| 定常态渠道法采集地下卤水过程的一个简化的数学模型及其适定性 |
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| 引用本文： | 李海龙.定常态渠道法采集地下卤水过程的一个简化的数学模型及其适定性[J].盐湖研究,1995,3(3):70-73. |
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| 作者姓名： | 李海龙 |
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| 作者单位： | 中科院青海盐湖研究所 |
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| 摘 要： | 定常态渠道法采集地下卤水［１］的过程可由一类拟线性椭圆型方程的定解问题来描述，该定解问题在区域内部的曲线（集卤渠）上满足等值面边界条件。在适当假设下该定解问题可简化为求一线性定解问题的非负解。本文给出了该非负解存在唯一的充分条件。
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| 关 键 词： | 定常态渠道法采卤过程，椭圆型定解问题，等值面边界条件，非负解 |
A Simplified Mathematical Model for the Steady-state Course of Underground Brine Catchment by Digging-Ditch Method and Its Well-Posedness |
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| Li Hailong.A Simplified Mathematical Model for the Steady-state Course of Underground Brine Catchment by Digging-Ditch Method and Its Well-Posedness[J].Journal of Salt Lake Research,1995,3(3):70-73. |
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| Authors: | Li Hailong |
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| Abstract: | The steady-state course of underground brine catchment and extraction using diggingditch method can be described by a solution-determination problem of a qusilinearellipticpartial differential equation. On the curve that represents the brine-catchment ditch inside the domain considered, the elevation of the underground brine satisfies constant-value-surface boundary condition. Under appropriate hypothesis, the problem can be simplified to finding non-negative solution to a linear elliptic problem. Sufficient conditions under which there exits a unique nonnegative solution to the simplified linear problem are given. |
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| Keywords: | The steady-state course of underground brine catchmentand extraction Elliptic solution-determination problem Constant-value-surface boundary condition Nonnegative solution |
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