a pseudo-monotone perturbation of a maximal operator. Additionally, we derive the regularity solution for such a history-dependent variational-hemivariational inequality. Furthermore, the main results obtained in this study are applied to investigate the unique solvability of a dynamical viscoelastic frictional contact problem with long memory and wear.
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[1]  
Andrews K.T.(1997)A dynamic thermoviscoelastic contact problem with friction and wear Int. J. Eng. Sci. 35 1291-1309
[2]  
Shillor M.(2016)The Rothe method for variational-hemivariational inequalities with applications to contact mechanics SIAM J. Math. Anal. 48 861-883
[3]  
Wright S.(2015)Rothe method for parabolic variational–hemivariational inequalities J. Math. Anal. Appl. 423 841-862
[4]  
Klarbring A.(2023)Optimal control of differential quasi-variational-hemivariational inequalities with applications Sci. China Math. 71 23p-394
[5]  
Bartosz K.(1999)A theory of discretization for nonlinear evolution inequalities applied to parabolic Signorini problems Ann. Mat. Pura Appl. 177 363-2031
[6]  
Sofonea M.(2020)Variational and numerical analysis of a dynamic viscoelastic contact problem with friction and wear Optimization 69 2003-3912
[7]  
Bartosz K.(2021)A new class of differential nonlinear system involving parabolic varitional and history-dependent hemivariational inequalities arising in contact mechanics Commun. Nonlinear Sci. Numer. Simul. 101 3891-88
[8]  
Cheng X.(2014)A class of variational–hemivariational inequalities with applications to frictional contact problems SIAM J. Math. Anal. 46 69-631
[9]  
Kalita Y.P.Y.(2017)Analysis of a general dynamic history-dependent variational- hemivariational inequality Nonlinear Anal., Real World Appl. 36 618-330
[10]  
Zheng C.(2012)Regularity and Rothe method error estimates for parabolic hemivariational inequality J. Math. Anal. Appl. 389 319-1435
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