Non-existence of global classical solutions to 1D compressible heat-conducting micropolar fluid

被引：0

作者：

Dong, Jianwei ^{[1
]}

Zhu, Junhui ^{[1
]}

Zhang, Litao ^{[1
]}

机构：

[1] Zhengzhou Univ Aeronaut, Sch Math, 100 Sci Ave, Zhengzhou 450015, Peoples R China

来源：

CZECHOSLOVAK MATHEMATICAL JOURNAL | 2024年 / 74卷 / 01期

关键词：

micoropolar fluid; global classical solution; non-existence; NONHOMOGENEOUS BOUNDARY-CONDITIONS; VISCOUS MICROPOLAR; SMOOTH SOLUTIONS; CAUCHY-PROBLEM; BLOW-UP; MODEL; EXISTENCE; SINGULARITIES; TEMPERATURE; FLOW;

D O I：

10.21136/CMJ.2023.0196-22

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study the non-existence of global classical solutions to 1D compressible heat-conducting micropolar fluid without viscosity. We first show that the life span of the classical solutions with decay at far fields must be finite for the 1D Cauchy problem if the initial momentum weight is positive. Then, we present several sufficient conditions for the non-existence of global classical solutions to the 1D initial-boundary value problem on [0, 1]. To prove these results, some new average quantities are introduced.

引用

页码：29 / 43

页数：15

共 34 条

[1] Local existence for viscous reactive micropolar real gas flow and thermal explosion with homogeneous boundary conditions [J].

Basic-Sisko, Angela ;

Drazic, Ivan .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2022, 509 (02)

[2] One-dimensional model and numerical solution to the viscous and heat-conducting micropolar real gas flow with homogeneous boundary conditions [J].

Basic-Sisko, Angela ;

Drazic, Ivan ;

Simcic, Loredana .

MATHEMATICS AND COMPUTERS IN SIMULATION, 2022, 195 :71-87

[3] Global solution to a one-dimensional model of viscous and heat-conducting micropolar real gas flow [J].

Basic-Sisko, Angela ;

Drazic, Ivan .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2021, 495 (01)

[4] Uniqueness of generalized solution to micropolar viscous real gas flow with homogeneous boundary conditions [J].

Basic-Sisko, Angela ;

Drazic, Ivan .

MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2021, 44 (06) :4330-4341

[5] The limits of coefficients of angular viscosity and microrotation viscosity to one-dimensional compressible Navier-Stokes equations for micropolar fluids model [J].

Chang, Shengchuang ;

Duan, Ran .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2022, 516 (01)

[6] Stationary solutions to the one-dimensional micropolar fluid model in a half line: Existence, stability and convergence rate [J].

Cui, Haibo ;

Yin, Haiyan .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2017, 449 (01) :464-489

[7]

[董建伟 Dong Jianwei], 2020, [中国科学. 数学, Scientia Sinica Mathematica], V50, P873, DOI 10.1360/n012018-00134

[8] Blow-Up for the Compressible Isentropic Navier-Stokes-Poisson Equations [J].

Dong, Jianwei ;

Zhu, Junhui ;

Wang, Yanping .

CZECHOSLOVAK MATHEMATICAL JOURNAL, 2020, 70 (01) :9-19

[9] Singularities of solutions to compressible Euler equations with damping [J].

Dong, Jianwei ;

Xue, Hongxia ;

Lou, Guangpu .

EUROPEAN JOURNAL OF MECHANICS B-FLUIDS, 2019, 76 :272-275

[10] Blow-up of Smooth Solutions to the Cauchy Problem for the Viscous Two-Phase Model [J].

Dong, Jianwei ;

Zhu, Junhui ;

Xue, Hongxia .

MATHEMATICAL PHYSICS ANALYSIS AND GEOMETRY, 2018, 21 (03)

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