Results 61 to 70 of about 40,383 (355)

CONSERVATION LAWS AND SYMMETRY ANALYSIS OF (1+1)-DIMENSIONAL SAWADA-KOTERA EQUATION [PDF]

Vestnik KRAUNC: Fiziko-Matematičeskie Nauki, 2017
The paper addresses an extended (1+1)-dimensional Sawada-Kotera (SK) equation. The Lie symmetry analysis leads to many plethora of solutions to the equation.
S. R. Hejazi, E. Lashkarian
doaj   +1 more source

Group invariant solutions of wave propagation in phononic materials based on the reduced micromorphic model via optimal system of Lie subalgebra

Results in Physics, 2023
In this paper the system of equations arising from a simplified micromorphic model is studied using the Lie symmetry approach. The advantage of this approach is that is provides exact invariant solutions rather than numerical or approximate ones reported
M. Usman, Akhtar Hussain, F.D. Zaman, Sayed M. Eldin   +3 more
doaj   +1 more source

Clinical Practice Guideline for Evaluation and Management of Peripheral Nervous System Manifestations in Sjögren's Disease

Arthritis Care &Research, EarlyView.
Objective Sjögren's disease is an autoimmune disorder that can impact multiple organ systems, including the peripheral nervous system (PNS). PNS manifestations, which can exist concurrently, include mononeuropathies, polyneuropathies, and autonomic nervous system neuropathies.
Anahita Deboo, Robert Fox, Katherine M. Hammitt, Julie Frantsve‐Hawley, Matthew C. Baker, Stamatina Danielides, Eduardo De Sousa, Brent P. Goodman, Jennifer K. King, Steven Mandel, Ghaith Noaiseh, Pantelis P. Pavlakis, George Sarka, R. Hal Scofield, Arun Varadhachary, Daniel J. Wallace, Matt Makara, Nancy Carteron, Steven Carsons, in collaboration with the Consensus Expert Panel (CEP) members, G. Alden Adkins, Brittany Adler, Hossein Ansari, Senada Arabelovic, Alan Baer, Denis Balaban, Shamik Bhattacharyya, Evelyn Bromet, Krishna Chaganti, Kamal Chemali, Melissa Cortez, Schartess Culpepper, Paul Dellaripa, Dana Direnzo, Daniel El Bogdadi, Robert Fearon, Mehrnez Fischbach, Judi Furlong, Christopher Gibbons, Rachael Gordon, Thomas Grader Beck, Syed Haider, Larry Hollenbeck, Chadwick R. Johr, Stuart S. Kassan, Brian King, Octavia Kincaid, Eugene Kissin, Vasileios Kyttaris, Lindsay Lally, Brandon M. Law, Janet Lewis, Scott M. Lieberman, Amanda Lusa, Joseph Lutt, Rashmi Maganti, Arthur M. Mandelin, Sara McCoy, Kerry Neall, Timothy Niewold, Anne Louise Oaklander, Ruben A. Peredo‐Wende, Lynn Petruzzi, Mark A. Porter, Guada Respicio Duque, Tania Reyna, Nathaniel M. Robbins, Elliot D. Rosenstein, Laura Rosow, Breanna Ruthrauff, Amit Sachdev, Nora Sandorfi, Sarah Schafer, Elena Schiopu, Chokkalingam Siva, Daniel Small, Sara M. Stern, Lauren Stiles, Susan Stoddard, Jinny Tavee, Donald Thomas, Edward L. Treadwell, Nagagopal Venna, Steven Vernino, Frederick B. Vivino, Brittany Weber, Sepideh Yadollahi, Huiying Yu, Scott Zashin   +88 more
wiley   +1 more source

Disturbation to Lie symmetry for constrained Hamiltonian system within Agrawal’s operators

AIP Advances
Lie theorem for a constrained Hamiltonian system under Agrawal’s operators is studied and proved. First, two fractional singular systems are listed.
Shi-Lei Shen, Chuan-Jing Song
doaj   +1 more source

Symmetry-breaking in a rate model for a biped locomotion central pattern generator [PDF]

, 2014
The timing patterns of animal gaits are produced by a network of spinal neurons called a Central Pattern Generator (CPG). Pinto and Golubitsky studied a four-node CPG for biped dynamics in which each leg is associated with one flexor node and one ...
Ian Stewart, Stewart, Ian
core   +1 more source

Lie Bialgebra Structures on the Lie Algebra L Related to the Virasoro Algebra

, 2023
A Lie bialgebra is a vector space endowed simultaneously with the structure of a Lie algebra and the structure of a Lie coalgebra, and some compatibility condition. Moreover, Lie brackets have skew symmetry.
Jia Zheng, Yihong Su, Xue Chen
core   +1 more source

Planar Solid‐State Nanopores Toward Scalable Nanofluidic Integration Based on CMOS Technology

Advanced Engineering Materials, EarlyView.
We present a scalable silicon‐based fabrication strategy for planar solid‐state nanopores to enable their integration with complex nanofluidic systems. Prototype devices demonstrate normal voltage‐current characteristics, good noise performance, and appreciable streaming currents. Our CMOS‐compatible fabrication process offers precise geometric control
Ngan Hoang Pham, Chenyu Wen, Mohammad Hadi Khaksaran, Won‐Yong Lee, Javier Cruz, Klas Hjort, Dongping Wu, Shi‐Li Zhang   +7 more
wiley   +1 more source

Lie symmetries applied to interval integration

Automatica, 2022
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Julien Damers, Luc Jaulin, Simon Rohou
openaire   +2 more sources

Combined Process‐ and Phase‐Field‐Simulation to Predict the Microstructure of Single‐Crystal Ni‐Based Superalloys

Advanced Engineering Materials, EarlyView.
A combined finite element and phase‐field approach predicts the evolution of microstructure during the directional solidification of Ni‐based superalloys. The model reveals how withdrawal rate, temperature gradient, and wall thickness control the dendrite spacing, highlighting the strong effect of surface regions in thin sections where dendrite growth ...
Sean Böhm, André B. Baldissera, Rainer Völkl, Uwe Glatzel   +3 more
wiley   +1 more source

Lie groups and continuum mechanics: where do we stand today?

Comptes Rendus. Mécanique
The geometric methods have experienced a fast growth in the past few decades. In this survey, we discuss the use of Lie groups in continuum mechanics. We address both the theoretical and numerical aspects.
de Saxcé, Géry, Razafindralandy, Dina
doaj   +1 more source