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177 results on '"Cui, Xiufang"'

1. Vanishing viscosity limit for compressible magnetohydrodynamics equations with transverse background magnetic field

Author

Cui, Xiufang, Li, Shengxin, and Xie, Feng

Subjects
Mathematics - Analysis of PDEs
Abstract

We are concerned with the uniform regularity estimates and vanishing viscosity limit of solution to two dimensional viscous compressible magnetohydrodynamics (MHD) equations with transverse background magnetic field. When the magnetic field is assumed to be transverse to the boundary and the tangential component of magnetic field satisfies zero Neumann boundary condition, even though the velocity is imposed the no-slip boundary condition, the uniform regularity estimates of solution and its derivatives still can be achieved in suitable conormal Sobolev spaces in the half plane $\mathbb{R}^2_+$, and then the vanishing viscosity limit is justified in $L^\infty$ sense based on these uniform regularity estimates and some compactness arguments. At the same time, together with \cite{CLX21}, our results show that the transverse background magnetic field can prevent the strong boundary layer from occurring for compressible magnetohydrodynamics whether there is magnetic diffusion or not., Comment: 33 pages. arXiv admin note: text overlap with arXiv:2108.12969

Published
2022

6. Local $\varepsilon$-regularity criteria for the five dimensional stationary Navier-Stokes equations

Author

Cui, Xiufang

Subjects
Mathematics - Analysis of PDEs
Abstract

In this paper, we establish $\varepsilon$-regularity criteria at one scale for suitable weak solutions to the five dimensional stationary incompressible Navier-Stokes equations in both the unit ball $B_1$ and the unit half ball $B_1^+$, respectively, which improve previous results in [J. Math. Fluid Mech., 6(2004), pp 78--101] and [Comm. Pure Appl. Math., 41(1988), pp 437--458]. The proofs of the main results are based on an iteration argument, Campanato's method, and interpolation techniques.

Published
2021

7. Uniform regularity estimates and invisicid limit for the compressible non-resistive magnetohydrodynamics system

Author

Cui, Xiufang, Li, Shengxin, and Xie, Feng

Subjects
Mathematics - Analysis of PDEs
Abstract

We are concerned with the uniform regularity estimates of solutions to the two dimensional compressible non-resistive magnetohydrodynamics (MHD) equations with the no-slip boundary condition on velocity in the half plane. Under the assumption that the initial magnetic field is transverse to the boundary, the uniform conormal energy estimates are established for the solutions to compressible MHD equations with respect to small viscosity coefficients. As a direct consequence, we proved the inviscid limit of solutions from viscous MHD systems to the ideal MHD systems in $L^\infty$ sense. It shows that the transverse magnetic field can prevent the boundary layers from occurring in some physical regime., Comment: 57 pages

Published
2021

28. Long-time existence of nonlinear inhomogeneous compressible elastic waves

Author

Yin, Silu and Cui, Xiufang

Subjects
Mathematics - Analysis of PDEs
Abstract

In this paper, we consider the nonlinear inhomogeneous compressible elastic waves in three spatial dimensions when the density is a small disturbance around a constant state. In homogeneous case, the almost global existence was established by Klainerman-Sideris [1996_CPAM], and global existence was built by Agemi [2000_Invent. Math.] and Sideris [1996_Invent. Math., 2000_Ann. Math.] independently. Here we establish the corresponding almost global and global existence theory in the inhomogeneous case.

Published
2017

29. A novel strategy for preparation of ZrB2–SiC self-transpiration cooling coating by dilution effect of high speed laser cladding.

Author

Liu, Jin, Cui, Xiufang, Jin, Guo, Wen, Xin, Li, Dayan, Jing, Yongzhi, Li, Yang, and Qi, Yingpeng

Subjects
*HEAT flux, *SURFACE coatings, *DILUTION, *LASERS, *ALUMINUM alloys
Abstract

An ablation resistant coating with self-transpiration cooling effect was prepared on the surface of aluminum alloy by dilution effect of high speed laser cladding. The coatings mainly contain ablation resistant phases ZrB 2 and SiC, and low-melting phases Al and Al 3.21 Si 0.47. The ablation property of coatings was investigated at different heat fluxes (35.39, 70.77, 106.16, 141.54) MW⸱m−2. The mass ablation rate increased gradually, and the morphology of ablation region changed significantly with the increased heat flux. The self-transpiration cooling effect of coatings was studied by phase, morphology, and element distribution of ablation region. The self-transpiration cooling effect weakened the oxidation behavior of ZrB 2 and SiC at heat fluxes of 35.39 and 70.77 MW⸱m−2 and protected the coating from being exhausted when the heat fluxes were 106.16 and 141.54 MW⸱m−2. [ABSTRACT FROM AUTHOR]

Published
2024
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40. Synthesis of Ni/nano-Al2O3 coatings by brush plating with magnetic fields

Author

Tan Na, Liu Jin, Lou Liyan, Jin Guo, Cui Xiufang, and Wang Yang

Subjects
magnetic field, brush plating, preferred orientation, ni/nano-al2o3 coatings, Science
Abstract

In the process of electrodeposition, the magnetic field would generate the magneto hydrodynamic (MHD) effect, which affects the flow and mass transfer of hydrogen evolution. Thus, the performance of electrodeposition coatings will be affected. In this work, Ni/nano-Al2O3 coatings prepared by brush plating with magnetic fields were studied. The results show that the magnetic field indeed influences the morphology, texture and wears resistance. The morphology of Ni/Al2O3 coating is smooth and uniform; the (200) plane of Ni/Al2O3 coating is preferentially oriented in the same direction of a magnetic field; the wear resistance of Ni/Al2O3 composite coatings increases due to the uniform distribution of Al2O3 particles; and the wear mechanism of coating belongs to adhesive wear. The optimal intensity of magnetic field for Ni/Al2O3 composite coatings to obtain a good performance is 0.1 T.

Published
2021
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49. Hydrodynamic performance and structural response characteristics of the double-slotted vertical cambered V-Type otter board

Author

Xuchang Ye, Wenhua Chu, Cui Xiufang, and Gang Chen

Subjects
Numerical simulation, Aquatic Science, Type (model theory), Stability (probability), lcsh:Aquaculture. Fisheries. Angling, Otter, Stress (mechanics), 03 medical and health sciences, biology.animal, Structural response, Ecology, Evolution, Behavior and Systematics, 030304 developmental biology, lcsh:SH1-691, 0303 health sciences, Ecology, biology, Response characteristics, 04 agricultural and veterinary sciences, Performance results, Aspect ratio (image), 040102 fisheries, 0401 agriculture, forestry, and fisheries, Otter board, Size effect on structural strength, Geology, Hydrodynamic performance, Marine engineering
Abstract

Vertical cambered V-type otter boards are widely used in large and medium-sized trawlers for their good stability and adaptability to various water layers. However, limited numerical studies on the hydrodynamic performance and structural strength of this type of otter board have been published. In this study, we established the three-dimensional numerical model of the double-slotted vertical cambered V-type otter board according to its special structure and stress feature. We compare the hydrodynamic performance results of our model with those of previous experiments. Using this model, we analyzed the influence of parameters such as attack angle, aspect ratio, dihedral, and deflector angles on its hydrodynamic performance. Moreover, the structural response characteristics of the otter board under typical working conditions were studied. We believe our results will provide theoretical reference for the structural design and optimization of the vertical cambered V-type otter board.

Published
2020

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