退化Klein-Gordon-Schrödinger-type系统的全局吸引子

IF 0.5 4区数学 Q4 MATHEMATICS, APPLIED

Dynamical Systems-An International Journal Pub Date : 2022-11-17 DOI:10.1080/14689367.2022.2145181

M. Poulou, N. Zographopoulos

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引用次数: 0

摘要

在本文中，我们研究了定义在有界域中的退化Klein–Gordon–Schrödinger型系统解的长期行为。首先，我们证明了初始数据上解的存在性、唯一性和连续性，然后证明了解的渐近紧性，最后证明了全局紧吸引子的存在性。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Global attractor for a degenerate Klein–Gordon–Schrödinger-type system

In this paper, we study the long-time behaviour of solutions of a degenerate Klein–Gordon–Schrödinger-type system which is defined in a bounded domain. First, we proved the existence, uniqueness and continuity of the solutions on the initial data, then the asymptotic compactness of the solutions and finally the existence of a global compact attractor.

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来源期刊

Dynamical Systems-An International Journal 物理-力学

CiteScore

0.90

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： Dynamical Systems: An International Journal is a world-leading journal acting as a forum for communication across all branches of modern dynamical systems, and especially as a platform to facilitate interaction between theory and applications. This journal publishes high quality research articles in the theory and applications of dynamical systems, especially (but not exclusively) nonlinear systems. Advances in the following topics are addressed by the journal: •Differential equations •Bifurcation theory •Hamiltonian and Lagrangian dynamics •Hyperbolic dynamics •Ergodic theory •Topological and smooth dynamics •Random dynamical systems •Applications in technology, engineering and natural and life sciences