In this article, we are concerned with the stability of stationary solution for outflow problem on the Navier-Stokes-Poisson system. We obtain the unique existence and the asymptotic stability of stationary solution. ...In this article, we are concerned with the stability of stationary solution for outflow problem on the Navier-Stokes-Poisson system. We obtain the unique existence and the asymptotic stability of stationary solution. Moreover, the convergence rate of solution towards stationary solution is obtained. Precisely, if an initial perturbation decays with the algebraic or the exponential rate in space, the solution converges to the corresponding stationary solution as time tends to infinity with the algebraic or the exponential rate in time. The proof is based on the weighted energy method by taking into account the effect of the self-consistent electric field on the viscous compressible fluid.展开更多
本研究旨在应用康奈尔绵羊净碳水化合物和蛋白质体系(Cornell sheep net carbohydrate and protein system,CNCPS-S)的瘤胃降解预测模型预测日粮碳水化合物(CHO)瘤胃有效降解率,并实测验证CNCPS-S模型预测值的准确性。选取3只安装瘤胃...本研究旨在应用康奈尔绵羊净碳水化合物和蛋白质体系(Cornell sheep net carbohydrate and protein system,CNCPS-S)的瘤胃降解预测模型预测日粮碳水化合物(CHO)瘤胃有效降解率,并实测验证CNCPS-S模型预测值的准确性。选取3只安装瘤胃瘘管、体重分别为(38.03±1.56)kg的哈萨克公羊作为试验动物,配制3种精粗比分别为30∶70、35∶65、40∶60的全混合日粮(TMR),利用瘤胃灌注试验和尼龙袋试验实测3种日粮CHO的瘤胃外流速度(Kp)和降解率,同时利用CNCPS-S模型预测3种日粮CHO的Kp与降解率,对CHO的降解率预测值和实测值进行线性回归分析,评价模型预测的准确性。结果表明:3种TMR的瘤胃食糜Kp随精料比例增加而依次升高(P<0.01),分别为3.58%/h、3.83%/h、4.05%/h,据此计算而得的CHO的降解率分别为42.7%、43.1%、42.3%(P>0.05);随精料比例的增加,3种TMR的瘤胃食糜Kp的模型预测值依次升高(P>0.05),分别为1.62%/h、1.63%/h、1.64%/h,CHO瘤胃降解率的预测值分别为39.5%、39.1%、39.6%(P>0.05);3种日粮CHO瘤胃降解率的预测值与实测值之间的平均偏差比较小(≤4 g/100 g CHO),相关性较高(R2≥0.86),均方根误差也较低(RMSE≤1.93 g/100 g CHO)。以上结果说明,CNCPS-S瘤胃降解预测模型对日粮CHO的降解率具有较好的预测能力。展开更多
基金supported by the National Natural Science Foundation of China(11331005,11471134)the Program for Changjiang Scholars and Innovative Research Team in University(IRT13066)the Scientific Research Funds of Huaqiao University(15BS201,15BS309)
文摘In this article, we are concerned with the stability of stationary solution for outflow problem on the Navier-Stokes-Poisson system. We obtain the unique existence and the asymptotic stability of stationary solution. Moreover, the convergence rate of solution towards stationary solution is obtained. Precisely, if an initial perturbation decays with the algebraic or the exponential rate in space, the solution converges to the corresponding stationary solution as time tends to infinity with the algebraic or the exponential rate in time. The proof is based on the weighted energy method by taking into account the effect of the self-consistent electric field on the viscous compressible fluid.
文摘本研究旨在应用康奈尔绵羊净碳水化合物和蛋白质体系(Cornell sheep net carbohydrate and protein system,CNCPS-S)的瘤胃降解预测模型预测日粮碳水化合物(CHO)瘤胃有效降解率,并实测验证CNCPS-S模型预测值的准确性。选取3只安装瘤胃瘘管、体重分别为(38.03±1.56)kg的哈萨克公羊作为试验动物,配制3种精粗比分别为30∶70、35∶65、40∶60的全混合日粮(TMR),利用瘤胃灌注试验和尼龙袋试验实测3种日粮CHO的瘤胃外流速度(Kp)和降解率,同时利用CNCPS-S模型预测3种日粮CHO的Kp与降解率,对CHO的降解率预测值和实测值进行线性回归分析,评价模型预测的准确性。结果表明:3种TMR的瘤胃食糜Kp随精料比例增加而依次升高(P<0.01),分别为3.58%/h、3.83%/h、4.05%/h,据此计算而得的CHO的降解率分别为42.7%、43.1%、42.3%(P>0.05);随精料比例的增加,3种TMR的瘤胃食糜Kp的模型预测值依次升高(P>0.05),分别为1.62%/h、1.63%/h、1.64%/h,CHO瘤胃降解率的预测值分别为39.5%、39.1%、39.6%(P>0.05);3种日粮CHO瘤胃降解率的预测值与实测值之间的平均偏差比较小(≤4 g/100 g CHO),相关性较高(R2≥0.86),均方根误差也较低(RMSE≤1.93 g/100 g CHO)。以上结果说明,CNCPS-S瘤胃降解预测模型对日粮CHO的降解率具有较好的预测能力。
