Search results for: Fuyi Xu

Items from 1 to 20 out of 32 results

article

TEAD1, MYO7A and NDUFC2 are novel functional genes associated with glucose metabolism in BXD recombinant inbred population

Yingying Wu, Chao Zhang, Shaofei Duan, Yushan Li, more

Diabetes, Obesity and Metabolism > 26 > 5 > 1775 - 1788

Aim The liver is an important metabolic organ that governs glucolipid metabolism, and its dysfunction may cause non‐alcoholic fatty liver disease, type 2 diabetes mellitus, dyslipidaemia, etc. We aimed to systematic investigate the key factors related to hepatic glucose metabolism, which may be beneficial for understanding the underlying pathogenic mechanisms for obesity and diabetes mellitus. ...

article

Systems genetics analysis reveals the common genetic basis for pain sensitivity and cognitive function

Fuyi Xu, Anran Chen, Shuijing Pan, Yingying Wu, more

CNS Neuroscience & Therapeutics > 30 > 2 > n/a - n/a

Background There is growing evidence of a strong correlation between pain sensitivity and cognitive function under both physiological and pathological conditions. However, the detailed mechanisms remain largely unknown. In the current study, we sought to explore candidate genes and common molecular mechanisms underlying pain sensitivity and cognitive function with a transcriptome‐wide association...

article

The optimal decay rates of classical solutions to the 3D compressible Navier‐Stokes equations

Fuyi Xu, Meiling Chi, Jiqiang Jiang, Yujun Cui

ZAMM ‐ Journal of Applied Mathematics and Mechanics / Zeitschrift für... > 101 > 10 > n/a - n/a

In this paper, we revisit the optimal time decay rates of classical solutions to the 3D compressible Navier‐Stokes equations. Based on a global priori estimate, the optimal time decay rates of the solution and its first order derivative in L²‐norm are obtained if

H^{l}

‐norm

(l \geq 4)

of the initial perturbation around a constant state is small enough and

∥ (ρ_{0} - \bar{ρ}, m_{0}) ∥_{{\dot{B}}_{1, \infty}^{- s}}^{ℓ}

is bounded for

s \in [0, \frac{1}{2})

. Compared...

article

A multiplex SNP genotyping by allele‐specificspecific PCR based on stem‐loop and universal fluorescent primers of Chr1^daxin mice

Maochun Wang, Fuyi Xu, Ke Chen, Xiaoning Li, more

ELECTROPHORESIS > 40 > 11 > 1600 - 1605

Single nucleotide polymorphisms (SNPs) are one of the most common markers in mammals. Rapid, accurate, and multiplex typing of SNPs is critical for subsequent biological and genetic research. In this study, we have developed a novel method for multiplex genotyping SNPs in mice. The method involves allele‐specific PCR amplification of genomic DNA with two stem‐loop primers accompanied by two different...

article

A scaling invariant regularity criterion for the 3D incompressible magneto-hydrodynamics equations

Fuyi Xu, Xinliang Li, Yujun Cui, Yonghong Wu

Zeitschrift für angewandte Mathematik und Physik > 2017 > 68 > 6 > 1-8

In this paper, we are concerned with the regularity criterion for weak solutions to the 3D incompressible MHD equations. We show that if any two groups functions of $$(\partial _{1}u_{1}, \partial _{1}b_{1})$$ ( ∂ 1 u 1 , ∂ 1 b 1 ) , $$(\partial _{2}u_{2}, \partial _{2}b_{2})$$ ( ∂ 2 u 2 , ∂ 2 b 2 ) and $$(\partial _{3}u_{3}, \partial _{3}b_{3})$$ ( ∂ 3...

article

Sequence analysis of chromosome 1 revealed different selection patterns between Chinese wild mice and laboratory strains

Fuyi Xu, Shixian Hu, Tianzhu Chao, Maochun Wang, more

Molecular Genetics and Genomics > 2017 > 292 > 5 > 1111-1121

Both natural and artificial selection play a critical role in animals’ adaptation to the environment. Detection of the signature of selection in genomic regions can provide insights for understanding the function of specific phenotypes. It is generally assumed that laboratory mice may experience intense artificial selection while wild mice more natural selection. However, the differences of selection...

article

Global Existence and the Optimal Decay Rates for the Three Dimensional Compressible Nematic Liquid Crystal Flow

Fuyi Xu, Xinguang Zhang, Yonghong Wu, Lishan Liu

Acta Applicandae Mathematicae > 2017 > 150 > 1 > 67-80

The present paper is dedicated to the study of the Cauchy problems for the three-dimensional compressible nematic liquid crystal flow. We obtain the global existence and the optimal decay rates of smooth solutions to the system under the condition that the initial data in lower regular spaces are close to the constant equilibrium state. Our main method is based on the spectral analysis and the smooth...

article

The optimal convergence rates for the multi‐dimensional compressible viscoelastic flows

Fuyi Xu, Xinguang Zhang, Yonghong Wu, Lishan Liu

ZAMM ‐ Journal of Applied Mathematics and Mechanics / Zeitschrift für... > 96 > 12 > 1490 - 1504

In this paper, we are concerned with the multi‐dimensional (

N \geq 3

) compressible viscoelastic flows in the whole space. We prove the optimal convergence rates of strong solutions to the system for the initial data close to a stable equilibrium state in critical Besov spaces. Our main ideas are based on the low‐high frequency decomposition and the smooth effect of dissipative operator.

article

Global existence and temporal decay for the 3D compressible Hall-magnetohydrodynamic system

Fuyi Xu, Xinguang Zhang, Yonghong Wu, Lishan Liu

Journal of Mathematical Analysis and Applications > 2016 > 438 > 1 > 285-310

In this paper, we are concerned with the 3D compressible Hall-magnetohydrodynamic system in the whole space. We prove the global existence and temporal decay rates of the solutions to the system when the initial data are close to a stable equilibrium state by using a pure energy method.

article

The Optimal Convergence Rates for the Multi-dimensional Chemotaxis Model in Critical Besov Spaces

Xiaoyan Guan, Shaoli Wang, Ye Lv, Fuyi Xu

Acta Applicandae Mathematicae > 2016 > 143 > 1 > 91-104

In this paper, we are concerned with the Cauchy problem to the multi-dimensional ( N ≥ 4 $N\geq4$ ) chemotaxis model. We prove the optimal convergence rates of the strong solutions to the system for initial data close to a stable equilibrium state in critical Besov spaces. Our main ideas are based on the low-high frequency decomposition and the smooth effect of dissipative operator.

article

Well‐posedness for the density‐dependent incompressible flow of liquid crystals

Fuyi Xu, Shengang Hao, Jia Yuan

Mathematical Methods in the Applied Sciences > 38 > 13 > 2680 - 2702

In this paper, we are concerned with the Cauchy problem for the density‐dependent incompressible flow of liquid crystals in thewhole space (N ≥ 2).We prove the localwell‐posedness for large initial velocity field and director field of the system in critical Besov spaces if the initial density is close to a positive constant. We show also the global well‐posedness for this system under a smallness...

article

Global well-posedness for the 2D fluid system with the linear Soret effect and Yudovich's type data

Fuyi Xu, Jia Yuan, Yonghong Wu

Journal of Mathematical Analysis and Applications > 2015 > 422 > 2 > 940-959

In this paper, we are concerned with the Cauchy problem of the two-dimensional (2D) fluid system with the linear Soret effect and Yudovich's type data. We obtain global unique solution for this system without imposing any smallness conditions on the initial data. Our methods mainly rely upon Littlewood–Paley theory and loss of regularity estimates.

article

On the well-posedness for a multi-dimensional compressible viscous liquid–gas two-phase flow model in critical spaces

Fuyi Xu, Jia Yuan

Zeitschrift für angewandte Mathematik und Physik > 2015 > 66 > 5 > 2395-2417

This paper is dedicated to study of the Cauchy problem for a multi-dimensional ( $${N \geq 2}$$ N ≥ 2 ) compressible viscous liquid–gas two-phase flow model. We prove the local well-posedness of the system for large data in critical Besov spaces based on the L ^p framework under the sole assumption that the initial liquid mass is bounded away from zero.

article

On the global well-posedness for the 2D Euler–Boussinesq system

Fuyi Xu, Jia Yuan

Nonlinear Analysis: Real World Applications > 2014 > 17 > Complete > 137-146

This paper is dedicated to the study of the Cauchy problem for the 2D Euler–Boussinesq system. We obtain the global existence of a unique solution for this system without any smallness conditions imposed on the data. In particular, we prove the uniqueness of the system with nondecaying initial vorticity at infinity. Our methods mainly rely upon loss of regularity estimate and Bony’s paraproduct.

article

Global mild solutions of the micropolar fluid system in critical spaces

Fuyi Xu, Jia Yuan

Applicationes Mathematicae > 2013 > 40 > 1 > 21-29

We prove the global in time existence of a small solution for the 3D micropolar fluid system in critical Fourier-Herz spaces by using the Fourier localization method and Littlewood-Paley theory.

article

Regularity criterion of weak solution for the 3D Magneto-micropolar fluid equations in Besov spaces

Fuyi Xu

Communications in Nonlinear Science and Numerical Simulation > 2012 > 17 > 6 > 2426-2433

In this paper, we consider the 3D Magneto-micropolar fluid equations in Besov spaces. We improve and extend some known regularity criterion of weak solution for the 3D Magneto-micropolar fluid equations by means of the Fourier localization technique and Bony’s para-product decomposition.

article

Logarithmically improved regularity criteria for the micropolar fluid equations

Fuyi Xu, Xiaojing Xu, Jia Yuan

Applicationes Mathematicae > 2012 > 39 > 3 > 315-328

We discuss the 3D incompressible micropolar fluid equations, and give logarithmically improved regularity criteria in terms of both the velocity field and the pressure in Morrey-Campanato spaces, BMO spaces and Besov spaces.

article

Regularity Criteria of the 3D Boussinesq Equations in the Morrey-Campanato Space

Fuyi Xu, Qian Zhang, Xiaoxin Zheng

Acta Applicandae Mathematicae > 2012 > 121 > 1 > 231-240

In this paper, we consider the three-dimensional (3D) incompressible Boussinesq equations. We obtain some regularity criteria for the three-dimensional (3D) Boussinesq equations in the Morrey-Campanato space.

chapter

A note on oscillation criteria for forced second-order nonlinear differential equations with damping

Nina Shang, Fuyi Xu, Huizeng Qin

2010 2nd International Conference on Computer Engineering and Technology > 6 > V6-726 - V6-728

2010 2nd International Conference on Computer Engineering and Technology (ICCET)

In this paper, we study the following forced second-order nonlinear differential equation with damping (r(t)k₁(x(t), x'(t)))' + p(t)k₂(x(t), x'(t))k₁(x(t), x'(t)) + q(t)f(x(t))=e(t) and establish several sufficient conditions for this equation to be oscillatory. In the meanwhile, we point out the mistake in the related articles.

chapter

The existence of infinitely many positive solutions for three-point boundary value problem with p-Laplacian

Hongling Fan, Fuyi Xu

2010 2nd International Conference on Computer Engineering and Technology > 4 > V4-574 - V4-576

2010 2nd International Conference on Computer Engineering and Technology (ICCET)

In this paper, we consider three-point boundary value problem (φ_p(u'))' + a(t)f(u) = 0, 0 <; t <; 1 where φ_p(u) = |u|^p-2u, p > 1, subject to nonlinear boundary conditions. We show that there exist positive solution and countably many positive solutions by fixed point theorems in a cone.

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INFONA - science communication portal

Search results for: Fuyi Xu

TEAD1, MYO7A and NDUFC2 are novel functional genes associated with glucose metabolism in BXD recombinant inbred population

Systems genetics analysis reveals the common genetic basis for pain sensitivity and cognitive function

The optimal decay rates of classical solutions to the 3D compressible Navier‐Stokes equations

A multiplex SNP genotyping by allele‐specificspecific PCR based on stem‐loop and universal fluorescent primers of Chr1^daxin mice

A scaling invariant regularity criterion for the 3D incompressible magneto-hydrodynamics equations

Sequence analysis of chromosome 1 revealed different selection patterns between Chinese wild mice and laboratory strains

Global Existence and the Optimal Decay Rates for the Three Dimensional Compressible Nematic Liquid Crystal Flow

The optimal convergence rates for the multi‐dimensional compressible viscoelastic flows

Global existence and temporal decay for the 3D compressible Hall-magnetohydrodynamic system

The Optimal Convergence Rates for the Multi-dimensional Chemotaxis Model in Critical Besov Spaces

Well‐posedness for the density‐dependent incompressible flow of liquid crystals

Global well-posedness for the 2D fluid system with the linear Soret effect and Yudovich's type data

On the well-posedness for a multi-dimensional compressible viscous liquid–gas two-phase flow model in critical spaces

On the global well-posedness for the 2D Euler–Boussinesq system

Global mild solutions of the micropolar fluid system in critical spaces

Regularity criterion of weak solution for the 3D Magneto-micropolar fluid equations in Besov spaces

Logarithmically improved regularity criteria for the micropolar fluid equations

Regularity Criteria of the 3D Boussinesq Equations in the Morrey-Campanato Space

A note on oscillation criteria for forced second-order nonlinear differential equations with damping

The existence of infinitely many positive solutions for three-point boundary value problem with p-Laplacian

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