Exact synchronization and asymptotic synchronization for linear ODEs

Science China Mathematics - This paper studies exact synchronization and asymptotic synchronization problems for a controlled linear system of ordinary differential equations. In this paper, we...     

带分数阶耗散项的Quasi-geostrophic方程周期解的大时间性态

本文主要讨论带有分数阶耗散项的quasi-geostrophic(QG)方程的周期解的大时间性态,并且对初值θ_0没有小性的要求.对于次临界(1/2α1)和临界(α=1/2)两种情况,证明了方程的周期解均具有指数级的衰减性.     

Low Mach limit to one-dimensional nonisentropic planar compressible magnetohydrodynamic equations

This paper is concerned with a one-dimensional nonisentropic compressible planar magnetohydrodynamic flow with general initial data, whose behaviors at far fields x→±∞ are different. The low Mach limit for the system is rigorously justified. The limit relies on the uniform estimates including weighted time derivatives and an extended convergence lemma.     

High diastereoselective synthesis of spiro-isoxazolonechromans via domino oxa-Michael/1,6-addition reactions of ortho-hydroxyphenylsubstituted para-quinone methides with unsaturated isoxazolones

A mild Et₃N-catalyzed novel domino oxa-Michael/1,6-addition reaction of ortho-hydroxyphenylsubstituted p-QMs and unsaturated isoxazolones is described. Various new spiro-isoxazolonechromans were obtained in good yields (up to 89%) with excellent diastereoselectivities (>99:1 dr). The structure of the new compound 3a was determined by single crystal X-ray analysis.     

有机化学实验混合教学模式的设计与实践

通过介绍混合教学模式在有机化学实验课程教学中的设计、实施情况及效果评价与反馈等内容,与大家分享混合教学模式在有机化学实验课程教学中的应用经验与思考。     

Mixing state of individual carbonaceous particles during a severe haze episode in January 2013,Nanjing,China

Chemical composition,hourly counts,and sizes of atmospheric carbonaceous particles were measured to investigate their mixing state on clear and hazy days.623,122 carbonaceous particles with sizes0.2-2.0 μm was analyzed using a single-particle aerosol mass spectrometer from 1st to 17 th January2013.Particle types included biomass/biofuel burning particles(biomass),element carbon(EC-dominant)particles that were also mixed with biomass/biofuel burning species(EC-biomass) or secondary species(EC-secondary),organic carbon(OC),internally mixed OC and EC(OCEC),ammonium-containing(ammonium) and sodium-containing(sodium) particles.On clear days the top ranked carbonaceous particle types were biomass(48.2%),EC-biomass(15.7%),OCEC(11.1%),and sodium(9.6%),while on hazy days they were biomass(37.3%),EC-biomass(17.6%),EC-secondary(16.6%),and sodium(12.7%).The fractions of EC-secondary,ammonium(10%),and sodium particle types were elevated on hazy days.Numbers of EC-secondary particles were more than four times those on clear days(4.1%).Thus,carbonaceous particles mixed with ammonium,nitrate and sulfate during aging and transport,enhancing their light extinction effects and hygroscopic growth under high relative humidity on hazy days,further reducing visibility.Our real-time single-particle data showed that changes to mixing state had a significant impact on light extinction during haze events in Nanjing.     

Efficient Synthesis of Five Types of Heterocyclic Compounds via Intramolecular Elimination Using Ultrasound‐Static Heating Technique

An experimental technique, ultrasound‐static heating, has been developed for the efficient synthesis of heterocyclic compounds. The technique involves ultrasonic irradiation and static heating processes. First, the ultrasonic irradiation process is performed to form an intermediate of the heterocyclic compound under mild conditions and the subsequent static heating process (heating the intermediate under solvent‐free conditions without stirring) produces the target heterocyclic compounds via intramolecular elimination.