以益生菌Lactobacillus casei Zhang为研究对象,通过观察该菌株在普通MRS培养基中连续传代1 000代期间细胞形态、菌落形态、活菌数、浊度和菌株活力的变化对其稳定性进行了初步评价。结果表明,L.casei Zhang在1000代期间细胞形态与菌落...以益生菌Lactobacillus casei Zhang为研究对象,通过观察该菌株在普通MRS培养基中连续传代1 000代期间细胞形态、菌落形态、活菌数、浊度和菌株活力的变化对其稳定性进行了初步评价。结果表明,L.casei Zhang在1000代期间细胞形态与菌落形态没有发生变化;活菌数、浊度均和菌株活力随培养代数的增加呈现波动性变化,但波动幅度较小,总数基本维持不变。上述研究结果初步表明L.casei Zhang具有良好的稳定性,暗示其可用于产业化生产。展开更多
This paper deals with the stability analysis of numerical methods for the solution of delay differential equations. We focus on the behaviour of three θ-methodsin the solution of the linear test equation u'(t)-A(...This paper deals with the stability analysis of numerical methods for the solution of delay differential equations. We focus on the behaviour of three θ-methodsin the solution of the linear test equation u'(t)-A(t)u(t)+B(t)u( (t)) with (t)and A(t),B(t) continuous matrix functions. The stability regions for the threeθ-methods are determined.展开更多
The paper is concerned with time-asymptotic behavior of solution near a local Maxwellian with rarefaction wave to a fluid-particle model described by the Vlasov-Fokker-Planck equation coupled with the compressible and...The paper is concerned with time-asymptotic behavior of solution near a local Maxwellian with rarefaction wave to a fluid-particle model described by the Vlasov-Fokker-Planck equation coupled with the compressible and inviscid fluid by Euler-Poisson equations through the relaxation drag frictions,Vlasov forces between the macroscopic and microscopic momentums and the electrostatic potential forces.Precisely,based on a new micro-macro decomposition around the local Maxwellian to the kinetic part of the fluid-particle coupled system,which was first developed in[16],we show the time-asymptotically nonlinear stability of rarefaction wave to the one-dimensional compressible inviscid Euler equations coupled with both the Vlasov-Fokker-Planck equation and Poisson equation.展开更多
文摘This paper deals with the stability analysis of numerical methods for the solution of delay differential equations. We focus on the behaviour of three θ-methodsin the solution of the linear test equation u'(t)-A(t)u(t)+B(t)u( (t)) with (t)and A(t),B(t) continuous matrix functions. The stability regions for the threeθ-methods are determined.
基金supported by the NNSFC grant No.11971044partially supported by NNSFC grants No.11671385 and 11688101CAS Interdisciplinary Innovation Team
文摘The paper is concerned with time-asymptotic behavior of solution near a local Maxwellian with rarefaction wave to a fluid-particle model described by the Vlasov-Fokker-Planck equation coupled with the compressible and inviscid fluid by Euler-Poisson equations through the relaxation drag frictions,Vlasov forces between the macroscopic and microscopic momentums and the electrostatic potential forces.Precisely,based on a new micro-macro decomposition around the local Maxwellian to the kinetic part of the fluid-particle coupled system,which was first developed in[16],we show the time-asymptotically nonlinear stability of rarefaction wave to the one-dimensional compressible inviscid Euler equations coupled with both the Vlasov-Fokker-Planck equation and Poisson equation.
