Hyperbolic Relaxation of a Fourth Order Evolution Equation

Author:

Colucci Renato1ORCID,Chacón Gerardo R.1ORCID

Affiliation:

1. Departamento de Matemáticas, Pontificia Universidad Javeriana, Cra. 7 No. 43-82, Bogotá, Colombia

Abstract

We propose a hyperbolic relaxation of a fourth order evolution equation, with an inertial term , where . We prove the existence of several absorbing sets having different regularities and the existence of a global attractor that is bounded in .

Publisher

Hindawi Limited

Subject

Applied Mathematics,Analysis

Cited by 4 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

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2. A qualitative description of microstructure formation and coarsening phenomena for an evolution equation;Nonlinear Differential Equations and Applications NoDEA;2017-02-18

3. Stabilization of oscillations in a phase transition model;Mathematical Methods in the Applied Sciences;2016-06-29

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