具有可变指数的勒贝格空间：纳维耶-斯托克斯方程的一些应用

IF 0.8 3区数学 Q2 MATHEMATICS

Positivity Pub Date : 2024-03-18 DOI:10.1007/s11117-024-01043-6

Diego Chamorro, Gastón Vergara-Hermosilla

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引用次数: 0

摘要

在这篇文章中，我们从可变指数的 Lebesgue 空间的角度研究了与不可压缩三维 Navier-Stokes 方程有关的一些问题。这些函数空间具有一些特殊性，使其与通常的 Lebesgue 空间截然不同：事实上，分析中的一些最经典工具在此框架中无法使用。我们将在此提出一些想法，以克服在此背景下出现的一些困难，从而获得与这一演化问题的温和解的存在有关的不同结果。

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Lebesgue spaces with variable exponent: some applications to the Navier–Stokes equations

In this article we study some problems related to the incompressible 3D Navier–Stokes equations from the point of view of Lebesgue spaces of variable exponent. These functional spaces present some particularities that make them quite different from the usual Lebesgue spaces: indeed, some of the most classical tools in analysis are not available in this framework. We will give here some ideas to overcome some of the difficulties that arise in this context in order to obtain different results related to the existence of mild solutions for this evolution problem.

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来源期刊

Positivity 数学-数学

CiteScore

1.80

自引率

10.00%

发文量

审稿时长

>12 weeks

期刊介绍： The purpose of Positivity is to provide an outlet for high quality original research in all areas of analysis and its applications to other disciplines having a clear and substantive link to the general theme of positivity. Specifically, articles that illustrate applications of positivity to other disciplines - including but not limited to - economics, engineering, life sciences, physics and statistical decision theory are welcome. The scope of Positivity is to publish original papers in all areas of mathematics and its applications that are influenced by positivity concepts.