This paper deals with the blow-up rate of positive solution for a semilinearparabolic system coupled in the equations and boundary condition. The upper and lower bounds ofblow-up rates are obtained.
In this paper we consider the initial-boundary value problems for a class ofapplications, such as biomathematics and biochemistry.Applying the method ofcomposile expansion we construct the formally asymptotic solution...In this paper we consider the initial-boundary value problems for a class ofapplications, such as biomathematics and biochemistry.Applying the method ofcomposile expansion we construct the formally asymptotic solution of the problemdescribed. With the help of theory of upper and lower solutions we prove the uniformlyvalidity of the formal solution and the existence of solution of the original problem.展开更多
利用黔东南州气象资料、三穗C波段多普勒天气雷达资料及FNL再分析资料对2016年4月3日发生在贵州省黔东南州的一次大范围弱冰雹天气过程进行诊断分析。结果表明:此次冰雹过程环流形势是典型的"前倾槽"结构,辐合线和冷锋共同触...利用黔东南州气象资料、三穗C波段多普勒天气雷达资料及FNL再分析资料对2016年4月3日发生在贵州省黔东南州的一次大范围弱冰雹天气过程进行诊断分析。结果表明:此次冰雹过程环流形势是典型的"前倾槽"结构,辐合线和冷锋共同触发了不稳定能量的释放,降雹前地面气温较高,冰雹在下降过程中融化较快,使黔东南州大范围性降弱雹;对流发生前垂直风切变较大,SI、K指数满足强雷暴条件,0℃层和-20℃层高度适宜,但CAPE值能量有限,不利于大冰雹的形成;对流发生时低空维持高湿状态,切变线两侧风速风向的辐合为对流的发生提供了充足的动力条件;雷达资料显示冰雹发生时,在0℃等温线高度上有50 d Bz以上的反射率因子结构,低层辐合、高层辐散,风随高度的变化是中低层顺转,高层逆转,这种上冷下暖的结构有助于空气层结的不稳定,利于对流的发生。展开更多
In this paper, we use a dynamical systems approach to prove the existence of traveling waves solutions for the Fisher-Kolmogorov density-dependent equation. Moreover, we prove the existence of upper and lower bounds f...In this paper, we use a dynamical systems approach to prove the existence of traveling waves solutions for the Fisher-Kolmogorov density-dependent equation. Moreover, we prove the existence of upper and lower bounds for these traveling wave solutions found previously. Finally, we present a particular example which has several applications in the mathematical biology field.展开更多
文摘This paper deals with the blow-up rate of positive solution for a semilinearparabolic system coupled in the equations and boundary condition. The upper and lower bounds ofblow-up rates are obtained.
文摘In this paper we consider the initial-boundary value problems for a class ofapplications, such as biomathematics and biochemistry.Applying the method ofcomposile expansion we construct the formally asymptotic solution of the problemdescribed. With the help of theory of upper and lower solutions we prove the uniformlyvalidity of the formal solution and the existence of solution of the original problem.
文摘利用黔东南州气象资料、三穗C波段多普勒天气雷达资料及FNL再分析资料对2016年4月3日发生在贵州省黔东南州的一次大范围弱冰雹天气过程进行诊断分析。结果表明:此次冰雹过程环流形势是典型的"前倾槽"结构,辐合线和冷锋共同触发了不稳定能量的释放,降雹前地面气温较高,冰雹在下降过程中融化较快,使黔东南州大范围性降弱雹;对流发生前垂直风切变较大,SI、K指数满足强雷暴条件,0℃层和-20℃层高度适宜,但CAPE值能量有限,不利于大冰雹的形成;对流发生时低空维持高湿状态,切变线两侧风速风向的辐合为对流的发生提供了充足的动力条件;雷达资料显示冰雹发生时,在0℃等温线高度上有50 d Bz以上的反射率因子结构,低层辐合、高层辐散,风随高度的变化是中低层顺转,高层逆转,这种上冷下暖的结构有助于空气层结的不稳定,利于对流的发生。
文摘In this paper, we use a dynamical systems approach to prove the existence of traveling waves solutions for the Fisher-Kolmogorov density-dependent equation. Moreover, we prove the existence of upper and lower bounds for these traveling wave solutions found previously. Finally, we present a particular example which has several applications in the mathematical biology field.
