期刊信息
- 刊名： 河北师范大学学报（自然科学版）Journal of Hebei Normal University (Natural Science)
- 主办： 河北师范大学
- ISSN： 1000-5854
- CN： 13-1061/N
- 中国科技核心期刊
- 中国期刊方阵入选期刊
- 中国高校优秀科技期刊
- 华北优秀期刊
- 河北省优秀科技期刊
一类刻画沿海含水层系统的二阶抛物方程组边值问题解析解的存在唯一性
- 河海大学 理学院, 江苏 南京 210098
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DOI：10.13763/j.cnki.jhebnu.nse.2020.02.001
The Existence and Uniqueness of Analytical Solutions to Boundary Value Problems for a Class of Second-order Parabolic Systems Characterizing Coastal Aquifer Systems
摘要/Abstract
摘要：
为了求解一类二阶抛物型方程组边值问题解的存在唯一性，刻画了在潮汐与内陆补给的共同影响下，由半透水层和延伸至海底的承压含水层组成的沿海含水层体系.利用复空间中的分离变量法，求出了此方程组的显式解析解.同时，利用反证法证明了此解析解是唯一的.
Abstract：
The purpose of this paper is to solve the existence and uniqueness of solutions to boundary value problems for a class of second-order parabolic systems.The system characterizes the coastal aquifer system consisting of a semipermeable layer and a confined aquifer extending to bottom of the sea,under the influence of tide and inland supplies.This paper mainly use the method of separation of variables in the complex space to get the explicit analytical solutions of the system.At the same time,we prove the uniqueness of this analytical solution by contradiction.
关键词
参考文献 9
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