Special solutions for an equation arising in sand ripple dynamics

被引：1

作者：

Colucci, Renato ^{[1
]}

机构：

[1] Univ Politecn Marche, Dipartimento Ingn & Sci Matemat, Via Brecce Bianche 12, I-60131 Ancona, Italy

来源：

NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS | 2022年 / 67卷

关键词：

Pattern formation; Travelling wave solutions; Sand ripples; MODEL; DUNES; WIND;

D O I：

10.1016/j.nonrwa.2022.103629

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study a nonlinear fourth order evolution equation arising in the context of sand ripple dynamics. We analyse the set of stationary solutions and travelling waves in order to recover the observed phenomenology such as different wavelengths ripples, travelling waves, coarsening and time scales. Moreover, we construct an approximate solution which describes the early stages of the dynamics and which suggests the existence of coarsening and of time scales with different dynamical behaviour. (c) 2022 Elsevier Ltd. All rights reserved.

引用

页数：24

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