Results 31 to 40 of about 219,479 (266)

The Variational Principle for the Uniform Acceleration and Quasi-Spin in Two Dimensional Space-Time [PDF]

, 2008
The variational principle and the corresponding differential equation for geodesic circles in two dimensional (pseudo)-Riemannian space are being discovered.
Matsyuk, Roman Ya.
core   +4 more sources

Predicting Atomic Charges in MOFs by Topological Charge Equilibration

Advanced Functional Materials, EarlyView.
An atomic charge prediction method is presented that is able to accurately reproduce ab‐initio‐derived reference charges for a large number of metal–organic frameworks. Based on a topological charge equilibration scheme, static charges that fulfill overall neutrality are quickly generated.
Babak Farhadi Jahromi, Sumukh Shankar Sharadaprasad, Rochus Schmid   +2 more
wiley   +1 more source

Lagrange's Equations [PDF]

Nature, 1903
As most of the standard treatises on dynamics contain satisfactory proofs of Lagrange's equations, I do not see that any useful purpose is served by proposing an additional one. The important point is this:—That amongst the numerous forms in which the kinetic energy of a dynamical system can be expressed, there is only one form which can be employed in
openaire   +1 more source

Time-Fractional KdV Equation: Formulation and Solution using Variational Methods

, 2011
In this work, the semi-inverse method has been used to derive the Lagrangian of the Korteweg-de Vries (KdV) equation. Then, the time operator of the Lagrangian of the KdV equation has been transformed into fractional domain in terms of the left-Riemann ...
A. A. Mahmoud, A. Babakhani, A.A. Kilbas, D. Baleanu, D. Baleanu, D. Baleanu, D. Baleanu, D. Delbosco, D.J. Korteweg, E. M. Abulwafa, E.M. Rabei, F. Riewe, F. Riewe, G.S.F. Frederico, H. Bateman, I. Podlubny, J.-H. He, J.-H. He, J.-H. He, J.-H. He, J.-H. He, J.A. Tenreiro Machado, M. A. Zahran, M. Attari, M. Inokuti, M.A.E. Herzallah, M.K. Fung, M.S. Tavazoei, N. Heymans, O.P. Agrawal, O.P. Agrawal, O.P. Agrawal, O.P. Agrawal, R.V. Mendes, R.Y. Molliq, S. A. El-Wakil, S. Momani, S. Saha Ray, S.G. Samko, S.I. Muslih, S.Q. Zhang, V.E. Tarasov, V.E. Tarasov, Y. Luchko   +43 more
core   +1 more source

Computational Modeling Meets 3D Bioprinting: Emerging Synergies in Cardiovascular Disease Modeling

Advanced Healthcare Materials, EarlyView.
Emerging advances in three‐dimensional bioprinting and computational modeling are reshaping cardiovascular (CV) research by enabling more realistic, patient‐specific tissue platforms. This review surveys cutting‐edge approaches that merge biomimetic CV constructs with computational simulations to overcome the limitations of traditional models, improve ...
Tanmay Mukherjee, Mehdi Salar Amoli, Sarah Rezapourdamanab, Lama Rita El Shammas, Martin L. Tomov, Emilio A. Mendiola, Vahid Serpooshan, Reza Avazmohammadi   +7 more
wiley   +1 more source

A Novel Variational Principle in Electrostatics and its Consequences

, 2013
We propose a novel variational principle in electrostatics and show that one can derive mirror equation in the context of image problem starting from this principle.
Bhattacharya, Kolahal
core   +1 more source

Purpose‐Adaptable Reinforced 3D Hyaluronic‐Acid Based Platform to Study Pathomechanisms of the Central Nervous System

Advanced Healthcare Materials, EarlyView.
Platform system to create biofabricated 3D spinal cord tissue models: Combining high resolution PCL fiber placement, a customized, hyaluronic acid‐based hydrogel, two cell types (spinal cord neurons and astrocytes) together with three distinct laminin isoforms allow the formation of functional cell–cell network interactions.
Nicoletta Murenu, Esra Tuerker, Anna‐Lena Wiessler, Jessica Faber, Ievgenii Liashenko, Jeanette Weigelt, Jörg Tessmar, Paul D. Dalton, Sibylle Jablonka, Mateo S. Andrade Mier, Carmen Villmann, Silvia Budday, Natascha Schaefer   +12 more
wiley   +1 more source

On third Poisson structure of KdV equation

, 1995
The third Poisson structure of KdV equation in terms of canonical ``free fields'' and reduced WZNW model is discussed. We prove that it is ``diagonalized'' in the Lagrange variables which were used before in formulation of 2D gravity.
A. Alekseev, A. Gorsky, A. Marshakov, A. Orlov, A. Polyakov, E. Arbarello, F. Magri, G. Wilson, S. Lukyanov, V. Drinfeld, V. Fateev, V. Knizhnik, V. Rubtsov   +12 more
core   +1 more source

Passive Shape‐Adaptive Fluidic Interface for Enhanced Skin‐Sensor Coupling in Wearable Devices

Advanced Materials Technologies, EarlyView.
This study presents a passive fluidic interface for wearable biosensors that adapts to static and dynamic body shape changes to maintain consistent skin contact. Flexible, fluid‐filled pouches redistribute pressure from high‐load areas to regions requiring improved contact, enhancing signal quality and comfort in a compact, low‐energy design for ...
Natalia Sanchez‐Tamayo, Andrew Akerson, Ehsan Hajiesmaili, Tianshu Liu, Ryan Stull, Jonathan Stewart, Amirhossein Amini   +6 more
wiley   +1 more source

Variational Iteration Method for q-Difference Equations of Second Order

Journal of Applied Mathematics, 2012
Recently, Liu extended He's variational iteration method to strongly nonlinear q-difference equations. In this study, the iteration formula and the Lagrange multiplier are given in a more accurate way.
Guo-Cheng Wu
doaj   +1 more source