Rescaling invariance exponents for the Lane-Emden heat flow system

IF 1.8 3区数学 Q1 MATHEMATICS, APPLIED

Nonlinear Analysis-Real World Applications Pub Date : 2025-10-10 DOI:10.1016/j.nonrwa.2025.104515

Haochuan Huang , Rui Huang , Gege Liu , Jingxue Yin

引用次数: 0

Abstract

This paper is concerned with the existence and asymptotic behavior of solutions for the Lane-Emden heat flow system. Our arguments are based on the upper and lower solutions method, which is different from the semigroup techniques and a fixed point theorem in previous works [3, 11]. It is worthy of mentioning that our results do not impose the integrability restrictions on initial values and thus the decay rate exponents of the initial values can be selected as the rescaling invariance exponents for the Lane-Emden heat flow system.

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Lane-Emden热流系统不变性指数的重标化

本文研究了Lane-Emden热流系统解的存在性和渐近性。我们的论证是基于上下解的方法，不同于以往作品[3,11]中的半群技术和不动点定理。值得一提的是，我们的结果没有对初值施加可积性限制，因此可以选择初值的衰减率指数作为Lane-Emden热流系统的重标化不变性指数。

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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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.