Results 21 to 30 of about 129 (115)
A class of hyperbolic variational–hemivariational inequalities without damping terms
Advances in Nonlinear Analysis, 2022 In this article, we study a large class of evolutionary variational–hemivariational inequalities of hyperbolic type without damping terms, in which the functional framework is considered in an evolution triple of spaces.
Zeng Shengda +2 more
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On a Type of Hyperbolic Variational–Hemivariational Inequalities [PDF]
Journal of Applied Analysis, 1999 The authors consider the second-order initial value problem \[ u''(t) + Au(t) + \partial \psi(u(t)) + \chi(t) \ni f(t), \qquad 0 \leq t \leq T, \] \[ \chi(t) \in U^*(\partial_c j (Uu(t))), \quad 0 \leq t \leq T, \qquad u(0) = u_0, \quad u'(0) = u_1, \] where \(A : V \to V^*\) is selfadjoint and coercive (\(V\) compactly imbedded in \(H = L^2(\Omega ...
Panagiotopoulos, P. D., Pop, G.
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Journal of Function Spaces, Volume 2020, Issue 1, 2020., 2020 In this paper, we consider the evolutionary Navier‐Stokes equations subject to the nonslip boundary condition together with a Clarke subdifferential relation between the dynamic pressure and the normal component of the velocity. Under the Rauch condition, we use the Galerkin approximation method and a weak precompactness criterion to ensure the ...
Hicham Mahdioui +3 more
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Analysis of Stokes system with solution-dependent subdifferential boundary conditions
Fixed Point Theory and Algorithms for Sciences and Engineering, 2021 We study the Stokes problem for the incompressible fluid with mixed nonlinear boundary conditions of subdifferential type. The latter involve a unilateral boundary condition, the Navier slip condition, a nonmonotone version of the nonlinear Navier–Fujita
Jing Zhao +2 more
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A new class of fractional impulsive differential hemivariational inequalities with an application
Nonlinear Analysis, 2022 We consider a new fractional impulsive differential hemivariational inequality, which captures the required characteristics of both the hemivariational inequality and the fractional impulsive differential equation within the same framework.
Yun-hua Weng +3 more
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Nonlocal elliptic variational-hemivariational inequalities
Journal of Integral Equations and Applications, 2020 The paper provides an existence result for a variational-hemivariational inequality involving the nonlocal Laplace operator.
Migórski, Stanisław +2 more
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Partial differential hemivariational inequalities
Advances in Nonlinear Analysis, 2018 The aim of this paper is to introduce and study a new class of problems called partial differential hemivariational inequalities that combines evolution equations and hemivariational inequalities.
Liu Zhenhai +2 more
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On variational-hemivariational inequalities with nonconvex constraints [PDF]
Journal of Nonlinear and Variational Analysis, 2021 In this paper the authors study the existence of solutions of a class of variational-hemivariational inequalities in which the set of admissible elements is star-shaped with respect to a ball and not necessarily convex. More precisely, given a reflexive Banach space \(V\), compactly embedded in a Hilbert space \(H\) via an embedding \(i:V\to H\), a non-
Chadli, Ouayl, Yao, Jen-Chih
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Existence of long‐time solutions to dynamic problems of viscoelasticity with rate‐and‐state friction
ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, Volume 99, Issue 11, November 2019., 2019 Abstract We establish existence of global solutions to a dynamic problem of bilateral contact between a rigid surface and a viscoelastic body, subject to rate‐and‐state friction. The term rate‐and‐state friction describes friction laws where the friction is rate‐dependent and depends on an additional internal state variable defined on the contact ...
Elias Pipping
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Minimization arguments in analysis of variational–hemivariational inequalities
Zeitschrift für angewandte Mathematik und Physik, 2021 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Mircea Sofonea, Weimin Han
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