We discussed the Dirichlet problem of semilinear elliptic equation (P β,ε):β 2Δu=u p +εu,u>0, in Ω;u=0, on ?Ω, where Ω?R N (N≥4) is smooth and bounded domain, ,β,ε>0. We have proved that there exist ...We discussed the Dirichlet problem of semilinear elliptic equation (P β,ε):β 2Δu=u p +εu,u>0, in Ω;u=0, on ?Ω, where Ω?R N (N≥4) is smooth and bounded domain, ,β,ε>0. We have proved that there exist positiveε 0 andε 1, such that when 0?ε?ε 0,β>√ε 1, (P β,ε) has a single-peaked solutionu β,ε; furthermore, |?u β0|2?0 in the sense of measure as ε→0 and β→0.展开更多
China's energy carbon emissions are projected to peak in 2030 with approximately 110%of its 2020 level under the following conditions:1)China's gross primary energy consumption is 5 Gtce in 2020 and 6 Gtce in ...China's energy carbon emissions are projected to peak in 2030 with approximately 110%of its 2020 level under the following conditions:1)China's gross primary energy consumption is 5 Gtce in 2020 and 6 Gtce in 2030;2)coal's share of the energy consumption is 61%in 2020 and55%in 2030;3)non-fossil energy's share increases from 15%in 2020 to 20%in 2030;4)through 2030,China's GDP grows at an average annual rate of 6%;5)the annual energy consumption elasticity coefficient is 0.30 in average;and 6)the annual growth rate of energy consumption steadily reduces to within 1%.China's electricity generating capacity would be 1,990 GW,with 8,600 TW h of power generation output in 2020.Of that output 66%would be from coal,5%from gas,and 29%from non-fossil energy.By 2030,electricity generating capacity would reach3,170 GW with 11,900 TW h of power generation output.Of that output,56%would be from coal,6%from gas,and 37%from non-fossil energy.From 2020 to 2030,CO2emissions from electric power would relatively fall by 0.2 Gt due to lower coal consumption,and relatively fall by nearly 0.3 Gt with the installation of more coal-fired cogeneration units.During 2020e2030,the portion of carbon emissions from electric power in China's energy consumption is projected to increase by 3.4 percentage points.Although the carbon emissions from electric power would keep increasing to 118%of the 2020 level in 2030,the electric power industry would continue to play a decisive role in achieving the goal of increase in non-fossil energy use.This study proposes countermeasures and recommendations to control carbon emissions peak,including energy system optimization,green-coal-fired electricity generation,and demand side management.展开更多
基金the National Natural Science Foundation of ChinaFoundation for Fundamental Sciences of Nanchang UniversityHua-chen Found
文摘We discussed the Dirichlet problem of semilinear elliptic equation (P β,ε):β 2Δu=u p +εu,u>0, in Ω;u=0, on ?Ω, where Ω?R N (N≥4) is smooth and bounded domain, ,β,ε>0. We have proved that there exist positiveε 0 andε 1, such that when 0?ε?ε 0,β>√ε 1, (P β,ε) has a single-peaked solutionu β,ε; furthermore, |?u β0|2?0 in the sense of measure as ε→0 and β→0.
文摘China's energy carbon emissions are projected to peak in 2030 with approximately 110%of its 2020 level under the following conditions:1)China's gross primary energy consumption is 5 Gtce in 2020 and 6 Gtce in 2030;2)coal's share of the energy consumption is 61%in 2020 and55%in 2030;3)non-fossil energy's share increases from 15%in 2020 to 20%in 2030;4)through 2030,China's GDP grows at an average annual rate of 6%;5)the annual energy consumption elasticity coefficient is 0.30 in average;and 6)the annual growth rate of energy consumption steadily reduces to within 1%.China's electricity generating capacity would be 1,990 GW,with 8,600 TW h of power generation output in 2020.Of that output 66%would be from coal,5%from gas,and 29%from non-fossil energy.By 2030,electricity generating capacity would reach3,170 GW with 11,900 TW h of power generation output.Of that output,56%would be from coal,6%from gas,and 37%from non-fossil energy.From 2020 to 2030,CO2emissions from electric power would relatively fall by 0.2 Gt due to lower coal consumption,and relatively fall by nearly 0.3 Gt with the installation of more coal-fired cogeneration units.During 2020e2030,the portion of carbon emissions from electric power in China's energy consumption is projected to increase by 3.4 percentage points.Although the carbon emissions from electric power would keep increasing to 118%of the 2020 level in 2030,the electric power industry would continue to play a decisive role in achieving the goal of increase in non-fossil energy use.This study proposes countermeasures and recommendations to control carbon emissions peak,including energy system optimization,green-coal-fired electricity generation,and demand side management.
