Results 91 to 100 of about 321,760 (289)

Regularity for anisotropic fully nonlinear integro-differential equations

open access: yes, 2014
We consider fully nonlinear integro-differential equations governed by kernels that have different homogeneities in different directions. We prove a nonlocal version of the ABP estimate, a Harnack inequality and the interior \(C^{1, \gamma }\) regularity,
Caffarelli, Luis A.   +2 more
core   +1 more source

Pointlike Material Accumulation and Displacement in Azopolymer Thin Films Driven by Spatial Light Modulation

open access: yesAdvanced Optical Materials, EarlyView.
A maskless, SLM‐driven approach enables the deterministic inscription of arbitrary topographical features in azopolymer films by mapping complex vectorial light fields onto local viscoplastic stress. This platform allows for the rapid generation and dynamic erasure of high‐aspect‐ratio micro‐spikes, offering a versatile tool for reconfigurable flat ...
Jonas Strobelt   +3 more
wiley   +1 more source

Anisotropic elliptic problems involving Hardy-type potentials

open access: yes, 2013
We give existence, uniqueness, and regularity of the solutions of anisotropic elliptic ...
Della Pietra Francesco, Gavitone Nunzia
core   +1 more source

Origami‐Inspired Structural Design for Aquatic‐Terrestrial Amphibious Robots

open access: yesAdvanced Robotics Research, EarlyView.
This work presents a lightweight amphibious origami robot actuated by a single shape memory alloy wire. A rigid foldable origami structure with displacement amplification enables efficient terrestrial crawling and aquatic swimming. The addition of fan‐shaped units allows controllable turning in both environments.
Weiqi Liu   +5 more
wiley   +1 more source

A numerical scheme for regularized anisotropic curve shortening flow

open access: yesApplied Mathematics Letters, 2006
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Frank Haußer, Axel Voigt
openaire   +3 more sources

Durability of Soft Pneumatic Actuators: A Review and Benchmarking Protocol

open access: yesAdvanced Robotics Research, EarlyView.
Lack of durability is a key challenge hindering the broad scale adoption of soft pneumatic actuators (SPAs) in automation industries. This review provides a comprehensive overview of existing research on SPA durability, introduces a standardized durability benchmarking protocol to consolidate the testing of SPAs, and outlines promising directions for ...
Dickson Chiu Yu Wong   +2 more
wiley   +1 more source

On the result of He concerning the smoothness of solutions to the Navier-Stokes equations

open access: yesElectronic Journal of Differential Equations, 2003
We improve the regularity criterion for the Navier-Stokes equations proved by He [4]. We show that for the Cauchy problem the Leray-Hopf weak solution is smooth provided $ abla u_3 in L^t(0,T;L^s)$, $frac 2t + frac 3s leq frac 32$.
Milan Pokorny
doaj  

NeuroSuite for Long‐Term Functional and Structural Studies of Air‐Liquid Interface Cerebral Organoids

open access: yesAdvanced Science, EarlyView.
NeuroSuite provides a modular hardware‐software platform integrating Neuroweb and NeuroMaps to enable long‐term, in situ electrophysiological interrogation of air–liquid interface organoid slices while preserving tissue architecture. Its components can be used together or independently to capture real‐time activity, spatial network dynamics, and ...
Belquis Haider   +14 more
wiley   +1 more source

Nonlinear anisotropic elliptic equations with variable exponents and degenerate coercivity

open access: yesElectronic Journal of Differential Equations, 2018
In this article, we prove the existence and the regularity of distributional solutions for a class of nonlinear anisotropic elliptic equations with $p_i(x)$ growth conditions, degenerate coercivity and $L^{m(\cdot)}$ data, with $m(\cdot)$ being small,
Hocine Ayadi, Fares Mokhtari
doaj  

Dissipativity Constraints in Zener-Type Time Dispersive Electromagnetic Materials of the Fractional Type

open access: yesFractal and Fractional
Thermodynamic constraints must be satisfied for the parameters of a constitutive relation, particularly for a model describing an electromagnetic (or any other) material with the intention of giving that model a physical meaning.
Teodor M. Atanacković   +3 more
doaj   +1 more source

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