Results 1 to 10 of about 382 (39)
Open Mathematics, 2023 In this article, the effect of Coleman-Gurtin’s and Gurtin-Pipkin’s thermal laws on the displacement of a Timoshenko beam system with suspenders is studied.
Mukiawa Soh Edwin
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Advances in Nonlinear Analysis, 2023 We are concerned with the stabilization of the wave equation with locally distributed mixed-type damping via arbitrary local viscoelastic and frictional effects.
Jin Kun-Peng, Wang Li
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Multiplicity of positive solutions for a degenerate nonlocal problem with p-Laplacian
Advances in Nonlinear Analysis, 2021 We consider a nonlinear boundary value problem with degenerate nonlocal term depending on the Lq-norm of the solution and the p-Laplace operator. We prove the multiplicity of positive solutions for the problem, where the number of solutions doubles the ...
Candito Pasquale +3 more
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Advances in Nonlinear Analysis, 2023 In this article, we develop a new set of results based on a non-local gradient jointly inspired by the Riesz ss-fractional gradient and peridynamics, in the sense that its integration domain depends on a ball of radius δ>0\delta \gt 0 (horizon of ...
Bellido José Carlos +2 more
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Nonautonomous Dynamical Systems, 2020 In this paper, we study the global existence of solutions to some semilinear integro-differential evolution equations in Hilbert spaces with sign-varying kernels.
Jin Kun-Peng, Liang Jin, Xiao Ti-Jun
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MULTISYMPLECTIC VARIATIONAL INTEGRATORS FOR NONSMOOTH LAGRANGIAN CONTINUUM MECHANICS
Forum of Mathematics, Sigma, 2016 This paper develops the theory of multisymplectic variational integrators for nonsmooth continuum mechanics with constraints. Typical problems are the impact of an elastic body on a rigid plate or the collision of two elastic bodies.
FRANÇOIS DEMOURES +2 more
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Analytical Solutions to General Anti-Plane Shear Problems In Finite Elasticity [PDF]
, 2014 This paper presents a pure complementary energy variational method for solving anti-plane shear problem in finite elasticity. Based on the canonical duality-triality theory developed by the author, the nonlinear/nonconex partial differential equation for
Gao, David Y
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The Cauchy Problem for a One Dimensional Nonlinear Peridynamic Model [PDF]
, 2008 This paper studies the Cauchy problem for a one-dimensional nonlinear peridynamic model describing the dynamic response of an infinitely long elastic bar. The issues of local well-posedness and smoothness of the solutions are discussed.
H.A. Erbay +16 more
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A hybridizable discontinuous Galerkin phase-field model for brittle fracture [PDF]
, 2019 Phase-field models for brittle fracture consider smeared representations of cracks, which are described by a continuous field that varies abruptly in the transition zone between unbroken and broken states.
Fernández Méndez, Sonia +2 more
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On a Kelvin-Voigt Viscoelastic Wave Equation with Strong Delay [PDF]
, 2018 An initial-boundary value problem for a viscoelastic wave equation subject to a strong time-localized delay in a Kelvin & Voigt-type material law is considered. Transforming the equation to an abstract Cauchy problem on the extended phase space, a global
Andrii Anikushyn +8 more
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