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一类地下水水质污染问题广义解的唯一性及对初值和自由项的连续依赖性
引用本文:陈小刚. 一类地下水水质污染问题广义解的唯一性及对初值和自由项的连续依赖性[J]. 内蒙古工业大学学报, 1999, 0(3)
作者姓名:陈小刚
作者单位:内蒙古工业大学基础部!内蒙古呼和浩特,010062
摘    要:本文讨论了一类地下水水质污染问题,其数学模型为一组非线性双曲—抛物耦合方程组,并证明了在相应初边值条件下广义解的唯一性及对初值和自由项的连续依赖性.

关 键 词:非线性双曲—抛物耦合方程组  广义解  唯一性  连续依赖性

UNIQUENESS AND CONTINUOUS DEPENDENCE OF GENERALIZED SOLUTION TO A SORT OF CONTAMINATION PROBLEMS OF GROUNDWATER QUALITY
CHEN Xiao gang. UNIQUENESS AND CONTINUOUS DEPENDENCE OF GENERALIZED SOLUTION TO A SORT OF CONTAMINATION PROBLEMS OF GROUNDWATER QUALITY[J]. Journal of Inner Mongolia Polytechnic University(Social Sciences Edition), 1999, 0(3)
Authors:CHEN Xiao gang
Abstract:In this paper,a sort of contamination problems of groundwater quality is discussed whose mathematical model is formed of nonlinear hyperbolic parabolic coupled equations.The uniqueness of the generalized solution under corresponding initial and boundary value conditions as well as its continuous dependence on the initial value and the free term is proved.
Keywords:nonlinear hyperbolic parabolic coupled equations  generalized solution  uniqueness  continuous dependence  
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