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| 1 | Uniqueness and stability of solution for Cauchy problem of degenerate quasilinear parabolic equations显示文摘The uniqueness and existence of BV-solutions for Cauchy problem of the form (e)u/(e)t=△A(u)+N∑i=1(e)bi(u)/(e)xi, A'u≥0,u(x,0)=uo are proved. | ZHAO Junning & ZHAN Huashui Department of Mathematics, Xiamen University, Xiamen 361005, China School of Science, Jimei University, Xiamen 361000, China | 2005 | Science China Mathematics2005，48，5： | 6 |
| 2 | Solution to Nonlinear Parabolic Equations Related to P-Laplacian显示文摘Consider the following Cauchy problem:u_t = div(|▽u ~m |~ p-2▽u^m),(x,t) ∈ST=R^N ×(0,T),u(x,0) = μ,x ∈R^N,where 1 | Huashui ZHAN | 2012 | Chinese Annals of Mathematics,Series B2012，33，5： | 5 |
| 3 | Harnack Estimates for Weak Solutions to a Singular Parabolic Equation显示文摘By an interpolation method,an intrinsic Harnack estimate and some supestimates are established for nonnegative solutions to a general singular parabolic equation. | Huashui ZHAN | 2011 | Chinese Annals of Mathematics,Series B2011，32，3： | 3 |
| 4 | The open manifold with zero ideal boundary显示文摘 | Huashui Zhan | 1999 | Southeast Asian Bulletin of Mathematics1999，23，： | 1 |
| 5 | High activity of Pd–In 2 O 3 /CNTs electrocatalyst for electro-oxidation of ethanol显示文摘 | Daobao Chu Jian Wang Shuxi Wang Longwu Zha Jianguo He Yuanyuan Hou Yongxin Yan Huashui Lin Zhaowu Tian | 2008 | Catalysis Communications2008，，6： | 1 |
| 6 | Susceptibility Towards Enterotoxigenic Escherichiacoli F4 ac Diarrhea is Governed by the MUC13 Gene in Pigs显示文摘 | Jun Ren Xueming Yan Huashui Ai | | 0，，09： | 1 |
| 7 | The diameter growth of an open Riemannian manifold with nonegative sectional curvatrue显示文摘 | Zhan Huashui | 2003 | Southeast Asian Bulletin of Math2003，27，4： | 1 |
| 8 | Complete three dimensional manifolds with nonnegative Ricci curvature and two order volume growth显示文摘 | Zhan Huashui | 2000 | Southeast Asian Bulletin of Math2000，24，2： | 1 |
| 9 | The geodesics without conjugate point on a complete manifold显示文摘 | Liang Yixing Zhan Huashui | 1996 | Tensor N S1996，57，4： | 1 |
| 10 | The open manifold with zero ideal boundary显示文摘 | Zhan Huashui | 1999 | Southeast Asian of Math1999，23，1： | 1 |
| 11 | The volume and topology of a complete Riemannian manifold显示文摘 | Zhan Huashui Shen Zhongmin | 2001 | Chinese Ann of Math2001，22，1： | 1 |
| 12 | Detection of genomic signatures for pig hairlessness using high-density SNP data显示文摘Hair provides thermal regulation for mammals and protects the skin from wounds,bites and ultraviolet(UV)radiation,and is important in adaptation to volatile environments.Pigs in nature are divided into hairy and hairless,which provide a good model for deciphering the molecular mechanisms of hairlessness.We conducted a genomic scan for genetically differentiated regions between hairy and hairless pigs using 60K SNP data,with the aim to better understand the genetic basis for the hairless phenotype in pigs.A total of 38405 SNPs in 498 animals from 36 diverse breeds were used to detect genomic signatures for pig hairlessness by estimating between-population(FST)values.Seven diversifying signatures between Yucatan hairless pig and hairy pigs were identified on pig chromosomes(SSC)1,3,7,8,10,11 and 16,and the biological functions of two notable genes,RGS17 and RB1,were revealed.When Mexican hairless pigs were contrasted with hairypigs,strong signatures were detected on SSC1 and SSC10,which harbor two functionally plausible genes,REV3L and BAMBI.KEGG pathway analysis showed a subset of overrepresented genes involved in the T cell receptor signaling pathway,MAPK signaling pathway and the tight junction pathways.All of these pathways may be important in local adaptability of hairless pigs.The potential mechanisms underlying the hairless phenotype in pigs are reported for the first time.RB1 and BAMBI are interesting candidate genes for the hairless phenotype in Yucatan hairless and Mexico hairless pigs,respectively.RGS17,REV3L,ICOS and RASGRP1 as well as other genes involved in the MAPK and T cell receptor signaling pathways may be important in environmental adaption by improved tolerance to UV damage in hairless pigs.These findings improve our understanding of the genetic basis for inherited hairlessness in pigs. | Ying SU Yi LONG Xinjun LIAO Huashui AI Zhiyan ZHANG Bin YANG Shijun XIAO Jianhong TANG Wenshui XIN Lusheng HUANG Jun REN Nengshui DING | 2014 | Frontiers of Agricultural Science and Engineering2014，1，4： | 0 |
| 13 | Definite Condition of the Evolutionary p(x)−Laplacian Equation显示文摘For the nonlinear degenerate parabolic equations,how to find an appropriate boundary value condition to ensure the well-posedness of weak solution has been an interesting and challenging problem.In this paper,we develop the general characteristic function method to study the stability of weak solutions based on a partial boundary value condition. | Huashui Zhan Zhaosheng Feng | 2022 | Analysis in Theory and Applications2022，38，3： | 0 |
| 14 | On a Nonlinear Heat Equation with Degeneracy on the Boundary显示文摘The paper studies the stability of weak solutions of a nonlinear heat equation with degenerate on the boundary. A new kind of weak solutions are introduced. By the new weak solution, the stability of weak solutions is proved only dependent on the initial value. | ZHAN Huashui | 2019 | Journal of Partial Differential Equations2019，32，1： | 0 |
| 15 | Four genetic loci affecting swine lung lesions identified by whole-genome sequencing-based association studies显示文摘Dear Editor,Lung disease is a serious concern in humans and domestic animals.Huge economic losses are caused by enzootic pneumonia in the swine industry worldwide(Maes et al.,2018).The lung can be easily invaded by environmental pathogens,resulting in lung diseases usually accompanied by lung lesions. | Xinkai Tong Tao Huang Mingpeng Zhang Jiaqi Chen Zhou Zhang Jingquan Li Huipeng Du Ziqi Ling Zhongzi Wu Bin Yang Shijun Xiao Huashui Ai | 2021 | Science China(Life Sciences)2021，64，9： | 0 |
| 16 | Initial Boundary Value Problem of an Equation from Mathematical Finance显示文摘Consider the initial boundary value problem of the strong degenerate parabolic equation ?_(xx)u + u?_yu-?_tu = f(x, y, t, u),(x, y, t) ∈ Q_T = Ω×(0, T)with a homogeneous boundary condition. By introducing a new kind of entropy solution, according to Oleinik rules, the partial boundary condition is given to assure the well-posedness of the problem. By the parabolic regularization method, the uniform estimate of the gradient is obtained, and by using Kolmogoroff 's theorem, the solvability of the equation is obtained in BV(Q_T) sense. The stability of the solutions is obtained by Kruzkov's double variables method. | Huashui ZHAN | 2016 | Chinese Annals of Mathematics,Series B2016，37，3： | 0 |
| 17 | Parabolic System Related to the P-Laplician with Degeneracy on the Boundary显示文摘In this article,we study the system w让h boundary degeneracy wit-div(a(x)|s■ui|Pi^-2■ui)=fi(x,t,u1,u2),(x,t)∈T.Applying the monotone iterattion technique and the regularization method,we get the existence of solution for a regularized system.Moreover,under an integral condition on the coefficient function a(x),the existence and the uniqueness of the local solutions of the system is obtained by using a standard limiting process.Finally,the stability of the solutions is proved without any boundary value cond让ion,provided a(x)satisfies another restriction. | OU Qnitdong ZHAN Huashui | 2019 | Journal of Partial Differential Equations2019，32，3： | 0 |
| 18 | Revisiting the Evolutionary History of Pigs via De Novo Mutation Rate Estimation in A Three-generation Pedigree显示文摘The mutation rate used in the previous analyses of pig evolution and demographics was cursory and hence invited potential bias in inferring evolutionary history.Herein,we estimated the de novo mutation rate of pigs as 3.6×10-9 per base per generation using high-quality whole-genome sequencing data from nine individuals in a three-generation pedigree through stringent filtering and validation.Using this mutation rate,we re-investigated the evolutionary history of pigs.The estimated divergence time of~10 kiloyears ago(KYA)between European wild and domesticated pigs was consistent with the domestication time of European pigs based on archaeological evidence.However,other divergence events inferred here were not as ancient as previously described.Our estimates suggest that Sus speciation occurred~1.36 million years ago(MYA);European wild pigs split from Asian wild pigs only~219 KYA;and south and north Chinese wild pigs split~25 KYA.Meanwhile,our results showed that the most recent divergence event between Chinese wild and domesticated pigs occurred in the Hetao Plain,northern China,approximately 20 KYA,supporting the possibly independent domestication in northern China along the middle Yellow River.We also found that the maximum effective population size of pigs was~6 times larger than estimated before.An archaic migration from other Sus species originating~2 MYA to European pigs was detected during western colonization of pigs,which may affect the accuracy of previous demographic inference.Our de novo mutation rate estimation and its consequences for demographic history inference reasonably provide a new vision regarding the evolutionary history of pigs. | Mingpeng Zhang Qiang Yang Huashui Ai Lusheng Huang | 2022 | Genomics, Proteomics & Bioinformatics2022，20，6： | 0 |
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