Results 121 to 130 of about 4,899,455 (291)

Traveling wave solutions of the Camassa–Holm equation

Journal of Differential Equations, 2005
The Camassa-Holm equation (CHE) arises as a model for the unidirectional propagation of shallow water waves over a flat bottom, as well as a model for nonlinear waves in a cylindrical axially symmetric hyperelastic rod. CHE is a bi-Hamiltonian equation with infinitely many conservation laws.
openaire   +1 more source

Longitudinal Multifrequency MR Elastography Reveals Biomechanical Signatures of Progression in a Translational Liver Tumor Model

Advanced Science, EarlyView.
Longitudinal multifrequency magnetic resonance elastography (mMRE) performed on a clinical 3 Tesla magnetic resonance imaging system reveals early biomechanical alterations during liver tumor progression in a translational VX2 model. Changes in tumor stiffness and viscosity precede diffusion‐related alterations and are associated with extracellular ...
Justus Ramtke, Friederike Hesse, Lasse Noack, Justus Klockner, Yubei He, Yu Liu, Yanglei Wu, Robin Schmidt, Selma Saclier, Salma A. S. Abosabie, Tom Meyer, Richard Ruppel, Nikolaus Berndt, Michael Mülleder, Eyk Schellenberger, Nicola Beindorff, Dominik N. Müller, Ingolf Sack, Jing Guo, Shraga Nahum Goldberg, Lynn Jeanette Savic   +20 more
wiley   +1 more source

Further investigation of the traveling-wave transistor [PDF]

, 1969
A brief introduction to the concept of a traveling-wave field-effect transistor is presented. Analytic solutions for certain lossless and lossy special cases are derived and a numerical method for solution of the general case developed.
Feugate, Robert J.
core   +1 more source

Passive Metasurface Tweezers for Multi‐Scale Orbital Transport and Trapping on Elastic Plates

Advanced Science, EarlyView.
Passive labyrinthine phase encoding converts single‐channel excitation into localized flexural‐wave vortices with programmable orbital angular momentum. The resulting vortex fields enable cross‐scale particle manipulation, including orbital transport, central confinement, and rotational actuation.
Zeyang Bi, Zhiqiang Li, Yunkang Ren, Yugui Peng, Xuefeng Zhu, Liuxian Zhao, Jun Yang, Chuanxing Bi   +7 more
wiley   +1 more source

Active Oscillations of Elastic Membranes Arising from the Coupling with a Catalytic Reaction

Advanced Science, EarlyView.
Coupling an elastic membrane to a catalytic reaction produces active oscillations that self‐sustain for hours: the membrane cyclically inflates and deflates as the reaction spontaneously activates and deactivates, without external power. Energy release is directly embodied in the oscillation dynamics, opening elasto‐chemical strategies for the physical
Alberto Comoretto, Samuel D. Gollob, Erik Steur, Kaitlyn P. Becker, Ellen T. Roche, Johannes T.B. Overvelde   +5 more
wiley   +1 more source

Exponentially slow traveling waves on a finite interval for Burgers' type equation

Electronic Journal of Differential Equations, 1998
In this paper we study for small positive $epsilon$ the slow motion of the solution for evolution equations of Burgers' type with small diffusion, $$ u_t=epsilon u_{xx}+f(u),u_x,, quad u(x,0)=u_0(x), quad u(pm 1,t)=pm 1, $$ on the bounded spatial domain $
Pieter De Groen, G. E. Karadzhov
doaj  

Wood Carbon Sponge/SiO2 Aerogel Composites with Anisotropic Broadband Microwave Absorption, Elastic Resilience, and Thermal Insulation

Advanced Science, EarlyView.
Anisotropic wood carbon sponge/SiO2 aerogel composites are constructed, revealing a robust direction‐dependent permittivity ordering (tangential > radial > axial). The radial direction delivers an ultra‐broadband effective absorption bandwidth of 11.6 GHz at only 4.95 mm, while the tangential direction offers superior compressibility and thermal ...
Shuo Sun, Zhimeng Zhao, Weikai Zhan, Yonggang Jiang, Fengqi Liu, Yijie Hu, Junzong Feng, Jian Feng   +7 more
wiley   +1 more source

Asymptotics of the solution of the Cauchy problem for a singularly perturbed system of hyperbolic equations in the critical case

Современная математика: Фундаментальные направления
We construct the first terms of the formal asymptotic expansion in a small parameter of the solution to the Cauchy problem with ``narrow cap'' initial conditions for a singularly perturbed system of wave equations in the critical case.
A. V. Nesterov
doaj   +1 more source

Travelling wave solutions for an internal wave model

Matemática Contemporânea, 2022
Willian Lesinhovski, Ailin de Zarate
openaire   +1 more source

A Hybrid Hierarchical Framework for Quantifying Mechanical Markers in Atherosclerotic Disease Progression: A New Approach for Diagnosis and Risk Assessment

Advanced Science, EarlyView.
The mechanobiological basis of atherosclerotic progression and its contribution to spatial and temporal heterogeneity remain incompletely understood. Spatially resolved AFM measurements revealed that plaque formation and distinct regions (cap fibrosis, intimal fibrosis, and lipid‐rich core) exhibit heterogeneous elastic modulus and viscoelastic ...
Yidan Zhou, Zhuo Chang, Xianjun Wu, Sijie Wang, Yuzhi Zhang, Hao Zhang, Haoyu Xu, Ruining Peng, Zhe Wang, Huiyun Xu, Yu Liu, Guangkui Xu, Nu Zhang, Hui Yang   +13 more
wiley   +1 more source