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一类指数边界非局部扩散方程的爆破(英文) 被引量:1
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作者 赵文波 李中平 《贵州师范大学学报(自然科学版)》 CAS 2017年第3期69-73,共5页
主要研究一类带有指数边界流的非局部扩散方程的爆破问题{u_t(x,t) = ∫_ΩJ(x-y)(u(y,t)-u(x,t)) dy + ∫_(RN\Ω)J(x-y) e^(αu(y,t))dy u(x,0) = u_0(x) 证明了当α>0时,非负、非平凡解在有限时间内爆破,并且得到爆破速率估计为 ... 主要研究一类带有指数边界流的非局部扩散方程的爆破问题{u_t(x,t) = ∫_ΩJ(x-y)(u(y,t)-u(x,t)) dy + ∫_(RN\Ω)J(x-y) e^(αu(y,t))dy u(x,0) = u_0(x) 证明了当α>0时,非负、非平凡解在有限时间内爆破,并且得到爆破速率估计为 -1/αlnα(T-t) ≤ Pu(·,t) ≤ P_(L∞)(Ω) ≤-1/αln C(T-t) 展开更多
关键词 非局部扩散 指数边界流 爆破 爆破速率
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The relations between density of FACs in the Plasma Sheet Boundary Layers and Kp index 被引量:8
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作者 CHENG ZhengWei SHI JianKui +2 位作者 ZHANG TieLong DUNLOP Malcolm LIU ZhenXing 《Science China(Technological Sciences)》 SCIE EI CAS 2011年第11期2987-2992,共6页
We have studied 172 field-aligned currents (FACs) cases observed by the ClusterlI satellites when they crossed the plasma sheet boundary layer (PSBL) in the magnetotail from July to October 2001. We mainly analyze... We have studied 172 field-aligned currents (FACs) cases observed by the ClusterlI satellites when they crossed the plasma sheet boundary layer (PSBL) in the magnetotail from July to October 2001. We mainly analyzed the relationship between the characteristic of FACs at the PSBL in magnetotail and the Kp index. The main results indicated the followings: 1) In the different geomagnetic activity levels, the relative occurrence of FACs in PSBL increased monotonically with geomagnetic activity. 2) The density of FACs in PSBL increased monotonically with Kp index. In the storm main phase, the density of FACs increased dramatically, the maximum FACs approximately equaled 19.05 nA m-2 while Kp equaled 5.3) The variation of FACs density in PSBL was consistent with the variation of the Kp index. However, when AE〈800 nT, FACs density in PSBL increased with increasing AE, and when AE〉800 nT, it decreased with increasing AE. Therefore, our results suggested that the FACs density in PSBL had a closer correlation with Kp index. 展开更多
关键词 field-aligned currents plasma sheet boundary layer Kp index AE index
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