Local-in-time existence for the non-resistive incompressible magneto-micropolar fluids

Peixin Zhang; Mingxuan Zhu

Applications of Mathematics (2022)

  • Volume: 67, Issue: 2, page 199-208
  • ISSN: 0862-7940

Abstract

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We establish the local-in-time existence of a solution to the non-resistive magneto-micropolar fluids with the initial data u 0 ∈ H s - 1 + ε , w 0 ∈ H s - 1 and b 0 ∈ H s for s > 3 2 and any 0 < ε < 1 . The initial regularity of the micro-rotational velocity w is weaker than velocity of the fluid u .

How to cite

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Zhang, Peixin, and Zhu, Mingxuan. "Local-in-time existence for the non-resistive incompressible magneto-micropolar fluids." Applications of Mathematics 67.2 (2022): 199-208. <http://eudml.org/doc/297913>.

@article{Zhang2022,
abstract = {We establish the local-in-time existence of a solution to the non-resistive magneto-micropolar fluids with the initial data $u_0\in H^\{s-1+\varepsilon \}$, $w_0\in H^\{s-1\}$ and $b_0\in H^\{s\}$ for $s>\frac\{3\}\{2\}$ and any $0<\varepsilon <1$. The initial regularity of the micro-rotational velocity $w$ is weaker than velocity of the fluid $u$.},
author = {Zhang, Peixin, Zhu, Mingxuan},
journal = {Applications of Mathematics},
keywords = {non-resistive magneto-micropolar fluid; local existence},
language = {eng},
number = {2},
pages = {199-208},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Local-in-time existence for the non-resistive incompressible magneto-micropolar fluids},
url = {http://eudml.org/doc/297913},
volume = {67},
year = {2022},
}

TY - JOUR
AU - Zhang, Peixin
AU - Zhu, Mingxuan
TI - Local-in-time existence for the non-resistive incompressible magneto-micropolar fluids
JO - Applications of Mathematics
PY - 2022
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 67
IS - 2
SP - 199
EP - 208
AB - We establish the local-in-time existence of a solution to the non-resistive magneto-micropolar fluids with the initial data $u_0\in H^{s-1+\varepsilon }$, $w_0\in H^{s-1}$ and $b_0\in H^{s}$ for $s>\frac{3}{2}$ and any $0<\varepsilon <1$. The initial regularity of the micro-rotational velocity $w$ is weaker than velocity of the fluid $u$.
LA - eng
KW - non-resistive magneto-micropolar fluid; local existence
UR - http://eudml.org/doc/297913
ER -

References

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