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Crustal Contamination of the Mantle-Derived Liuyuan Basalts:Implications for the Permian Evolution of the Southern Central Asian Orogenic Belt 被引量:2
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作者 yuanyang yu Keqing Zong +6 位作者 yu yuan Reiner Klemd Xin-Shui Wang Jingliang Guo Rong Xu Zhaochu Hu Yongsheng Liu 《Journal of Earth Science》 SCIE CAS CSCD 2022年第5期1081-1094,共14页
The Permian basalts in the Central Asian Orogenic Belt(CAOB)are crucial for constraining the closure of the Paleo-Asian Ocean.However,the origin of these basalts is still under discussion.Here,we present comprehensive... The Permian basalts in the Central Asian Orogenic Belt(CAOB)are crucial for constraining the closure of the Paleo-Asian Ocean.However,the origin of these basalts is still under discussion.Here,we present comprehensive bulk-rock geochemical,Sr-Nd-Pb-Hf isotopic,and zircon U-Pb-Lu-Hf isotopic data of the Liuyuan basalts and coexisting gabbros,which are located in the Beishan Orogen in the southern CAOB,to constrain their emplacement setting and tectonic implications.Our new gabbro ages of ca.288–294 Ma are interpreted to represent the formation time of the Liuyuan basaltic belt.The Liuyuan basalts show MORB-like rare earth element(REE)patterns and bulk-rockε_(Hf)(t)andε_(Nd)(t)values of 11.0–15.4 and 4.6–9.2,respectively,suggesting an origination mainly from a depleted mantle source.However,positive Pb anomalies,Nb-Ta depletions,and high Th/Yb ratios as well as evolved Sr-Nd-Pb-Hf isotopic compositions of some samples indicate variable continental crustal contribution.According to the covariation of Pb anomalies(Pb^(*)=2×Pb_(N)/(Ce_(N)+Pr_(N)))with Sr-Nd-Pb-Hf isotopic compositions,we speculate that parent magma of the Liuyuan basalt was contaminated by continental crustal materials during the eruption rather than having been generated from an enriched mantle source.As revealed by mixing modelling,the Liuyuan basaltic magmas would require a minor(<10%)upper continental crustal assimilation to explain the enriched trace elemental and radiogenic Sr-Nd-Pb-Hf isotopic signatures.Consequently,the Liuyuan basaltic belt is believed to have been generated in a continental extensional environment instead of an oceanic setting and does not constitute a Permian ophiolitic suture zone as previously suggested,since the Paleo-Asian Ocean was already closed in the southern Beishan Orogen in the Early Permian. 展开更多
关键词 crustal contamination Liuyuan basaltic belt Central Asian Orogenic Belt Beishan Orogen Pb anomaly TECTONICS
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R^3上分数阶Kirchhoff方程正解的多重性及集中性 被引量:1
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作者 顾光泽 吴鲜 +1 位作者 余渊洋 赵富坤 《中国科学:数学》 CSCD 北大核心 2019年第1期39-72,共34页
本文考虑如下分数阶Kirchhoff方程:{M(∫∫R^3×R^3|u(x)-u(y)|~2|x-y|3+2sdxdy)(-?)su(x)+V (x)u=f (u), x∈R^3,u∈H^s(R^3),其中M(t)=ε^(2s)a+ε^(4s-3)bt是Kirchhoff函数,3/4<s<1,ε>0是小参数,位势V是正连续函数且... 本文考虑如下分数阶Kirchhoff方程:{M(∫∫R^3×R^3|u(x)-u(y)|~2|x-y|3+2sdxdy)(-?)su(x)+V (x)u=f (u), x∈R^3,u∈H^s(R^3),其中M(t)=ε^(2s)a+ε^(4s-3)bt是Kirchhoff函数,3/4<s<1,ε>0是小参数,位势V是正连续函数且有全局极小,非线性项f连续且在无穷远处次临界增长.利用Ljusternik-Schnirelmann畴数理论,本文得到了正解个数与位势V全局极小集拓扑之间的关系,证明了当ε→0^+时,这些正解在H^s(R^3)中收敛到极限方程的基态解,且这些解集中在位势V的全局极小附近.此外也得到了解的衰减估计. 展开更多
关键词 分数阶Kirchhoff方程lLjusternik-Schnirelmann畴数理论 集中性 变分方法
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The existence and multiplicity of solutions of a fractional Schrdinger-Poisson system with critical growth 被引量:2
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作者 yuanyang yu Fukun Zhao Leiga Zhao 《Science China Mathematics》 SCIE CSCD 2018年第6期1039-1062,共24页
In this paper, we study the existence and multiplicity of solutions for the following fractional Schrodinger-Poisson system:({ε2S(-△)Su+V(x)u+φu=|u|2*s-2+f(u)in R3ε2s(-△)sφ=u in R3(0.1)where 3/... In this paper, we study the existence and multiplicity of solutions for the following fractional Schrodinger-Poisson system:({ε2S(-△)Su+V(x)u+φu=|u|2*s-2+f(u)in R3ε2s(-△)sφ=u in R3(0.1)where 3/4〈s〈1,2*:+6/3-2s)is the fractional critical exponent for 3-dimension, the potential V : R3→ R is continuous and has global minima, and f is continuous and supercubic but subcritical at infinity. We prove the existence and multiplicity of solutions for System (0.1) via variational methods. 展开更多
关键词 fractional Schrodinger-Poisson system critical growth variational methods
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