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Exact Solutions of Gardner Equations through tanh-coth Method 被引量:2
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作者 Lin Lin shiyong zhu +1 位作者 Yinkang Xu Yubing Shi 《Applied Mathematics》 2016年第18期2374-2381,共8页
In this paper, we apply the tanh-coth method and traveling wave transformation method for solving Gardner equations, including (1 + 1)-Gardner and (2 + 1)- Gardner equations. The tanh-coth method proved to be reliable... In this paper, we apply the tanh-coth method and traveling wave transformation method for solving Gardner equations, including (1 + 1)-Gardner and (2 + 1)- Gardner equations. The tanh-coth method proved to be reliable and effective in handling a large number of nonlinear dispersive and disperse equations. Through tanh-coth method, we get analytical expressions of soliton solutions of Gardner equations. The one-soliton solution is characterized by an infinite wing or infinite tail. 展开更多
关键词 tanh-coth Method Gardner Equations Soliton Solutions
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Prenatal cadmium exposure impairs neural tube closure via inducing excessive apoptosis in neuroepithelium
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作者 shiyong zhu Xuenan Li +1 位作者 Xueyan Dai Jinlong Li 《Journal of Environmental Sciences》 SCIE EI CAS CSCD 2024年第4期572-584,共13页
Birth defects have become a public health concern.The hazardous environmental factors exposure to embryos could increase the risk of birth defects.Cadmium,a toxic environmental factor,can cross the placental barrier d... Birth defects have become a public health concern.The hazardous environmental factors exposure to embryos could increase the risk of birth defects.Cadmium,a toxic environmental factor,can cross the placental barrier during pregnancy.Pregnant woman may be subjected to cadmium before taking precautionary protective actions.However,the link between birth defects and cadmium remains obscure.Cadmium exposure can induce excessive apoptosis in neuroepithelium during embryonic development progresses.Cadmium exposure activated the p53 via enhancing the adenosine 5‘-monophosphate(AMP)-activated protein kinase(AMPK)and reactive oxygen species'(ROS)level.And cadmium decreases the level of Paired box 3(Pax3)and murine double minute 2(Mdm2),disrupting the process of p53 ubiquitylation.And p53 accumulation induced excessive apoptosis in neuroepithelium during embryonic development progresses.Excessive apoptosis led to the failure of neural tube closure.The study emphasizes that environmental materials may increase the health risk for embryos.Cadmium caused the failure of neural tube closure during early embryotic day.Pregnant women may be exposed by cadmium before taking precautionary protective actions,because of cadmium concentration-containing foods and environmental tobacco smoking.This suggests that prenatal cadmium exposure is a threatening risk factor for birth defects. 展开更多
关键词 Cadmium Neural tube closure Excessive apoptosis p53 EMBRYOGENESIS
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二维不可压热传导黏性流体边界层的数学分析
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作者 王亚光 朱世勇 《中国科学:数学》 CSCD 北大核心 2019年第2期267-280,共14页
本文总结我们对二维不可压热传导黏性流体的运动在小黏性和小热传导极限下的边界层的数学理论分析.在黏性系数和热传导系数为同阶小量的假设下,首先利用多尺度方法得到二维不可压热传导黏性流场的速度边界层和温度边界层所满足的方程;... 本文总结我们对二维不可压热传导黏性流体的运动在小黏性和小热传导极限下的边界层的数学理论分析.在黏性系数和热传导系数为同阶小量的假设下,首先利用多尺度方法得到二维不可压热传导黏性流场的速度边界层和温度边界层所满足的方程;其次在边界层切向速度场关于法向变量单调的假设下,通过运用Crocco变换及能量方法得到此边界层方程在有限阶光滑函数类中的局部适定性;在速度场没有单调性假设的情形下,利用Littlewood-Paley理论建立此边界层方程在关于切向变量解析的函数类中的局部适定性;最后对于一类非单调的解析初值,利用Lyapunov泛函方法得到此边界层方程的解在有限时间内发生爆破的结果,这说明前面得到的解析解一般只能是局部存在的. 展开更多
关键词 Navier-Stokes-Fourier方程 速度层与温度层 适定性 解的爆破
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