Slowly Traveling Gravity Waves for Darcy Flow: Existence and Stability of Large Waves

被引：1

作者：

Brownfield, John ^{[1
]}

Nguyen, Huy Q. ^{[1
]}

机构：

[1] Univ Maryland, Dept Math, College Pk, MD 20742 USA

来源：

COMMUNICATIONS IN MATHEMATICAL PHYSICS | 2024年 / 405卷 / 10期

关键词：

CAPILLARY SOLITARY WAVES; WATER; LUMPS;

D O I：

10.1007/s00220-024-05103-6

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We study surface gravity waves for viscous fluid flows governed by Darcy's law. The free boundary is acted upon by an external pressure posited to be in traveling wave form with a periodic profile. It has been proven that for any given speed, small external pressures generate small periodic traveling waves that are asymptotically stable. In this work, we construct a class of slowly traveling waves that are of arbitrary size and asymptotically stable. Our results are valid in all dimensions and for both the finite and infinite depth cases.

引用

页数：25

共 26 条

[1] On the Cauchy problem for gravity water waves [J].