标量反应-扩散方程的分数扰动的无界吸引子的连续性

IF 1.4 4区数学 Q1 MATHEMATICS

Journal of Dynamics and Differential Equations Pub Date : 2024-01-23 DOI:10.1007/s10884-023-10341-8

Maykel Belluzi, Matheus C. Bortolan, Ubirajara Castro, Juliana Fernandes

引用次数: 0

摘要

在这项工作中，我们研究了带有非耗散非线性项的标量反应-扩散方程的分数扰动系列的无界吸引子的连续性（包括上半连续性和下半连续性），其定义使用了豪斯多夫半距。

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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Continuity of the Unbounded Attractors for a Fractional Perturbation of a Scalar Reaction-Diffusion Equation

In this work we study the continuity (both upper and lower semicontinuity), defined using the Hausdorff semidistance, of the unbounded attractors for a family of fractional perturbations of a scalar reaction-diffusion equation with a non-dissipative nonlinear term.

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来源期刊

Journal of Dynamics and Differential Equations 数学-数学

CiteScore

3.30

自引率

7.70%

发文量

116

审稿时长

>12 weeks

期刊介绍： Journal of Dynamics and Differential Equations serves as an international forum for the publication of high-quality, peer-reviewed original papers in the field of mathematics, biology, engineering, physics, and other areas of science. The dynamical issues treated in the journal cover all the classical topics, including attractors, bifurcation theory, connection theory, dichotomies, stability theory and transversality, as well as topics in new and emerging areas of the field.