Results 81 to 90 of about 129,784 (278)
Geometry Analysis of Two Photon Polymerized Microneedles—An Experimental and Simulated Approach
Journal of Applied Polymer Science, EarlyView.This research investigates the mechanical stability of hollow, two‐photon‐polymerized microneedles for drug delivery. In an experimental setup, a steel stamp gradually compresses 1000 μm‐tall microneedles while recording their force–deformation response.
Cordelia F. Wittemann +4 more
wiley +1 more source
The fractional Cheeger problem
, 2013 Given an open and bounded set $\Omega\subset\mathbb{R}^N$, we consider the problem of minimizing the ratio between the $s-$perimeter and the $N-$dimensional Lebesgue measure among subsets of $\Omega$.
Brasco, Lorenzo +2 more
core +4 more sources
A Hybrid Semi‐Inverse Variational and Machine Learning Approach for the Schrödinger Equation
Advanced Physics Research, EarlyView.A hybrid semi‐inverse variational and machine‐learning framework is presented for solving the Schrödinger equation with complex quantum potentials. Physics‐based variational solutions generate high‐quality training data, enabling Random Forest and Neural Network models to deliver near‐perfect energy predictions.
Khalid Reggab +5 more
wiley +1 more source
Nonlinear Elliptic Eigenvalue Problems with Discontinuities
Journal of Mathematical Analysis and Applications, 1999 Existence of nontrivial solutions to two nonlinear eigenvalue problems with discontinuous nonlinearities is proved in this paper. The first one is given by \(-\Delta_p\in \lambda[f_0(x,u), f_1(x,u)]\) in \(D\), \(u=0\) on \(\partial D\), where \(D\) is a smooth bounded domain in \(\mathbb{R}^N\), \(p\geq 2\), \(\lambda\) is a real parameter and \(f_0(x,
Hu, Shouchuan +2 more
openaire +1 more source
Interval Nonlinear Eigenvalue Problems [PDF]
, 2013 Nonlinear eigenvalue Problems are currently receiving much attention because of its extensive applications in areas such as the dynamic analysis of mechanical systems, acoustics and fluid mechanics etc.
Sadangi, Satyabrata
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Asian Journal of Control, EarlyView.Abstract This paper tackles the problem of robust and accurate fixed‐time tracking in human–robot interaction and deals with uncertainties. This work introduces a control approach for a wearable exoskeleton designed specifically for rehabilitation tasks.
Mahmoud Abdallah +4 more
wiley +1 more source
Modeling and parameter estimation for fractional large‐scale interconnected Hammerstein systems
Asian Journal of Control, EarlyView.Abstract This paper addresses the challenge of modeling and identifying large‐scale interconnected systems exhibiting memory effects, hereditary properties, and non‐local interactions. We propose a fractional‐order extension of the Hammerstein architecture that incorporates Grünwald–Letnikov operators to capture complex dynamics through multiple ...
Mourad Elloumi +2 more
wiley +1 more source
Asian Journal of Control, EarlyView.Abstract The linear‐quadratic regulator (LQR) problem of optimal control of an uncertain discrete‐time linear system (DTLS) is revisited in this paper from the perspective of Tikhonov regularization. We show that an optimally chosen regularization parameter reduces, compared to the classical LQR, the values of a scalar error function, as well as the ...
Fernando Pazos, Amit Bhaya
wiley +1 more source
Quasilinear elliptic systems of resonant type and nonlinear eigenvalue problems
Abstract and Applied Analysis, 2002 This work is devoted to the study of a quasilinear elliptic system of resonant type. We prove the existence of infinitely many solutions of a related nonlinear eigenvalue problem.
Pablo L. de Nàpoli, M. Cristina Mariani
doaj +1 more source
Convergence of Adaptive Finite Element Approximations for Nonlinear Eigenvalue Problems [PDF]
, 2010 In this paper, we study an adaptive finite element method for a class of a nonlinear eigenvalue problems that may be of nonconvex energy functional and consider its applications to quantum chemistry.
Chen, H., Gong, X., He, L., Zhou, A.
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