Results 31 to 40 of about 214 (111)
Attractors of multivalued semiflows generated by differential inclusions and their approximations
Abstract and Applied Analysis, Volume 5, Issue 1, Page 33-46, 2000., 2000 We prove the existence of global compact attractors for differential inclusions and obtain some results concerning the continuity and upper semicontinuity of the attractors for approximating and perturbed inclusions. Applications are given to a model of regional economic growth.
Alexei V. Kapustian, José Valero
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Open Mathematics, 2021 The incompressible 2D stochastic Navier-Stokes equations with linear damping are considered in this paper. Based on some new calculation estimates, we obtain the existence of random attractor and the upper semicontinuity of the random attractors as ε→0 ...
Li Haiyan, Wang Bo
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Inertial manifolds and stabilization of nonlinear beam equations with Balakrishnan‐Taylor damping
Abstract and Applied Analysis, Volume 1, Issue 1, Page 83-102, 1996., 1996 In this paper we study a hinged, extensible, and elastic nonlinear beam equation with structural damping and Balakrishnan‐Taylor damping with the full exponent 2(n + β) + 1. This strongly nonlinear equation, initially proposed by Balakrishnan and Taylor in 1989, is a very general and useful model for large aerospace structures.
Yuncheng You
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On a fractional Schrödinger-Poisson system with strong singularity
Open Mathematics, 2021 We investigate a fractional Schrödinger-Poisson system with strong singularity as follows: (−Δ)su+V(x)u+λϕu=f(x)u−γ,x∈R3,(−Δ)tϕ=u2,x∈R3,u>0,x∈R3,\left\{\begin{array}{ll}{\left(-\Delta )}^{s}u+V\left(x)u+\lambda \phi u=f\left(x){u}^{-\gamma },& x\in ...
Yu Shengbin, Chen Jianqing
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International Journal of Mathematics and Mathematical Sciences, Volume 18, Issue 1, Page 1-24, 1995., 1993 For nonlinear parabolic evolution equations, it is proved that, under the assumptions of local Lipschitz continuity of nonlinearity and the dissipativity of semiflows, there exist approximate inertial manifolds (AIM) in the energy space and that the approximate inertial manifolds are constructed as the graph of the steady‐state determining mapping ...
Yuncheng You
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The evolution of immersed locally convex plane curves driven by anisotropic curvature flow
Advances in Nonlinear Analysis, 2022 In this article, we study the evolution of immersed locally convex plane curves driven by anisotropic flow with inner normal velocity V=1αψ(x)καV=\frac{1}{\alpha }\psi \left(x){\kappa }^{\alpha } for α1\alpha \gt 1, where x∈[0,2mπ]x\in \left[0,2m\pi ] is
Wang Yaping, Wang Xiaoliu
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Spatial estimates for a class of hyperbolic equations with nonlinear dissipative boundary conditions
Boundary Value Problems, 2011 This paper is concerned with investigating the spatial behavior of solutions for a class of hyperbolic equations in semi-infinite cylindrical domains, where nonlinear dissipative boundary conditions imposed on the lateral surface of the cylinder.
Tahamtani Faramarz, Peyravi Amir
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Source term model for elasticity system with nonlinear dissipative term in a thin domain
Demonstratio Mathematica, 2022 This article establishes an asymptotic behavior for the elasticity systems with nonlinear source and dissipative terms in a three-dimensional thin domain, which generalizes some previous works.
Dilmi Mohamed +3 more
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Existence of global solutions to a quasilinear wave equation with general nonlinear damping
Electronic Journal of Differential Equations, 2002 In this paper we prove the existence of a global solution and study its decay for the solutions to a quasilinear wave equation with a general nonlinear dissipative term by constructing a stable set in $H^{2}cap H_{0}^{1}$.
Mohammed Aassila, Abbes Benaissa
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Advanced Nonlinear StudiesResorting to the spectral analysis of the 4 × 4 matrix spectral problem, we construct a 4 × 4 matrix Riemann–Hilbert problem to solve the initial value problem for the Hermitian symmetric space derivative nonlinear Schrödinger equation.
Chen Mingming, Geng Xianguo, Liu Huan
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