An Arbitrary Lagrangian Eulerian formulation for a 3D eutrophication model in a moving domain

被引：7

作者：

Alvarez-Vazquez, Lino J. ^{[1
]}

Fernandez, Francisco J. ^{[2
]}

Lopez, Isabel ^{[1
]}

Martinez, Aurea ^{[1
]}

机构：

[1] Univ Vigo, Dept Matemat Aplicada 2, ETSI Telecomunicac, Vigo 36310, Spain

[2] Univ Santiago de Compostela, Dept Matemat Aplicada, Fac Matemat, E-15706 Santiago, Spain

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2010年 / 366卷 / 01期

关键词：

Eutrophication; Existence; Uniqueness; Non-cylindrical domain; Arbitrary Lagrangian Eulerian formulation; IDENTIFICATION; OXYGEN;

D O I：

10.1016/j.jmaa.2010.01.045

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This work analyzes a realistic mathematical model that governs eutrophication (an ecological process involving nutrients, phytoplankton, zooplankton, organic detritus and dissolved oxygen) into a moving aquatic domain. As a main result, we obtain existence-uniqueness results for the solution of the system within the general framework of non-cylindrical domains (based on studying the properties of a generic parabolic problem). The fact of dealing with moving domains, and the lack of regularity, preclude the use of standard semigroup, approach, forcing us towards the utilization of Arbitrary Lagrangian Eulerian techniques. (C) 2010 Elsevier Inc. All rights reserved.

引用

页码：319 / 334

页数：16

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