Mathematical analysis of a three-dimensional eutrophication model

被引:17
|
作者
Alvarez-Vazquez, Lino J. [1 ]
Fernandez, Francisco J. [2 ]
Munoz-Sola, Rafael [2 ]
机构
[1] Univ Vigo, Dept Matemat Aplicada 2, ETSI Telecomunicac, Vigo 36310, Spain
[2] Univ Santiago de Compostela, Fac Matemat, Dept Matemat Aplicada, E-15706 Santiago, Spain
关键词
Eutrophication; Existence; Uniqueness; Weak solution; Very weak solution; NUTRIENT; COASTAL; IDENTIFICATION; SEDIMENTATION; EXISTENCE;
D O I
10.1016/j.jmaa.2008.08.031
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper we present and analyze a nutrient-phytoplankton-zooplankton-organic detritus-dissolved oxygen mathematical model simulating eutrophication processes into aquatic media. As a main result, we obtain existence and uniqueness results for the solution of the system. under realistic hypotheses of non-smooth coefficients (in particular, a non-regular water velocity). This lack or regularity prevent us from using the standard semigroup approach, forcing us towards the utilization of more refined techniques. (C) 2008 Elsevier Inc. All rights reserved.
引用
收藏
页码:135 / 155
页数:21
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