变系数分形长波模型的变分方法

IF 1.1 4区工程技术 Q4 THERMODYNAMICS

Thermal Science Pub Date : 2023-01-01 DOI:10.2298/tsci2303779m

Q. Ma, Ruifu Yuan, Chun Wang

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引用次数: 0

摘要

本文用分形微积分描述了沿非光滑边界运动的正则长波，并利用分形半逆方法建立了其分形变分原理，这对构造分形空间中的守恒律和研究解析解的结构有很大的帮助，并得到了分形孤波解。

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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Variational method to fractal long-wave model with variable coefficients

In this paper, a regularized long wave travelling along an unsmooth boundary is depicted by the fractal calculus, and its fractal variational principle is established via the fractal semi-inverse method, which is very helpful to construct the conservation laws in the fractal space and to study the structure of the analytical solution, and a fractal solitary wave solution is obtained.

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来源期刊

Thermal Science 工程技术-热力学

CiteScore

2.70

自引率

29.40%

发文量

399

审稿时长

5 months

期刊介绍： The main aims of Thermal Science to publish papers giving results of the fundamental and applied research in different, but closely connected fields: fluid mechanics (mainly turbulent flows), heat transfer, mass transfer, combustion and chemical processes in single, and specifically in multi-phase and multi-component flows in high-temperature chemically reacting flows processes present in thermal engineering, energy generating or consuming equipment, process and chemical engineering equipment and devices, ecological engineering, The important characteristic of the journal is the orientation to the fundamental results of the investigations of different physical and chemical processes, always jointly present in real conditions, and their mutual influence. To publish papers written by experts from different fields: mechanical engineering, chemical engineering, fluid dynamics, thermodynamics and related fields. To inform international scientific community about the recent, and most prominent fundamental results achieved in the South-East European region, and particularly in Serbia, and - vice versa - to inform the scientific community from South-East European Region about recent fundamental and applied scientific achievements in developed countries, serving as a basis for technology development. To achieve international standards of the published papers, by the engagement of experts from different countries in the International Advisory board.