Results 41 to 50 of about 138,114 (286)

Blow-up criteria for compressible viscoelastic flows with general pressure laws

Advances in Nonlinear Analysis
We investigate the blow-up criteria of strong solutions to the Dirichlet and Cauchy problems for the compressible viscoelastic equations with vacuum in two and three dimensions, where a general class of pressure laws without monotonicity constraints is ...
Wang Yong, Yang Jianquan
doaj   +1 more source

Overcoming the Nyquist Limit in Molecular Hyperspectral Imaging by Reinforcement Learning

Advanced Intelligent Discovery, EarlyView.
Explorative spectral acquisition guide automatically selects informative spectral bands to optimize downstream tasks, outperforming full‐spectrum acquisition. The selected hyperspectral data are used for tasks such as unmixing and segmentation. BandOptiNet encodes selection states and outputs optimal bands to guide spectral acquisition. Recent advances
Xiaobin Tang, Yongqing Zhang, Xinyu Deng, Hyeon Jeong Lee, Delong Zhang   +4 more
wiley   +1 more source

Existence results for Dirichlet problems with degenerated p-Laplacian [PDF]

Opuscula Mathematica, 2013
In this article, we prove the existence of entropy solutions for the Dirichlet problem \[(P)\left\{ \begin{array}{ll} & -{\rm div}[{\omega}(x){\vert{\nabla}u\vert}^{p-2}{\nabla}u]= f(x) - {\rm div}(G(x)),\ \ {\rm in} \ \ {\Omega} \\ & u(x)=0, \ \ {\rm in}
Albo Carlos Cavalheiro
doaj   +1 more source

“It Is Much Safer to Be Sparse than Connected”: Safe Control of Robotic Swarm Density Dynamics with PDE Optimization with State Constraints

Advanced Intelligent Systems, EarlyView.
This paper proposes a novel control framework to ensure safety of a robotic swarm. A feedback optimization controller is capable of driving the swarm toward a target density while keeping risk‐zone exposure below a safety threshold. Theory and experiments show how safety is more effectively achieved for sparsely connected swarms.
Longchen Niu, Gennaro Notomista
wiley   +1 more source

Synonym‐based multi‐keyword ranked search with secure k‐NN in 6G network

IET Networks, EarlyView., 2022
Abstract Sixth Generation (6G) integrates the next generation communication systems such as maritime, terrestrial, and aerial to offer robust network and massive device connectivity with ultra‐low latency requirement. The cutting edge technologies such as artificial intelligence, quantum machine learning, and millimetre enable hyper‐connectivity to ...
Deebak Bakkiam David, Fadi Al‐Turjman
wiley   +1 more source

Boundary Value Problems for the Three-Dimensional Helmholtz Equation in the Unbounded Octant, Square and Half Space

Vestnik KRAUNC: Fiziko-Matematičeskie Nauki
At present, the results of the study of boundary value problems for the two-dimensional Helmholtz equation with one and two singular coefficients are known.
Arzikulov, Z.O.
doaj   +1 more source

Continuity results for parametric nonlinear singular Dirichlet problems

Advances in Nonlinear Analysis, 2019
In this paper we study from a qualitative point of view the nonlinear singular Dirichlet problem depending on a parameter λ > 0 that was considered in [32].
Bai Yunru, Motreanu Dumitru, Zeng Shengda   +2 more
doaj   +1 more source

The Dirichlet space: A Survey [PDF]

, 2010
In this paper we survey many results on the Dirichlet space of analytic functions. Our focus is more on the classical Dirichlet space on the disc and not the potential generalizations to other domains or several variables.
Brett, D. Wick, Eric T. Sawyer, Nicola Arcozzi, Richard Rochberg   +4 more
core   +2 more sources

Disentangling Aleatoric and Epistemic Uncertainty in Physics‐Informed Neural Networks: Application to Insulation Material Degradation Prognostics

Advanced Intelligent Systems, EarlyView.
Physics‐Informed Neural Networks (PINNs) provide a framework for integrating physical laws with data. However, their application to Prognostics and Health Management (PHM) remains constrained by the limited uncertainty quantification (UQ) capabilities.
Ibai Ramirez, Jokin Alcibar, Joel Pino, Mikel Sanz, Jose I. Aizpurua   +4 more
wiley   +1 more source

Constructive Aspects of the Dirichlet Problem

J. Univers. Comput. Sci., 1997
JUCS - Journal of Universal Computer Science Volume Nr.
Bridges,Douglas, Yuchuan,Wang
openaire   +3 more sources