Results 101 to 110 of about 259,447 (315)

Solution of boundary value problems for batteries: Operator‐theoretic methods

AIChE Journal, EarlyView.
Abstract Batteries with porous electrodes of negligible ionic and electronic conduction resistance are modeled with reaction‐diffusion equations in multilayered media. The classical separation of variables becomes inapplicable to battery problems because of nonlinearities in reaction rates and constraints of imposed current. A linear operator‐theoretic
Doraiswami Ramkrishna, Kandukuri S. Gandhi   +1 more
wiley   +1 more source

Nonzero positive solutions of fractional Laplacian systems with functional terms

Mathematische Nachrichten, Volume 296, Issue 1, Page 102-121, January 2023., 2023
Abstract We study the existence of nonzero positive solutions of a class of systems of differential equations driven by fractional powers of the Laplacian. Our approach is based on the notion of fixed point index, and allows us to deal with nonlocal functional weights and functional boundary conditions. We present two examples to shed light on the type
Stefano Biagi, Alessandro Calamai, Gennaro Infante   +2 more
wiley   +1 more source

Laplace Transformations of Submanifolds [PDF]

arXiv, 2013
Let $x : M \to E^m$ be an isometric immersion of a Riemannian manifold $M$ into a Euclidean $m$-space. Denote by $\Delta$ the Laplace operator of $M$. Then $\Delta$ gives rise to a differentiable map $L :M \to E^m$, called the Laplace map, defined by $L(p)=(\Delta x)(p)$, $p\in M$. We call $L(M)$ the Laplace image, and the transformation $L :M \to L(M)$
arxiv  

Bioinspired Moisture‐Driven Soft Robotic Actuator

Advanced Intelligent Systems, EarlyView.
In response to the evolving field of robotics, the demand for soft actuator materials has surged, prompting a shift toward biomimetic models, notably plant‐based actuators. The Arundo donax species exemplifies a unique hinged single‐unit actuation system and a combined mechanism utilizing atmospheric water content, offering multifunctional capabilities.
Akshay Balachandran, Nair Abhigith Ravindran, Ghulam Mohd, Irfan Majeed Bhat, Saswati Priyadarshini, Saifullah Lone   +5 more
wiley   +1 more source

Fractional Laplace operator and Meijer G-function [PDF]

arXiv, 2015
We significantly expand the number of functions whose image under the fractional Laplace operator can be computed explicitly. In particular, we show that the fractional Laplace operator maps Meijer G-functions of |x|^2, or generalized hypergeometric functions of -|x|^2, multiplied by a solid harmonic polynomial, into the same class of functions. As one
arxiv  

Liquid Metal Reversible Contacts for Flexible Tactile Sensor with High Sensitivity and Wide Detection Range

Advanced Intelligent Systems, EarlyView.
This work presents a novel flexible tactile sensor based on the unconventional reversible contact behavior between liquid metal droplets (LMDs), with high‐pressure sensitivity and a broad working range. The 2‐LMD‐based sensor is capable of monitoring human motion and physiological signals, while electrical impedance tomography enables precise shape and
Shuai Dong, Gang Ma, Zhaowan Xiong, Du‐An Ge, Yipu Guo, Weihua Li, Shiwu Zhang   +6 more
wiley   +1 more source

Stochastic Hydrodynamic Velocity Field and the Representation of Langevin Equations

Annalen der Physik, EarlyView.
A lumped method is proposed to account for both mean‐field hydrodynamics and stochastic fluctuations within the kinematic equations of motion, providing a regularized formulation of the overdamped approximation. The concept of stochastic realizability in broad sense is introduced based on the spectral properties of the Fredholm operator associated with
Massimiliano Giona, Davide Cocco, Giuseppe Procopio   +2 more
wiley   +1 more source

Maximum Principle for the Space-Time Fractional Conformable Differential System Involving the Fractional Laplace Operator

Journal of Mathematics, 2020
In this paper, the authors consider a IBVP for the time-space fractional PDE with the fractional conformable derivative and the fractional Laplace operator. A fractional conformable extremum principle is presented and proved.
Tingting Guan, Guotao Wang
doaj   +1 more source

Stability for the Infinity-Laplace Equation with variable exponent [PDF]

arXiv, 2011
The stability for the viscosity solutions of a differential equation with a perturbation term added to the Infinity-Laplace Operator is studied. This is the so-called Infinity-Laplace Equation with variable exponent infinity. An approximation of the identity is crucial for the proofs.
arxiv  

Superhydrophobic Solution Blow Spinning PTFE–SiO2 Composite Membranes for Enhanced Liquid–Liquid Extraction

Journal of Applied Polymer Science, EarlyView.
Solution blow spinning PTFE‐SiO2 membrane for membrane assisted solvent extraction. ABSTRACT An ultrafine‐fibrous polytetrafluoroethylene (PTFE)–SiO2 membrane was successfully fabricated using the solution blow spinning (SBS) method. This membrane demonstrated superhydrophobicity (water contact angle > 150°) and oleophilicity (ethyl acetate contact ...
Yaozhong Zhang, Pei‐Yin Diao, Ramin Farnood   +2 more
wiley   +1 more source