Results 1 to 10 of about 42 (35)
Convergence from Atomistic Model to Peierls-Nabarro Model for Dislocations in Bilayer System with Complex Lattice [PDF]
Communications in Mathematical Sciences, 2021 In this paper, we prove the convergence from the atomistic model to the Peierls–Nabarro (PN) model of two-dimensional bilayer system with complex lattice.
Yahong Yang, T. Luo, Y. Xiang
semanticscholar +1 more source
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
doaj +1 more source
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
doaj +1 more source
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
doaj +1 more source
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
doaj +1 more source
Boundary Value Problems, 2014 This study is dedicated to some basic theorems in the thermoelastodynamics of microstretch bodies. Our intention is to show that the presence of the microstretch does not affect the main characteristics of the mixed initial boundary value problem for ...
M. Marin, R. Agarwal, I. Abbas
semanticscholar +2 more sources
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
doaj +1 more source
Topological arguments for an elliptic equation involving the fractional Laplacian
Boundary Value Problems, 2014 In this paper, we consider a fractional Nirenberg-type problem involving σ-exponent of the Laplacian on the standard n-dimensional spheres Sn. Using an algebraic topological method and the theory of the critical points at infinity, we provide a variety ...
Mohammed Ali Al-Ghamdi +2 more
semanticscholar +2 more sources
MATHEMATICAL MODELLING OF SOIL MASSIF'S DEFORMATIONS UNDER ITS DRAINAGE
International Journal of Apllied Mathematics, 2019 Mathematical models in the assessment of water saturated soil massifs’ deformations under their drainage have been developed and substantiated. An algorithm for the construction of hydrodynamic networks has been developed and the transformation of ...
M. Kuzlo, V. S. Moshynskyi, P. Martyniuk
semanticscholar +1 more source
, 2020 In this paper, a stochastic second-order two-scale (SSOTS) method is proposed for predicting the non-deterministic mechanical properties of composites with random interpenetrating phase.
Hao Dong
semanticscholar +1 more source