Results 91 to 100 of about 104,532 (267)

Strict solutions of nonlinear hyperbolic neutral differential equations

Applied Mathematics Letters, 1999
By using the theory of integrated semigroups, conditions for existence, uniqueness, and regularity of solutions to the Cauchy problem \(x_0=\varphi\in C_E:=C([-r,0],E) \) for the neutral functional-differential equation \[ [x(t) - Lx_t]' = A_0 x(t) + F(t,x_t),\qquad t\geq 0,\tag \(*\) \] are obtained.
Adimy, M., Ezzinbi, K.
openaire   +2 more sources

Multimodal Cross‐Attentive Graph‐Based Framework for Predicting In Vivo Endocrine Disruptors

Advanced Science, EarlyView.
A multimodal cross‐attentive graph neural network integrates molecular graphs with androgen and estrogen adverse outcome pathway (AOP)–anchored in vitro assay signals to predict in vivo endocrine disruption. By fusing information on Tier‐1 AOP logits with chemical structures, the framework achieves high accuracy and provides assay‐traceable ...
Eder Soares de Almeida Santos, Gustavo Felizardo Santos Sandes, Artur Christian Garcia da Silva, Holli‐Joi Martin, Eugene N. Muratov, Rodolpho de Campos Braga, Bruno Junior Neves   +6 more
wiley   +1 more source

Emerging Device Applications From Strong Light–Matter Interactions in 2D Materials

Advanced Science, EarlyView.
Two‐dimensional semiconductors enable extremely compact optoelectronic devices such as solar cells, sensors, LEDs, and lasers. Their strong light–matter interactions allow efficient light emission, detection, and energy conversion. This review article discusses the recent progress in integrating these materials with optical cavities and nanostructures ...
Janani Archana K, Kumar Shwetabh, Reyas Ali, Ramji Velayutham, Koustav Das, Abhishek Mondal, Prashant Kumar, Surendra B. Anantharaman   +7 more
wiley   +1 more source

On the structure and lifespan of smooth solutions for the two-dimensional hyperbolic geometric flow equation

Advances in Nonlinear Analysis
In this article, we investigate the initial value problem for the hyperbolic geometric flow equation, which is derived from hyperbolic geometric flow for Riemannian metric.
Wang Yinxia, Wang Yuzhu, Zhao Feiyan
doaj   +1 more source

A boundary value problem in the hyperbolic space

Abstract and Applied Analysis, 1999
We consider a nonlinear problem for the mean curvature equation in the hyperbolic space with a Dirichlet boundary data g. We find solutions in a Sobolev space under appropriate conditions on g.
P. Amster, G. Keilhauer, M. C. Mariani
doaj   +1 more source

Hyperbolic Skyrmions

, 2015
We investigate SU(2) Skyrmions in hyperbolic space, by computing numerical solutions of the nonlinear field equation. We first demonstrate the link between increasing curvature and the accuracy of the rational map approximation to the minimal energy ...
Winyard, Thomas
core  

Hierarchical Artificial Muscle with Nonlinear Elasticity for Antagonistic and Cyclic Robotics

Advanced Science, EarlyView.
We construct hierarchical muscles by plying nylon fibers around a heating wire. The hierarchical muscle shows a J‐shaped passive curve, which shows benefit in antagonistic muscle pair and work accumulation mechanism. We also develop a computational, first‐principle model to understand the physics of both active actuation stroke and passive J‐curve ...
Samuel Tsai, Liuyang Cheng, Ali Albazroun, Qiong Wang, Jeongmin Kim, Arman Tekinalp, Soonwook Kim, Charlie Simcox, Ryne Downing, Vagish Sivaramakrishnan, Grace Carsello, Miles Bimrose, Wonsik Eom, William P. King, Mattia Gazzola, Sameh Tawfick   +15 more
wiley   +1 more source

A Laminating Strategy to Manyfold Enhance the Elastic Stretchability of Stretchable Electronics

Advanced Science, EarlyView.
We propose a laminating strategy that laminates a thick‐polymer layer onto the thin‐ribbon metallic structure. Using serpentine structures on soft and hard substrates as representative cases, this approach increases elastic stretchability by 3.5‐fold and 2.3‐fold.
Zanxin Zhou, Xiaolei Wu, Xinkai Xu, Fanming Wang, Shuang Li, Huiling Li, Yewang Su   +6 more
wiley   +1 more source

Soliton solutions to the time-dependent coupled KdV–Burgers’ equation

Advances in Difference Equations, 2019
In this article, the authors apply the Lie symmetry approach and the modified (G′/G) $( G'/G )$-expansion method for seeking the solutions of time-dependent coupled KdV–Burgers equation.
Aisha Alqahtani, Vikas Kumar
doaj   +1 more source

NONLINEAR REGULARIZING EFFECT FOR HYPERBOLIC PARTIAL DIFFERENTIAL EQUATIONS [PDF]

XVIth International Congress on Mathematical Physics, 2010
The Tartar-DiPerna compensated compactness method, used initially to construct global weak solutions of hyperbolic systems of conservation laws for large data, can be adapted in order to provide some regularity estimates on these solutions. This note treats two examples: (a) the case of scalar conservation laws with convex flux, and (b) the Euler ...
openaire   +2 more sources