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

Jianwei Dong; Junhui Zhu; Litao Zhang

Czechoslovak Mathematical Journal (2024)

  • Volume: 74, Issue: 1, page 29-43
  • ISSN: 0011-4642

Abstract

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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.

How to cite

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Dong, Jianwei, Zhu, Junhui, and Zhang, Litao. "Non-existence of global classical solutions to 1D compressible heat-conducting micropolar fluid." Czechoslovak Mathematical Journal 74.1 (2024): 29-43. <http://eudml.org/doc/299242>.

@article{Dong2024,
abstract = {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.},
author = {Dong, Jianwei, Zhu, Junhui, Zhang, Litao},
journal = {Czechoslovak Mathematical Journal},
keywords = {micoropolar fluid; global classical solution; non-existence},
language = {eng},
number = {1},
pages = {29-43},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Non-existence of global classical solutions to 1D compressible heat-conducting micropolar fluid},
url = {http://eudml.org/doc/299242},
volume = {74},
year = {2024},
}

TY - JOUR
AU - Dong, Jianwei
AU - Zhu, Junhui
AU - Zhang, Litao
TI - Non-existence of global classical solutions to 1D compressible heat-conducting micropolar fluid
JO - Czechoslovak Mathematical Journal
PY - 2024
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 74
IS - 1
SP - 29
EP - 43
AB - 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.
LA - eng
KW - micoropolar fluid; global classical solution; non-existence
UR - http://eudml.org/doc/299242
ER -

References

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