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.

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页数：25

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