Regularity criterion for a nonhomogeneous incompressible Ginzburg-Landau-Navier-Stokes system
Applications of Mathematics, Tome 66 (2021) no. 3, pp. 373-382
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We prove a regularity criterion for a nonhomogeneous incompressible Ginzburg-Landau-Navier-Stokes system with the Coulomb gauge in $\mathbb R^3$. It is proved that if the velocity field in the Besov space satisfies some integral property, then the solution keeps its smoothness.
DOI :
10.21136/AM.2020.0298-19
Classification :
35Q30, 35Q56, 76D03, 82D55
Keywords: Ginzburg-Landau; Navier-Stokes; regularity criterion
Keywords: Ginzburg-Landau; Navier-Stokes; regularity criterion
@article{10_21136_AM_2020_0298_19,
author = {Pan, Nana and Fan, Jishan and Zhou, Yong},
title = {Regularity criterion for a nonhomogeneous incompressible {Ginzburg-Landau-Navier-Stokes} system},
journal = {Applications of Mathematics},
pages = {373--382},
publisher = {mathdoc},
volume = {66},
number = {3},
year = {2021},
doi = {10.21136/AM.2020.0298-19},
mrnumber = {4263156},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.21136/AM.2020.0298-19/}
}
TY - JOUR AU - Pan, Nana AU - Fan, Jishan AU - Zhou, Yong TI - Regularity criterion for a nonhomogeneous incompressible Ginzburg-Landau-Navier-Stokes system JO - Applications of Mathematics PY - 2021 SP - 373 EP - 382 VL - 66 IS - 3 PB - mathdoc UR - http://geodesic.mathdoc.fr/articles/10.21136/AM.2020.0298-19/ DO - 10.21136/AM.2020.0298-19 LA - en ID - 10_21136_AM_2020_0298_19 ER -
%0 Journal Article %A Pan, Nana %A Fan, Jishan %A Zhou, Yong %T Regularity criterion for a nonhomogeneous incompressible Ginzburg-Landau-Navier-Stokes system %J Applications of Mathematics %D 2021 %P 373-382 %V 66 %N 3 %I mathdoc %U http://geodesic.mathdoc.fr/articles/10.21136/AM.2020.0298-19/ %R 10.21136/AM.2020.0298-19 %G en %F 10_21136_AM_2020_0298_19
Pan, Nana; Fan, Jishan; Zhou, Yong. Regularity criterion for a nonhomogeneous incompressible Ginzburg-Landau-Navier-Stokes system. Applications of Mathematics, Tome 66 (2021) no. 3, pp. 373-382. doi: 10.21136/AM.2020.0298-19
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