SINGULARLY PERTURBED DEGENERATED PARABOLIC EQUATIONS AND APPLICATION TO SEABED MORPHODYNAMICS IN TIDED ENVIRONMENT

被引：18

作者：

Faye, Ibrahima ^{[1
,3
]}

Frenod, Emmanuel ^{[2
]}

Seck, Diaraf ^{[3
,4
]}

机构：

[1] Univ Bambey, Bambey, Senegal

[2] Univ Bretagne Sud, Univ Europeenne Bretagne, Lab STICC UMR CNRS 3192, Ctr Yves Coppens, F-56017 Vannes, France

[3] Ecole Doctorale Math & Informat, Lab Math Decis & Anal Numer, Faseg Fst, Senegal

[4] Univ Cheikh Anta Diop Dakar, Dakar, Senegal

来源：

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS | 2011年 / 29卷 / 03期

关键词：

Degenerated Parabolic Equation; Space-Time Periodic Solutions; Homogenization; Asymptotic Analysis; Asymptotic Expansion; Long Time Behavior; Dune and Megaripple Morphodynamics; Modeling Coastal Zone Phenomena; LONG-TIME BEHAVIOR; DIFFERENTIAL-EQUATIONS; PERIODIC-SOLUTIONS; CONVERGENCE; HOMOGENIZATION; TRANSPORT; MODEL;

D O I：

10.3934/dcds.2011.29.1001

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we build models for short-term, mean-term and longterm dynamics of dune and megariple morphodynamics. They are models that are degenerated parabolic equations which are, moreover, singularly perturbed. We, then give an existence and uniqueness result for the short-term and mean-term models. This result is based on a time-space periodic solution existence result for degenerated parabolic equation that we set out. Finally the short-term model is homogenized.

引用

页码：1001 / 1030

页数：30

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