Results 31 to 40 of about 677,364 (139)
On a Type of Hyperbolic Variational–Hemivariational Inequalities [PDF]
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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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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Anti-periodic solutions to a parabolic hemivariational inequality [PDF]
summary:In this paper we deal with the anti-periodic boundary value problems with nonlinearity of the form $b(u)$, where $b\in L^{\infty }_{{\rm loc}}({R}).$ Extending $b$ to be multivalued we obtain the existence of solutions to hemivariational ...
Kim, Hyun Min +2 more
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Analysis of Stokes system with solution-dependent subdifferential boundary conditions
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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Nonlocal elliptic variational-hemivariational inequalities
The paper provides an existence result for a variational-hemivariational inequality involving the nonlocal Laplace operator.
Migórski, Stanisław +2 more
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A new class of fractional impulsive differential hemivariational inequalities with an application
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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On variational-hemivariational inequalities with nonconvex constraints [PDF]
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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Partial differential hemivariational inequalities
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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Minimization arguments in analysis of variational–hemivariational inequalities
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Sofonea, Mircea, Han, Weimin
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Existence of long‐time solutions to dynamic problems of viscoelasticity with rate‐and‐state friction
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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