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一个变分不等式的奇异摄动
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作者 申建中 易法槐 《高校应用数学学报(A辑)》 CSCD 北大核心 2001年第1期61-67,共7页
对变分不等式 :uε∈ Kψ={ v∈ H 20 (Ω ) |v≥ψ}ε∫ΩΔuεΔ(v - uε) dx +∫Ω Δuε Δ(v - uε) dx≥∫Ωf (v - uε) dx  v∈ Kψ的奇异摄动问题进行了探索 .证明了解的重合集 Iε={ x∈Ω |uε(x) =ψ}在Hausdorff距离意... 对变分不等式 :uε∈ Kψ={ v∈ H 20 (Ω ) |v≥ψ}ε∫ΩΔuεΔ(v - uε) dx +∫Ω Δuε Δ(v - uε) dx≥∫Ωf (v - uε) dx  v∈ Kψ的奇异摄动问题进行了探索 .证明了解的重合集 Iε={ x∈Ω |uε(x) =ψ}在Hausdorff距离意义下收敛到ε=0时解的重合集 . 展开更多
关键词 变分不等式 重合集 HAUSDORFF距离 障碍问题 奇异摄动
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Studies of reasonability of computing return period of storm surge based on random events set
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作者 LI Xuan GONG Mao-xun +1 位作者 KANG Xing CHEN Bing-rui 《Marine Science Bulletin》 CAS 2017年第1期24-36,共13页
In order to study whether the random events set can be used in Rudongbank of Nantong or not, we use ADCIRC model to stimulate the storm surge affectingRudong bank based on random events set. Then we use p-III curve to... In order to study whether the random events set can be used in Rudongbank of Nantong or not, we use ADCIRC model to stimulate the storm surge affectingRudong bank based on random events set. Then we use p-III curve to fit peak-value ofsurge of all the years to get the surge of typical return periods. The result shows that theresults of fitting by ADCIRC and by historical data coincide well in lower return periods,but to higher return periods, the results of fitting by ADCIRC are significantly higher thanthat of fitting by historical data. Due to the short time, it’s not enough for the extremestorm surge events to occur, the results of higher return periods are not reliable, so wecan’t rule out the reasonability of results based on random events set. The results offitting based on random events set are accurate in lower return periods and we can alsofully estimate the surge of higher return periods based on random events set. In thesituation of lacking historical data of hundreds of years, random events set can beaccepted as a tool to compute the return period of storm surge. Consideration of globalwarming, the possibility of super typhoons’ appearance will rise, which will result inhigher surge of return periods. In order to prevent the disaster of storm surge, thegovernment needs to deepen and reinforce the coastal engineering like seawalls and embankments. 展开更多
关键词 random events set storm surge reasonability
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Lumped Time Distribution Function of Dynamic Equilibrium System and Its Application in Calculating Molecular Weight Distribution of Polymer
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作者 李洪泊 孙建中 +2 位作者 刘青 翁志学 潘祖仁 《Chinese Journal of Chemical Engineering》 SCIE EI CAS CSCD 2002年第2期212-217,共6页
The lumped time distribution functions were proposed, which can be used for describing the dynamicsystems with two or more than two states of the end of growing polymer chain during chain addition polymerization.Numer... The lumped time distribution functions were proposed, which can be used for describing the dynamicsystems with two or more than two states of the end of growing polymer chain during chain addition polymerization.Numerical analysis of the lumped time distribution functions was carried out. The method for calculating molecularweight distribution of polymer in the stable free radical polymerization and more general cases was developed basedon the lumped time distribution functions. 展开更多
关键词 lumped time distribution function molecular weight distribution dynamic system
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具混合时滞和不连续激励函数的Cohen-Grossberg神经网络周期解的存在性
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作者 张孟孟 赵前进 《安庆师范大学学报(自然科学版)》 2018年第3期21-26,共6页
Cohen-Grossberg神经网络模型在信号处理、最优化问题中有重要应用,对其周期解的研究非常重要。本文利用集值版本的Mawhin重合度定理、M-矩阵理论和微分不等式技巧,研究了一类具有混合时滞和不连续激励函数的Cohen-Grossberg神经网络模... Cohen-Grossberg神经网络模型在信号处理、最优化问题中有重要应用,对其周期解的研究非常重要。本文利用集值版本的Mawhin重合度定理、M-矩阵理论和微分不等式技巧,研究了一类具有混合时滞和不连续激励函数的Cohen-Grossberg神经网络模型,建立了所研究模型周期解存在的充分条件,改进并推广了有关文献结果。 展开更多
关键词 COHEN-GROSSBERG神经网络 周期解 值版本的Mawhin重合度定理 不连续激励函数
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cDNA cloning and expression of a collectin from red-spotted grouper(Epinephelus akaara)
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作者 张之文 丁少雄 +3 位作者 王颖 毛勇 苏永全 王军 《Chinese Journal of Oceanology and Limnology》 SCIE CAS CSCD 2009年第3期543-549,共7页
Lectins play a crucial role in the innate immunity of invertebrates and vertebrates by recognizing and disposing of pathogens. We obtained the complete cDNA of a C-type lectin (EALecl) from Epinephelus akaara using ... Lectins play a crucial role in the innate immunity of invertebrates and vertebrates by recognizing and disposing of pathogens. We obtained the complete cDNA of a C-type lectin (EALecl) from Epinephelus akaara using RACE. The complete EALecl cDNA sequence was 827 bp. The 5-UTR and 3-UTR were 28 bp and 151 bp, respectively, in length. The sequence also contained a polyadenylation signal AATAAA and a poly(A) tail. The EALecl cDNA encodes polypeptides with 215 amino acids, including a signal peptide of 31 amino acids. The protein has a cysteine-rich region at the N terminal, a collagenous region characterized by G-X-Y repeats, a neck region, and a typical carbohydrate-recognition domain (CRD), indicating that EALecl is a collectin. The key recognition positions of this CRD are EPD, isolated for the first time in fish. These are likely the interim types, between mannan-binding lectin and galactose-binding lectin. We evaluated the expression pattern of EALecl in 12 different tissues using RT-PCR. EALecl was expressed in all tissues, though at different levels. In addition, we inserted EALecl into an expression vector (pET-28a) for transformation into the BL21 engineering bacteria. Based on enzyme digestion and sequencing of the positive clone, we successfully constructed the EALecl recombinant expression vector. 展开更多
关键词 Epinephelus akaara COLLECTIN EXPRESSION CLONE
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E-Total Coloring of Complete Bipartite Graphs K_(5,n)(5≤n≤7 113)Which Are Vertex-Distinguished by Multiple Sets
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作者 GUO Yaqin CHEN Xiang'en 《Wuhan University Journal of Natural Sciences》 CAS CSCD 2024年第5期412-418,共7页
In this study,using the method of contradiction and the pre-assignment of chromatic sets,we discuss the E-total coloring of complete bipartite graphs K_(5,n)(5≤n≤7 113) which are vertex-distinguished by multiple set... In this study,using the method of contradiction and the pre-assignment of chromatic sets,we discuss the E-total coloring of complete bipartite graphs K_(5,n)(5≤n≤7 113) which are vertex-distinguished by multiple sets.The vertex-distinguishing E-total chromatic numbers of this kind of graph are determined. 展开更多
关键词 complete bipartite graph E-total coloring E-total chromatic number multiple sets chromatic sets
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