Results 41 to 50 of about 6,306,823 (285)

Topological Derivative-Based Topology Optimization of Linearized Viscous Shallow Water Equation

International Journal of Mathematics and Mathematical Sciences
In this paper, we focus on the derivation of the topological derivative of shallow water equations. We consider two-dimensional viscous shallow-water equations linearized around a constant velocity.
Mame Gor Ngom, Bakary Kourouma, Ibrahima Faye, Diaraf Seck   +3 more
doaj   +1 more source

Stability of stationary solutions for nonintegrable peakon equations [PDF]

, 2014
The Camassa-Holm equation with linear dispersion was originally derived as an asymptotic equation in shallow water wave theory. Among its many interesting mathematical properties, which include complete integrability, perhaps the most striking is the ...
S. Lafortune, Lafortune, Stephane, A.N.W. Hone, Hone, Andrew N.W.   +3 more
core   +1 more source

Advances in Solution‐Processed Textile Triboelectric Nanogenerators: Ink Formation, Processing Strategies, Applications, and Challenges

Advanced Functional Materials, EarlyView.
Advanced ink systems for solution‐processed textile triboelectric nanogenerators are systematically summarized, spanning conductive, tribo‐negative, and tribo‐positive layers. By connecting ink chemistry, deposition methods, and device function, the present review reveals the key governing principles of solution development and highlights practical ...
Xinlong Sun, Stephen Beeby
wiley   +1 more source

Solitary and cnoidal wave scattering by a submerged horizontal plate in shallow water

AIP Advances, 2017
Solitary and cnoidal wave transformation over a submerged, fixed, horizontal rigid plate is studied by use of the nonlinear, shallow-water Level I Green-Naghdi (GN) equations.
Masoud Hayatdavoodi, R. Cengiz Ertekin, Benjamin D. Valentine   +2 more
doaj   +1 more source

Homotopy Perturbation Method For Fractional Shallow Water Equations

Sultan Qaboos University Journal for Science, 2014
In this paper, the homotopy perturbation method is adopted to find explicit and numerical solutions for systems of non-linear fractional shallow water equations. The fractional derivatives are described in the Caputo sense.
Kamel Al-Khaled, M. K. Al-Safeen
doaj   +1 more source

Photo‐Switchable Molecular Module Programming PET Biodegradation in Aquatic Environments

Advanced Functional Materials, EarlyView.
We address the plastic durability paradox by integrating an itaconic acid–derived pyrrolidone module into polymer backbones. Sunlight in water triggers Norrish Type I ring‐opening and hydrophilization, enabling rapid biodegradation into nontoxic minerals.
Mohammad Asif Ali, Jixin Zheng, Satoshi Wakai, Jie Liu, Hidetaka Nomaki, Misato Tsukatani, Noriyuki Isobe, Jingcheng Sang, Yuriko Aoki, Hideo Okamura, Daisuke Sasaki, Chiaki Ogino, Yuzo Yamazaki, Takashi Nishikaze, Kenji Takada, Maiko K. Okajima, Tatsuo Kaneko   +16 more
wiley   +1 more source

THE SIMULATION OF ONE-DIMENSIONAL SHALLOW WATER WAVE EQUATION WITH MACCORMACK SCHEMES

Barekeng, 2022
Many practical problems can be modeled using the one-dimensional shallow water wave equation. Therefore, the solution to the one-dimensional shallow water wave equation will be discussed to solve this problem.
Iffah Nurlathifah Fikri, Sumardi Sumardi
doaj   +1 more source

Peakon solutions of the shallow water equation

Applied Mathematics Letters, 2001
This paper deals with the shallow water equation \[ U_t+ 3UU_x= U_{xxt}+ 2U_x U_{xx}- 2KU_x.\tag{1} \] The authors consider singular limits of quasiperiodic solutions when the spectral curve becomes singular and its arithmetic genus drops to zero. The solutions are then expressed in terms of purely exponential \(\tau\)-functions and they describe the ...
Mark S. Alber, Charles Miller
openaire   +2 more sources

Sacrificial‐Layer‐Assisted Heat‐Affected‐Zone Suppression in Laser Patterning of PET for High‐Performance Flexible Devices

Advanced Functional Materials, EarlyView.
A removable sacrificial polymer layer engineers the thermal boundary condition during nanosecond laser ablation of PET, suppressing heat‐affected‐zone formation without relying on costly ultrafast lasers. This strategy enables deep, high‐aspect‐ratio trenches with no detectable heat‐affected zone, templating silver‐filled mesh electrodes with record ...
Mehdi Zarei, Mirza Sahaluddin, Mostafa Bedewy, Paul W. Leu   +3 more
wiley   +1 more source

THE SIMULATION RESULTS OF THE BOAT IN SHALLOW WATER

Вестник Дагестанского государственного технического университета: Технические науки, 2016
The questions are considered of the movement vessel in shallow with constant and variable depth. The equations of dynamics vessel are obtained, permitting to allow the impact on the dynamics of shallow vessel by substituting the coefficients of the ...
Z. M. Abdullaeva, G. K. Aslanov, M. L. Yakhyaev   +2 more
doaj   +1 more source