Well-posedness and stability of a nonlinear plate model with energy damping

IF 1.8 3区数学 Q1 MATHEMATICS, APPLIED

Nonlinear Analysis-Real World Applications Pub Date : 2024-12-24 DOI:10.1016/j.nonrwa.2024.104291

Eduardo H. Gomes Tavares , Linfang Liu , Vando Narciso , JinYun Yuan

引用次数: 0

Abstract

A plate model with nonlinear damping is considered. This model presents a new damping mechanism which is inspired by a combination between an energy damping mechanism and a nonlinear monotonic damping mechanism. The focus of this work is to present the well-posedness and stability of solutions for this model. In particular, the solutions will decay at a polynomial rate, which unifies, in some sense, the decay rates obtained in previous models.

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来源期刊

Nonlinear Analysis-Real World Applications 数学-应用数学

CiteScore

3.80

自引率

5.00%

发文量

176

审稿时长

59 days

期刊介绍： Nonlinear Analysis: Real World Applications welcomes all research articles of the highest quality with special emphasis on applying techniques of nonlinear analysis to model and to treat nonlinear phenomena with which nature confronts us. Coverage of applications includes any branch of science and technology such as solid and fluid mechanics, material science, mathematical biology and chemistry, control theory, and inverse problems. The aim of Nonlinear Analysis: Real World Applications is to publish articles which are predominantly devoted to employing methods and techniques from analysis, including partial differential equations, functional analysis, dynamical systems and evolution equations, calculus of variations, and bifurcations theory.