Remarks on blowup of solutions for one-dimensional compressible Navier-Stokes equations with Maxwell's law

被引：2

作者：

Dong, Jianwei ^{[1
]}

Zhang, Qiao ^{[1
]}

Yang, Yong ^{[1
]}

机构：

[1] Zhengzhou Univ Aeronaut, Sch Math, Zhengzhou 450015, Peoples R China

来源：

MATHEMATISCHE NACHRICHTEN | 2023年 / 296卷 / 10期

关键词：

compressible Navier-Stokes equations; Maxwell's law; blowup; GLOBAL EXISTENCE; SMOOTH SOLUTIONS; EULER EQUATIONS; FLUID; SINGULARITIES;

D O I：

10.1002/mana.202200260

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this note, we present some blowup results of solutions to the one-dimensional compressible Navier-Stokes equations with Maxwell's law. First, we improve the blowup result of Hu and Wang [Math. Nachr. 92 (2019), 826-840] with initial density away from vacuum by removing two restrictions. Next, we give a blowup result for the solutions with decay at far fields. Finally, we construct some special analytical solutions to exhibit the blowup or non-blowup phenomena for the relaxed system.

引用

页码：4523 / 4532

页数：10

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