REGULARITY CRITERIA FOR THE p-HARMONIC AND OSTWALD-DE WAELE FLOWS

Fan, Jishan; Nakamura, Gen; Zhou, Yong

doi:10.4134/bkms.2015.52.2.619

Bulletin of the Korean Mathematical Society

2015

DOI: 10.4134/bkms.2015.52.2.619

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REGULARITY CRITERIA FOR THE p-HARMONIC AND OSTWALD-DE WAELE FLOWS

Jishan Fan¹,

Gen Nakamura²,

Yong Zhou³

Abstract: Abstract. This paper considers regularity for the p-harmonic and Ostwald-de Waele flows. Some Serrin's type regularity criteria are established for 1 < p < 2.

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The average concentration function of dissolved copper in Hun River, Liaoning province, Northeastern China

Zhang

Liu

et al. 2017

Environ Sci Pollut Res

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Water samples were collected from Hun River to research the change in the concentration of dissolved copper and its distribution as well as accumulation during the dry season in 2013. The mean concentrations of dissolved copper in Hun River were 0.1057-0.1533 mg/l during the dry season. The results indicated that the most severe dissolved copper pollution were associated with the mining area, industrial area, and living area along the Hun River. The results also indicated that controlling the sources of copper pollution effectively reduced the concentration of dissolved copper in Hun River. The concentration function about time and spatial coordinate, average concentration function about time coordinate, average concentration function about spatial coordinate, and bounded mean oscillation space were used to evaluate the extent of copper pollution in Hun River. The error function, quartiles, and curve fitting tool were performed to determine the stations with high concentration of dissolved copper in Hun River. We furthermore obtained the upper and lower bounds of the error between two kinds of bounded mean oscillation spaces to explore the migration of copper pollution in Hun River. The results of the average concentration function and bounded mean oscillation space revealed that the long-term control measures of copper pollution and short-term control measures of copper pollution, the control of copper pollution in large watershed, and the control of copper pollution in small watershed in Hun River should be combined with each other. The strict policy and pollution control strategy should be implemented to ensure that the water of the Hun River meets the natural environment standard for the growth of aquatic life and human.

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The average concentration function of dissolved copper in Hun River, Liaoning province, Northeastern China

Zhang

Liu

et al. 2017

Environ Sci Pollut Res

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Serrin type regularity criterion for the shear thinning fluids via the velocity field

Zhang

Wang

2021

Applied Mathematics Letters

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On scattering of a material over the Ostwald-de Waele fluid bed

2016

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REGULARITY CRITERIA FOR THE p-HARMONIC AND OSTWALD-DE WAELE FLOWS

Abstract: Abstract. This paper considers regularity for the p-harmonic and Ostwald-de Waele flows. Some Serrin's type regularity criteria are established for 1 < p < 2.

Cited by 3 publications

References 20 publications

The average concentration function of dissolved copper in Hun River, Liaoning province, Northeastern China

The average concentration function of dissolved copper in Hun River, Liaoning province, Northeastern China

Serrin type regularity criterion for the shear thinning fluids via the velocity field

On scattering of a material over the Ostwald-de Waele fluid bed

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