Full Justification for the Extended Green–Naghdi System for an Uneven Bottom with/without Surface Tension

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2023-10-10 DOI:10.4171/prims/59-3-6

Bashar Khorbatly, Samer Israwi

引用次数: 5

Abstract

This paper is a continuation of a previous work on the extended Green–Naghdi system. We prolong the system, in arbitrary dimension, with/without surface tension, and for a general bottom topography. Confining the work to the one-dimensional case, wellposedness and consistency with respect to initial data and parameters are proved, taking into account the effect of surface tension. The results are local, but long term in the sense of dependence upon initial data. As a conclusion, our solution remains close to the exact solution of the full Euler system with a better (smaller) precision and therefore the full justification of the models.

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对于有/没有表面张力的不均匀底部，扩展Green-Naghdi系统的充分论证

本文是先前关于扩展Green-Naghdi系统的工作的延续。我们延长系统，在任意尺寸，有无表面张力，并为一般的底部地形。将工作限制在一维情况下，考虑到表面张力的影响，证明了初始数据和参数的适定性和一致性。结果是局部的，但在依赖于初始数据的意义上是长期的。作为结论，我们的解仍然接近完整欧拉系统的精确解，具有更好(更小)的精度，因此模型的充分证明。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Accounts of Chemical Research 化学-化学综合

CiteScore

31.40

自引率

1.10%

发文量

312

审稿时长

2 months

期刊介绍： Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance. Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.