Collision-induced re-laxation process of CH(X^(2)Π,v=0)radical in various bath gases He,Ar,and N_(2)has been investigated ex-perimentally under low-temperature(26-52 K)supersonic flow conditions.The CH radicals were ...Collision-induced re-laxation process of CH(X^(2)Π,v=0)radical in various bath gases He,Ar,and N_(2)has been investigated ex-perimentally under low-temperature(26-52 K)supersonic flow conditions.The CH radicals were generat-ed with internal excitation by multiphoton photolysis of CHBr_(3)at 248 nm,and its rotational temperature was found to relax to the flow temperature in a few microseconds by colliding with bath gas.The relaxation rate coefficients for CH(X^(2)Π,v=0)radical in He,Ar,and N_(2)flow were obtained by time-resolved laser-induced fluorescence measurements,ranging from 10^(-12)cm^(3)·molecule^(-1)·s^(-1)to 10^(-11)cm^(3)·molecule^(-1)·s^(-1).The N_(2)flow exhibits the highest relax-ation rate for CH(X^(2)Π)radical due to its additional rovibrational levels,which allow for more efficient energy dissipation during collisions compared to monoatomic gases.The Ar flow shows a larger relaxation rate than He flow due to its greater polarizability and stronger long-range interaction with the CH(X^(2)Π)radical.展开更多
In this paper the velocity field and water level height of two- dimensional unsteady flow in open channel with double-line bridge are modelled with finite difference method of alternate direction.The ADI method is mod...In this paper the velocity field and water level height of two- dimensional unsteady flow in open channel with double-line bridge are modelled with finite difference method of alternate direction.The ADI method is modified according to the rapidly changed speed of the flow.Since empirical formulas are reasonably chosen at the inner-boundary,the calculating steadiness is increased and the calculating results improved. These are closer to real data.展开更多
It is proved that a class of multilinear singular integral operators with homogeneous kernels are bounded operators from the product spaces $L^{p_1 } \times L^{p_2 } \times \cdots \times L^{p_k } (\mathbb{R}^n )$ to t...It is proved that a class of multilinear singular integral operators with homogeneous kernels are bounded operators from the product spaces $L^{p_1 } \times L^{p_2 } \times \cdots \times L^{p_k } (\mathbb{R}^n )$ to the Hardy spacesH r , (? n ) and the weak Hardy spaceH r,∞ (? n . As an application of this result, the L p ,(? n ) boundedness of a class of commutator for the singular integral with homogeneous kernels is obtained.展开更多
By developing a comparison result and using the monotone iterative technique,we obtain the existence of the minimal and the maximal solutions to an integral boundary value problem for first order impulsive integro-dif...By developing a comparison result and using the monotone iterative technique,we obtain the existence of the minimal and the maximal solutions to an integral boundary value problem for first order impulsive integro-differential equations.展开更多
基金supported by the National Natural Science Foundation of China(No.22273103)the National Natural Science Foundation of China(NSFC Center for Chemical Dynamics)(No.22288201)+1 种基金Dalian Institute of Chemical Physics(DICP I202230)the Scientific Instrument Developing Project of the Chinese Academy of Sciences(grant GJJSTD20220001)。
文摘Collision-induced re-laxation process of CH(X^(2)Π,v=0)radical in various bath gases He,Ar,and N_(2)has been investigated ex-perimentally under low-temperature(26-52 K)supersonic flow conditions.The CH radicals were generat-ed with internal excitation by multiphoton photolysis of CHBr_(3)at 248 nm,and its rotational temperature was found to relax to the flow temperature in a few microseconds by colliding with bath gas.The relaxation rate coefficients for CH(X^(2)Π,v=0)radical in He,Ar,and N_(2)flow were obtained by time-resolved laser-induced fluorescence measurements,ranging from 10^(-12)cm^(3)·molecule^(-1)·s^(-1)to 10^(-11)cm^(3)·molecule^(-1)·s^(-1).The N_(2)flow exhibits the highest relax-ation rate for CH(X^(2)Π)radical due to its additional rovibrational levels,which allow for more efficient energy dissipation during collisions compared to monoatomic gases.The Ar flow shows a larger relaxation rate than He flow due to its greater polarizability and stronger long-range interaction with the CH(X^(2)Π)radical.
文摘In this paper the velocity field and water level height of two- dimensional unsteady flow in open channel with double-line bridge are modelled with finite difference method of alternate direction.The ADI method is modified according to the rapidly changed speed of the flow.Since empirical formulas are reasonably chosen at the inner-boundary,the calculating steadiness is increased and the calculating results improved. These are closer to real data.
基金Project supported in part by the National Natural Science Foundation of China (Grant No. 19131080) of ChinaDoctoral Programme Foundation of Institution of Higher Education (Grant No. 98002703) of China
文摘It is proved that a class of multilinear singular integral operators with homogeneous kernels are bounded operators from the product spaces $L^{p_1 } \times L^{p_2 } \times \cdots \times L^{p_k } (\mathbb{R}^n )$ to the Hardy spacesH r , (? n ) and the weak Hardy spaceH r,∞ (? n . As an application of this result, the L p ,(? n ) boundedness of a class of commutator for the singular integral with homogeneous kernels is obtained.
基金supported by Natural Science Foundation of Hunan(No.09JJ6010)
文摘By developing a comparison result and using the monotone iterative technique,we obtain the existence of the minimal and the maximal solutions to an integral boundary value problem for first order impulsive integro-differential equations.
