Results 71 to 80 of about 48,120 (302)

Conservation Laws for a Variable Coefficient Variant Boussinesq System

open access: yesAbstract and Applied Analysis, 2014
We construct the conservation laws for a variable coefficient variant Boussinesq system, which is a third-order system of two partial differential equations. This system does not have a Lagrangian and so we transform it to a system of fourth-order, which
Ben Muatjetjeja, Chaudry Masood Khalique
doaj   +1 more source

Approximate Conservation Laws of Nonvariational Differential Equations

open access: yesMathematics, 2019
The concept of an approximate multiplier (integrating factor) is introduced. Such multipliers are shown to give rise to approximate local conservation laws for differential equations that admit a small perturbation.
Sameerah Jamal
doaj   +1 more source

Advancing Lithium–Oxygen Batteries: Pioneering Cathode Catalyst Innovation and Artificial Intelligence‐Driven Design Paradigms

open access: yesAdvanced Materials, EarlyView.
This review summarizes the principles and challenges of nonaqueous lithium‐oxygen batteries and recent advances in cathode catalysts, including carbon‐based materials, metals, oxides, sulfides, nitrides, carbides, and redox mediators. It highlights emerging design strategies and artificial intelligence‐driven approaches, emphasizing data‐assisted ...
Yuqing Yao   +8 more
wiley   +1 more source

Fully discrete high resolution schemes for systems of conservation laws [PDF]

open access: yes, 1994
Effective and robust high resolution schemes are of vital importance for simulation of viscous and inviscid flows. Since second-order high resolution schemes in practice are inadquate for many applications, large efforts have been put towards ...
Shi, Jian
core  

On the Conservation Laws and Exact Solutions of a Modified Hunter-Saxton Equation

open access: yesAdvances in Mathematical Physics, 2014
We study the modified Hunter-Saxton equation which arises in modelling of nematic liquid crystals. We obtain local conservation laws using the nonlocal conservation method and multiplier approach.
Sait San, Emrullah Yaşar
doaj   +1 more source

Lie symmetry and μ-symmetry methods for nonlinear generalized Camassa–Holm equation

open access: yesAdvances in Difference Equations, 2021
In this paper, a Lie symmetry method is used for the nonlinear generalized Camassa–Holm equation and as a result reduction of the order and computing the conservation laws are presented.
H. Jafari   +4 more
doaj   +1 more source

Transient Laser‐Shocked Synthesis of Amorphous Layer‐Supported Metal Nanocrystals for Efficient Nitrate Reduction

open access: yesAdvanced Materials, EarlyView.
A general, versatile laser‐shock synthesis process is reported to produce various bimetallic CuNi, CuFe, CuCo, and medium‐entropy CuFeCoNi heterostructures, in which crystalline metal nanoparticles are anchored to amorphous hydroxide supports. During nitrate reduction reaction, the heterostructures undergo dynamic amorphous/crystalline reconstruction ...
Weihua Guo   +18 more
wiley   +1 more source

conservation-laws/ryujin: ryujin version 2.0.0

open access: yes, 2021
High-performance second-order collocation-type finite-element scheme for solving the compressible Navier-Stokes and Euler equations of gas dynamics on unstructured ...
Eric Tovar   +3 more
core   +1 more source

Benchmarking Coaxial and Angular Optical Emission Spectroscopy With Recommendations for Reliable Compositional In Situ Monitoring During Laser Powder Bed Fusion

open access: yesAdvanced Materials Technologies, EarlyView.
ABSTRACT Real‐time insight into local chemistry is critical for reliable part quality in additive manufacturing, especially laser powder bed fusion (PBF‑LB/M), where rapid thermal cycles and localized evaporation can undermine part performance. Optical emission spectroscopy (OES) offers non‑intrusive, in situ plume monitoring, but detection geometry ...
Philipp Gabriel   +4 more
wiley   +1 more source

On New Conservation Laws of Fin Equation

open access: yesAdvances in Mathematical Physics, 2014
We study the new conservation forms of the nonlinear fin equation in mathematical physics. In this study, first, Lie point symmetries of the fin equation are identified and classified.
Gülden Gün Polat   +2 more
doaj   +1 more source

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