Collection
Variational Theory for Non-Continuum Mechanics
- Submission status
- Closed
The variational theory is the theoretical foundation for continuum mechanics. A powerful mathematical tool for dealing with porous media, unsmooth boundaries and lattice mechanics was found recently with the fractal variational theory. The Topical Collection on Variational Theory for Non-Continuum Mechanics edited by Ji-Huan He focusses on the following topics:
• Fractal Theory for Non-Continuum Mechanics,
• Variational Principles in a Fractal Space (Porous Medium),
• Hamiltonian Principle for a Dissipative System,
• Variational-Based Analytical Methods and
• Fractal Variational Theory for Fluid Mechanics and Turbulence Models.
Editors
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Ji-Huan He
Soochow University, Suzhou, China
Articles (9 in this collection)
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A study of moisture content in unsaturated porous medium by using homotopy perturbation method (HPM) and variational iteration method (VIM)
Authors (first, second and last of 9)
- Gohar Rehman
- Shengwu Qin
- Naveed ur Rahman
- Content type: OriginalPaper
- Published: 06 January 2022
- Article: 3
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Solitary waves of the fractal Whitham–Broer–Kaup equation in shallow water
Authors
- Yan-Hong Liang
- Guo-Dong Wang
- Kang-Jia Wang
- Content type: Original Paper
- Published: 22 October 2021
- Article: 22
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An analysis of time-fractional heat transfer problem using two-scale approach
Authors
- Qura Tul Ain
- Naveed Anjum
- Chun-Hui He
- Content type: Original Paper
- Published: 08 September 2021
- Article: 18
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He’s frequency formulation for nonlinear vibration of a porous foundation with fractal derivative
Authors
- Guang-Qing Feng
- Jing-Yan Niu
- Content type: Original Paper
- Published: 24 July 2021
- Article: 14
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Analytical methods for the variable-coefficient KP equation and its wave solutions in weakly dispersive media
Authors
- Sheng Zhang
- Dexin Zhang
- Content type: Original Paper
- Published: 14 July 2021
- Article: 13
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Two-scale mathematical model for tsunami wave
Authors
- Naveed Anjum
- Qura Tul Ain
- Xiao-Xia Li
- Content type: Original Paper
- Published: 11 May 2021
- Article: 10
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On a variational principle for the fractal Wu–Zhang system arising in shallow water
Authors
- Yan-Hong Liang
- Kang-Jia Wang
- Content type: Original Paper
- Published: 18 April 2021
- Article: 8
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Numerical solutions of the fractal foam drainage equation
Authors (first, second and last of 5)
- Siddra Habib
- Asad Islam
- Muhammad Nadeem
- Content type: Original Paper
- Published: 09 April 2021
- Article: 7