聚乙二醇催化合成含三唑大环醚化合物

香草醛(1)和3-取代-4-氨基-5-巯基-1,2,4-均三唑(4)分别与对二氯苄(2)缩合得相应的0,0′-取代二(香草醛)(3)和S,S′-取代双(氨基均三唑)(5).3与5用聚乙二醇-600催化缩环合方便制得含三唑大环醚化合物6.     

TIME PERIODIC SOLUTIONS OF NON-ISENTROPIC COMPRESSIBLE MAGNETOHYDRODYNAMIC SYSTEM

In this paper, we study the non-isentropic compressible magnetohydrodynamic system with a time periodic external force in Rn. Under the condition that the optimal time decay rates are obtained by spectral analysis, we show that the existence, uniqueness and time-asymptotic stability of time periodic solutions when the space dimension n ≥ 5. Our proof is based on a combination of the energy method and the contraction mapping theorem.     

THE ENERGY CONSERVATION OF THE LANDAU-LIFSHITZ-BLOCH EQUATION

In this paper,we consider the three-dimensional Landau-Lifshitz-Bloch equation in the whole space,which can describe the micromagnetic dynamic behavior of material at all temperatures,especially near the Curie temperature.We establish a sufficient condition of energy conservation for when weak solutions of the Landau-Lifshitz-Bloch equation with the temperature higher than the Curie temperature and its gradient belong to the Besov space■ for some α∈(1/2,1) and p=9/3α+1.Moreover,we also use the d...