不稳定性和空间格局的新概念

IF 1.8 3区数学 Q1 MATHEMATICS, APPLIED

Nonlinear Analysis-Real World Applications Pub Date : 2025-07-01 DOI:10.1016/j.nonrwa.2025.104445

Milan Kučera , Václav Klika , Martin Fencl , Jan Eisner

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引用次数: 0

摘要

引入了非标准的不稳定性和空间模式概念，并证明了它们的鲁棒性。事实上，这些概念与数值计算或实验室中通常做的事情相对应。当我们的模式由于新引入的基本均匀稳态的不稳定性而演变时，即使它是稳定的，即使异质稳态解不存在。

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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A new concept of instability and spatial patterns

Non-standard notions of instability and spatial patterns are introduced and their robustness is proved. In fact, these notions correspond to what is really usually done in numerical computations or in a laboratory. Situations are described when our patterns evolve due to the newly introduced instability of the basic homogeneous steady state even if it is stable and even if heterogeneous stationary solutions do not exist.

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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.