Angled Crested Like Water Waves with Surface Tension II: Zero Surface Tension Limit

Author:

Agrawal Siddhant

Abstract

This is the second paper in a series of papers analyzing angled crested like water waves with surface tension. We consider the 2D capillary gravity water wave equation and assume that the fluid is inviscid, incompressible, irrotational and the air density is zero. In the first paper \cite{Ag19} we constructed a weighted energy which generalizes the energy of Kinsey and Wu \cite{KiWu18} to the case of non-zero surface tension, and proved a local wellposedness result. In this paper we prove that under a suitable scaling regime, the zero surface tension limit of these solutions with surface tension are solutions to the gravity water wave equation which includes waves with angled crests.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Reference39 articles.

1. Angled crested like water waves with surface tension: wellposedness of the problem;Agrawal, Siddhant;Comm. Math. Phys.,2021

2. Rigidity of singularities of 2D gravity water waves;Agrawal, Siddhant;J. Differential Equations,2020

3. Low regularity solutions for gravity water waves;Ai, Albert;Water Waves,2019

4. Low regularity solutions for gravity water waves II: The 2D case;Ai, Albert;Ann. PDE,2020

5. Albert Ai, Mihaela Ifrim, and Daniel Tataru, Two dimensional gravity waves at low regularity I: Energy estimates, Preprint, arXiv:1910.05323, 2019.

同舟云学术

1.学者识别学者识别

2.学术分析学术分析

3.人才评估人才评估

"同舟云学术"是以全球学者为主线,采集、加工和组织学术论文而形成的新型学术文献查询和分析系统,可以对全球学者进行文献检索和人才价值评估。用户可以通过关注某些学科领域的顶尖人物而持续追踪该领域的学科进展和研究前沿。经过近期的数据扩容,当前同舟云学术共收录了国内外主流学术期刊6万余种,收集的期刊论文及会议论文总量共计约1.5亿篇,并以每天添加12000余篇中外论文的速度递增。我们也可以为用户提供个性化、定制化的学者数据。欢迎来电咨询!咨询电话:010-8811{复制后删除}0370

www.globalauthorid.com

TOP

Copyright © 2019-2024 北京同舟云网络信息技术有限公司
京公网安备11010802033243号  京ICP备18003416号-3