Results 141 to 150 of about 538,398 (307)

Dictionary‐based weak‐form training for noise‐robust series hybrid models with multiplicative unknowns

open access: yesAIChE Journal, EarlyView.
ABSTRACT Hybrid modeling combines first‐principles equations with a data‐driven subcomponent. Training for the data‐driven part is sensitive to measurement noise when training targets are constructed using pointwise time derivatives. Beyond differentiation errors, hybrid models involve solving an inverse problem to estimate the data‐driven term, which ...
Hangjun Cho   +4 more
wiley   +1 more source

Wave-breaking phenomena and global solutions for periodic two-component Dullin-Gottwald-Holm systems

open access: yesElectronic Journal of Differential Equations, 2013
In this article we study the initial-value problem for the periodic two-component b-family system, including a special case, when b = 2, which is referred to as the two-component Dullin-Gottwald-Holm (DGH) system.
Min Zhu, Junxiang Xu
doaj  

Blow-Up Solution and Blow-Up Rate of Bose-Einstein Condensates with Rotational Term

open access: yes, 2016
In this thesis, we discuss the Gross Pitaevskii Equation (GPE) with harmonic potential and with an angular momentum rotational term in space R^2, which describes the model for Bose-Einstein Condensation.
Basharat, Nyla
core  

Blow-up solution for the degeneratequasilinear parabolic system with nonlinear boundary condition

open access: yes, 2005
In this paper, we discuss the global existence and blow-up of the solution to the quasilinear parabolic system with nonlinear boundary condition. We also discuss the blow-up set of the blow-up solution and obtain the blow-up rate of the blow-up solution ...
Zhou, Li, Xie, Chun-Hong, Duan, Zhi-Wen
core   +1 more source

Bubbles Acting as Micro End‐Effectors for Dexterous Manipulation and Sensing in Aqueous Environment

open access: yesAdvanced Intelligent Systems, Volume 7, Issue 3, March 2025.
Inspired by bubbles, this article proposes a low‐cost method for multifunctional manipulation and sensing using microbubbles in aqueous environments. Bubbles are easily generated in situ, enabling the safe and adaptive handling of microobjects and sensing of microforces and surface textures.
Zichen Xu, Qingsong Xu
wiley   +1 more source

Numerical method of estimating the blow-up time and rate of the solution of ordinary differential equations—An application to the blow-up problems of partial differential equations

open access: yes, 2006
A numerical method is proposed for estimating the blow-up time and the blow-up rate of the solution of ordinary differential equation (ODE), when the solution diverges at a finite time, that is, the blow-up time.
Hirota, Chiaki, Ozawa, Kazufumi
core   +1 more source

Microfluidic Valve‐Integrated Garment for Smooth Sequential Gradient Mechanotherapy

open access: yesAdvanced Intelligent Systems, EarlyView.
We present a soft wearable sleeve that delivers smooth, gap‐free compression using overlapping air‐filled actuators and tiny microfluidic valves. The system reduces bulk, lowers power needs, and uses a smartphone‐sized control box. It can provide sequential gradient compression, gradient pressure holding, and fast deflation, supporting more portable ...
Run Ze Gao   +5 more
wiley   +1 more source

Pre‐Curved Everting Robots With Embedded Steering Intelligence Fabricated by CO2 Laser Welding

open access: yesAdvanced Intelligent Systems, EarlyView.
Design and experimental demonstration of a laser welded growing robot for anatomically guided navigation. The robot follows an aortic arch phantom entering the branchiocephalic branch through steering by design. The figure shows the physical phantom setup, CAD defined weld geometry and full robot eversion.
Brandon Saldarriaga   +5 more
wiley   +1 more source

Blow-up rate of solution to generalised Blasius equation

open access: yes
We identify the blow-up rate of a solution to a generalised Blasius equation, that we came across while studying a probabilistic model of "Poissonian burning" in Euclidean space. Our proof involves the study of the long-time behaviour of solutions to a Lotka--Volterra system.
Blanc, Guillaume, Contat, Alice
openaire   +2 more sources

On the blow-up rate of large solutions for a porous media logistic equation on radial domain

open access: yes, 2007
In this paper we establish the exact blow-up rate of the large solutions of a porous media logistic equation. We consider the carrying capacity function with a general decay rate at the boundary instead of the usual cases when it can be approximated by a
Peng Feng, Feng, Peng
core   +1 more source

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