An objective technique of tropical cyclone （TC） moving direction prediction over the Northwestern Pacific Ocean during 2001 - 2002 is studied using GMS-50uting-Longwave Radiation （OLR）data. Three formulae used to ...An objective technique of tropical cyclone （TC） moving direction prediction over the Northwestern Pacific Ocean during 2001 - 2002 is studied using GMS-50uting-Longwave Radiation （OLR）data. Three formulae used to predict TC moving direction in 6, 12 and 24 h, respectively, have been obtained based on a multiple linear regression framework and some regression factors including several kinds of OLR characteristic values and the minimum sea level pressure of tropical cyclone center. The multiple correlation coefficients of the statistical analysis using the information of TCs in the Yearbook on Tropical Cyclones to validate the satellite-based prediction are 0.954, 0.945 and 0.914 respectively. The results are satisfying through checking one of the TCs in 2001.The techniques could be applied in future operation and would contribute to TC movement prediction, especially to a sudden change in TC moving direction and improving the forecasting and warning capability.展开更多
In this paper,we first establish narrow region principle and decay at infinity theorems to extend the direct method of moving planes for general fractional p-Laplacian systems.By virtue of this method,we investigate t...In this paper,we first establish narrow region principle and decay at infinity theorems to extend the direct method of moving planes for general fractional p-Laplacian systems.By virtue of this method,we investigate the qualitative properties of positive solutions for the following Schrodinger system with fractional p-Laplacian{(-△)^(s)_(p)u+au^(p-1)=f(u,v),(-△)^(t)_(p)v+bv(p-1)=g(u,v),where 0<s,t<1 and 2<p<∞.We obtain the radial symmetry in the unit ball or the whole space R^(N)(N≥2),the monotonicity in the parabolic domain and the nonexistence on the half space for positive solutions to the above system under some suitable conditions on f and g,respectively.展开更多
The paper generalizes the direct method of moving planes to the Logarithmic Laplacian system.Firstly,some key ingredients of the method are discussed,for example,Narrow region principle and Decay at infinity.Then,the ...The paper generalizes the direct method of moving planes to the Logarithmic Laplacian system.Firstly,some key ingredients of the method are discussed,for example,Narrow region principle and Decay at infinity.Then,the radial symmetry of the solution of the Logarithmic Laplacian system is obtained.展开更多
We give the direct method of moving planes for solutions to the conformally invariant fractional power sub Laplace equation on the Heisenberg group.The method is based on four maximum principles derived here.Then symm...We give the direct method of moving planes for solutions to the conformally invariant fractional power sub Laplace equation on the Heisenberg group.The method is based on four maximum principles derived here.Then symmetry and nonexistence of positive cylindrical solutions are proved.展开更多
基金"Study on the Application of Satellite Data on the Elements of Military Meteorology andImportant Weather Watch" from the General Equipment Department of the People’s Liberation Army
文摘An objective technique of tropical cyclone （TC） moving direction prediction over the Northwestern Pacific Ocean during 2001 - 2002 is studied using GMS-50uting-Longwave Radiation （OLR）data. Three formulae used to predict TC moving direction in 6, 12 and 24 h, respectively, have been obtained based on a multiple linear regression framework and some regression factors including several kinds of OLR characteristic values and the minimum sea level pressure of tropical cyclone center. The multiple correlation coefficients of the statistical analysis using the information of TCs in the Yearbook on Tropical Cyclones to validate the satellite-based prediction are 0.954, 0.945 and 0.914 respectively. The results are satisfying through checking one of the TCs in 2001.The techniques could be applied in future operation and would contribute to TC movement prediction, especially to a sudden change in TC moving direction and improving the forecasting and warning capability.
基金Supported by the National Natural Science Foundation of China(12101452,12071229,11771218)。
文摘In this paper,we first establish narrow region principle and decay at infinity theorems to extend the direct method of moving planes for general fractional p-Laplacian systems.By virtue of this method,we investigate the qualitative properties of positive solutions for the following Schrodinger system with fractional p-Laplacian{(-△)^(s)_(p)u+au^(p-1)=f(u,v),(-△)^(t)_(p)v+bv(p-1)=g(u,v),where 0<s,t<1 and 2<p<∞.We obtain the radial symmetry in the unit ball or the whole space R^(N)(N≥2),the monotonicity in the parabolic domain and the nonexistence on the half space for positive solutions to the above system under some suitable conditions on f and g,respectively.
基金Supported by the National Natural Science Foundation of China(11501342,12001344)。
文摘The paper generalizes the direct method of moving planes to the Logarithmic Laplacian system.Firstly,some key ingredients of the method are discussed,for example,Narrow region principle and Decay at infinity.Then,the radial symmetry of the solution of the Logarithmic Laplacian system is obtained.
基金supported by the National Natural Science Foundation of China(No.11771354)。
文摘We give the direct method of moving planes for solutions to the conformally invariant fractional power sub Laplace equation on the Heisenberg group.The method is based on four maximum principles derived here.Then symmetry and nonexistence of positive cylindrical solutions are proved.
