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具有部分粘性和阻尼的三维热带气候模型的全局正则性
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作者 曾颖 别群益 《应用数学》 北大核心 2024年第1期80-88,共9页
本文研究在速度的正压模态上具有阻尼|u|^(α-1)u的三维热带气候模型.利用能量估计方法,我们得到了当α≥4和β≥3/2时该模型强解的全局存在性和唯一性.
关键词 热带气候模型 全局适定性 强解 阻尼
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带阻尼的三维热带气候模型的适定性研究
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作者 陈贤 《应用数学进展》 2022年第7期4933-4941,共9页
本文考虑了带阻尼的三维热带气候模型。利用能量估计的方法,证明了带阻尼的三维热带气候模型对于,如果β,γ,δ满足β≥4,,δ≥1时,那么带阻尼的三维热带气候模型强解是存在的,且是唯一的。
关键词 热带气候模型 适定性 阻尼性 强解
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广义热带气候模型的全局存在性
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作者 钟宁 马翠 张曰云 《德州学院学报》 2017年第2期9-14,共6页
研究广义热带气候模型的Cauchy问题.当α>5/2时,利用先验估计得到广义热带气候模型的解的整体存在性结果.
关键词 热带气候模型 能量方法 整体存在性
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无热耗散d维热带气候模型的小初值整体解
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作者 原保全 陈霞 《数学学报(中文版)》 CSCD 北大核心 2023年第3期485-494,共10页
本文研究小初值情况下无热耗散d(d≥2)维热带气候模型的整体适定性问题,文中考虑的模型在速度的正压模和第一斜压模方程上分别具有分数阶耗散Λ^(2α)u的Λ^(2β)v.当0≤α<1,1/2≤β≤1且α+β≥1时,在小初值的假设下,我们建立了整... 本文研究小初值情况下无热耗散d(d≥2)维热带气候模型的整体适定性问题,文中考虑的模型在速度的正压模和第一斜压模方程上分别具有分数阶耗散Λ^(2α)u的Λ^(2β)v.当0≤α<1,1/2≤β≤1且α+β≥1时,在小初值的假设下,我们建立了整体解的存在性和唯一性. 展开更多
关键词 热带气候模型 整体适定性 小初值
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带有部分粘性和阻尼项的三维热带气候模型的整体适定性
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作者 祖倩 张辉 石婷 《数学的实践与认识》 2023年第8期201-209,共9页
在三维情形下研究了带有部分粘性和阻尼项的不可压热带气候模型的整体适定性问题,通过对热带气候模型的非线性结构细致分析并结合能量估计的方法在各向异性Sobolev空间中证明了当β≥4时该模型解的整体存在性和唯一性.
关键词 热带气候模型 整体存在性 能量估计
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非齐次Besov空间中d维无热耗散热带气候模型局部弱解的存在唯一性
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作者 原保全 张颖 《中国科学:数学》 CSCD 北大核心 2022年第4期397-414,共18页
本文研究d维无热耗散热带气候模型弱解的局部存在唯一性并得到如下结果:当α=β1且η=0时,对于初值(u0, v0)∈B^(1+d/2-2α)_(2,1)(R^(d))和θ0∈B^(1+d/2-2α)_(2,1)(R^(d)),方程存在唯一局部弱解.
关键词 热带气候模型 局部弱解 非齐次Besov空间 存在唯一性
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带有小初值的三维热带气候模型的适定性
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作者 张辉 《应用数学学报》 CSCD 北大核心 2021年第6期847-855,共9页
通过调和分析的手段,结合由能量方法获得的爆破准则,证明了存在一个小常数c_(0)>0,当初值满足‖u_(0)‖1/2B2,1+‖u_(0)‖1/2B2,1‖C_(0)‖方程组存在唯一的整体强解,(u,v,θ)∈L^(∞)(0,∞;H^(s)(R^(3))),s>5/2.
关键词 热带气候模型 小初值爆破准则
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A Method for Improving Simulation of PNA Teleconnection Interannual Variation in a Climate Model 被引量:2
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作者 LI Zhong-Xian ZHOU Tian-Jun +2 位作者 SUN Zhao-Bo CHEN Hai-Shan NI Dong-Hong 《Atmospheric and Oceanic Science Letters》 2011年第2期86-90,共5页
The climate modeling community has been challenged to develop a method for improving the simulation of the Pacific-North America (PNA) teleconnection pattern in climate models. The accuracy of PNA teleconnection sim... The climate modeling community has been challenged to develop a method for improving the simulation of the Pacific-North America (PNA) teleconnection pattern in climate models. The accuracy of PNA teleconnection simulation is significantly improved by considering mesoscale convection contributions to sea surface fluxes. The variation in the PNA over the past 22 years was simulated by the Grid Atmospheric Model of lAP LASG version 1.0 (GAMIL1.0), which was guided by observational SST from January 1979 to December 2000. Results show that heating in the tropical central-eastern Pacific is simulated more realistically, and sea surface latent heat flux and precipitation anomalies are more similar to the reanalysis data when mesoscale enhancement is considered during the parameterization scheme of sea surface turbulent fluxes in GAMIL1.0. Realistic heating in the tropical central-eastern Pacific in turn significantly improves the simulation of interannual variation and spatial patterns of PNA. 展开更多
关键词 sea surface turbulent flux parameterization PNA climate simulation
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Effects of extratropical solar penetration on North Atlantic Ocean circulation and climate
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作者 梁曦 吴立新 《Chinese Journal of Oceanology and Limnology》 SCIE CAS CSCD 2015年第1期243-251,共9页
Effects of extratropical solar penetration on the North Atlantic Ocean circulation and climate are investigated using a coupled ocean-atmosphere model.In this model,solar penetration generates basinwide cooling and wa... Effects of extratropical solar penetration on the North Atlantic Ocean circulation and climate are investigated using a coupled ocean-atmosphere model.In this model,solar penetration generates basinwide cooling and warming in summer and winter,respectively.Associated with SST changes,annual mean surface wind stress is intensified in both the subtropical and subpolar North Atlantic,which leads to acceleration of both subtropical and subpolar gyres.Owing to warming in the subtropics and significant saltiness in the subpolar region,potential density decreases(increases) in the subtropical(subpolar)North Atlantic.The north-south meridional density gradient is thereby enlarged,accelerating the Atlantic meridional overturning circulation(AMOC).In addition,solar penetration reduces stratification in the upper ocean and favors stronger vertical convection,which also contributes to acceleration of the AMOC. 展开更多
关键词 solar penetration North Atlantic Atlantic meridional overturning circulation (AMOC)
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Reducing the biases in shortwave cloud radiative forcing in tropical and subtropical regions from the perspective of boundary layer processes 被引量:7
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作者 SUN Wen Qi LI Li Juan WANG Bin 《Science China Earth Sciences》 SCIE EI CAS CSCD 2016年第7期1427-1439,共13页
Biases in shortwave cloud radiative forcing(SWCF), which cause overestimates in tropical regions and underestimates in subtropical marine stratocumulus regions, are common in many climate models. Here, two boundary la... Biases in shortwave cloud radiative forcing(SWCF), which cause overestimates in tropical regions and underestimates in subtropical marine stratocumulus regions, are common in many climate models. Here, two boundary layer processes are investigated in the atmospheric model GAMIL2, entrainment at the top of the boundary layer and longwave radiative cooling at the top of stratocumulus clouds, in order to reduce biases and reveal the mechanisms underlying these processes. Our results show that including the entrainment process in the model can reduce negative SWCF biases in most tropical regions but increases positive SWCF biases in subtropical marine stratocumulus regions. This occurs because entrainment reduces the low-level cloud fraction and its cloud liquid water content by suppressing the vertical turbulent diffusion in the boundary layer and decreasing the relative humidity when warm and dry free atmosphere is entrained in the boundary layer. Longwave radiative cooling at the top of stratocumulus clouds can enhance turbulent diffusion within the stratocumulus-topped boundary layer. When combined with the entrainment process, longwave radiative cooling reduces the positive SWCF biases in subtropical marine stratocumulus regions that are observed using the entrainment process alone. The incorporation of these two boundary layer processes improves the simulated SWCF in tropical and subtropical regions in GAMIL2. 展开更多
关键词 SWCF GAMIL2 Boundary layer Entrainment Stratocumulus
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