Blowup of solutions for compressible viscoelastic fluid

IF 2.8 2区数学 Q1 MATHEMATICS, APPLIED

Applied Mathematics Letters Pub Date : 2025-09-29 DOI:10.1016/j.aml.2025.109774

Na Wang , Sébastien Boyaval , Yuxi Hu

引用次数: 0

Abstract

We prove finite-time blowup of classical solutions for the compressible Upper Convective Maxwell (UCM) viscoelastic fluid system. By establishing a key energy identity and adapting Sideris’ method for compressible flows, we derive a Riccati-type inequality for a momentum functional. For initial data with compactly supported perturbations satisfying a sufficiently large condition, all classical solutions lose regularity in finite time. This constitutes the first rigorous blowup result for multidimensional compressible viscoelastic fluids.

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可压缩粘弹性流体解的爆破

证明了可压缩上对流麦克斯韦粘弹性流体系统经典解的有限时间爆破。通过建立可压缩流的关键能量恒等式并采用Sideris方法，导出了动量泛函的riccati型不等式。对于具有满足足够大条件的紧支持扰动的初始数据，所有经典解在有限时间内都失去正则性。这构成了多维可压缩粘弹性流体的第一个严格爆破结果。

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

Applied Mathematics Letters 数学-应用数学

CiteScore

7.70

自引率

5.40%

发文量

347

审稿时长

10 days

期刊介绍： The purpose of Applied Mathematics Letters is to provide a means of rapid publication for important but brief applied mathematical papers. The brief descriptions of any work involving a novel application or utilization of mathematics, or a development in the methodology of applied mathematics is a potential contribution for this journal. This journal''s focus is on applied mathematics topics based on differential equations and linear algebra. Priority will be given to submissions that are likely to appeal to a wide audience.