刮板沉降箱式除尘可修复系统的适定性  

The Well-posedness Analysis of a Scraper Settling Chamber Repairable System with the Dust Removing

作　　者：赵志欣[1] 张欣[2] 范奕杰 周艳巍[3] ZHAO Zhi-xin ZHANG Xin FAN Yi-jie ZHOU Yan-wei(Department of Mathematics, Changchun Normal University, Changchun 130037, China Department of Mathematics, College of Science, Beijing Union University, Beijing 100101, China Department of Mathematics, College of Science, Yanbian University, Yanji 133002, China)

机构地区：[1]长春师范大学数学学院,吉林长春130032 [2]北京联合大学基础部,北京100101 [3]延边大学理学院数学系,吉林延吉133002

出　　处：《数学的实践与认识》2016年第22期244-250,共7页Mathematics in Practice and Theory

基　　金：长春师范大学自然科学基金(2013004);北京联合大学新起点计划(ZK10201616)

摘　　要：研究了修复不如新情形下刮板沉降箱式除尘可修复系统的适定性问题.首先将系统方程转化为Banach空间下的抽象Cauchy问题,进一步通过线性算子半群理论证明了系统的适定性.Under the assumption of any unit after repair is not as good as new,this paper studies the well-posedness of the scraper settling chamber repairable system with the dust removing.Firstly,the system equations can be transformed into the abstract Cauchy problem in the Banach space,then the well-posedness of the system can be obtained by the linear operator semigroup theory.

关 键 词：适定性 C0半群 非负解 

分 类 号：X72[环境科学与工程—环境工程] O177[理学—数学]