Results 61 to 70 of about 105,003 (261)

Inner‐Layer Asymptotics in Partially Perforated Domains: Coupling Across Flat and Oscillating Interfaces

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT The article examines a boundary‐value problem in a bounded domain Ωε$$ {\Omega}_{\varepsilon } $$ consisting of perforated and imperforate regions, with Neumann conditions prescribed at the boundaries of the perforations. Assuming the porous medium has symmetric, periodic structure with a small period ε$$ \varepsilon $$, we analyze the limit ...
Taras Melnyk
wiley   +1 more source

Trace principle for Riesz potentials on Herz-type spaces and applications

Journal of Inequalities and Applications
We establish trace inequalities for Riesz potentials on Herz-type spaces and examine the optimality of conditions imposed on specific parameters.
M. Ashraf Bhat, G. Sankara Raju Kosuru
doaj   +1 more source

Fractional Maximal Functions in Metric Measure Spaces

Analysis and Geometry in Metric Spaces, 2013
We study the mapping properties of fractional maximal operators in Sobolev and Campanato spaces in metric measure spaces. We show that, under certain restrictions on the underlying metric measure space, fractional maximal operators improve the Sobolev ...
Heikkinen Toni, Lehrbäck Juha, Nuutinen Juho, Tuominen Heli   +3 more
doaj   +1 more source

Polynomial differentiation decreases the training time complexity of physics-informed neural networks and strengthens their approximation power

Machine Learning: Science and Technology, 2023
We present novel approximates of variational losses, being applicable for the training of physics-informed neural networks (PINNs). The formulations reflect classic Sobolev space theory for partial differential equations (PDEs) and their weak ...
Juan-Esteban Suarez Cardona, Michael Hecht   +1 more
doaj   +1 more source

Hybrid Reaction–Diffusion Epidemic Models: Dynamics and Emergence of Oscillations

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT In this paper, we construct a hybrid epidemic mathematical model based on a reaction–diffusion system of the SIR (susceptible‐infected‐recovered) type. This model integrates the impact of random factors on the transmission rate of infectious diseases, represented by a probabilistic process acting at discrete time steps.
Asmae Tajani, Cristiana J. Silva, Guillaume Cantin   +2 more
wiley   +1 more source

Space‐Time FEM Solution of Dynamic Contact Problem With Discontinuous Velocity for Multiple Impact of Deformed Bar Using PDAS Method

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT A class of one‐dimensional impact and dynamic contact problems taking into account non‐smooth velocities is studied. The new space‐time finite element approximation of dynamic variational inequalities is suggested. The non‐smooth solution for the impact of an obstacle by an elastic bar and its energy conservation under persistency conditions ...
Victor A. Kovtunenko, Adrien Petrov, Yves Renard   +2 more
wiley   +1 more source

A regional implementation of a mixed finite‐element, semi‐implicit dynamical core

Quarterly Journal of the Royal Meteorological Society, EarlyView.
A regional version of a new dynamical core with an iterated semi‐implicit time discretisation and mixed finite‐element spatial discretisation is described. This involves modifying the mixed‐system and Helmholtz‐preconditioner equations to use lateral boundary condition (LBC) data specified by a driving model.
Christine Johnson, Ben Shipway, Thomas Melvin, Thomas Bendall, James Kent, Ian Boutle, Alex Brown, Mohamed Zerroukat, Benjamin Buchenau, Nigel Wood   +9 more
wiley   +1 more source

The Single‐Particle, Clusters and Biomolecules and Serial Femtosecond Crystallography instrument of the European X‐ray Free‐Electron Laser: Interaction Region Downstream at atmospheric pressure (IRD)

Journal of Synchrotron Radiation, EarlyView.
An introduction is provided to the extended (atmospheric pressure) capabilities of the Single‐Particle, Clusters and Biomolecules and Serial Femtosecond Crystallography (SPB/SFX) scientific instrument at the European X‐ray Free‐Electron Laser facility.The Single‐Particle, Clusters and Biomolecules and Serial Femtosecond Crystallography (SPB/SFX ...
Adam Round, Piere Aller, Richard J. Bean, Johan Bielecki, Agata Butryn, Nicholas Devenish, Raphael de Wijn, Thomas Dietze, Katerina Doerner, Fabio Dall'Antonia, Pontus Fischer, Gabriele Giovanetti, Sebastian Guenther, Huijong Han, Vincent Hennicke, Chan Kim, Yoonhee Kim, Marco Kloos, Jayanath C. P. Koliyadu, Gabriel Leen, Romain Letrun, Luis Lopez Morillo, Allen M. Orville, Tim Pakendorf, Marco Ramilli, Nadja Reimers, Patrick Reinke, Juan Sanchez-Weatherby, Tokushi Sato, Robin Schubert, Joachim Schulz, Cedric Signe Takem, Marcin Sikorski, Prasad Thute, Fabian Trost, Oleksii Turkot, Patrik Vagovič, Mohammad Vakili, Raul Villanueva Guerrero, Henry N. Chapman, Alke Meents, Serguei Molodtsov, Sakura Pascarelli, Thomas Tschentscher, Adrian P. Mancuso   +44 more
wiley   +1 more source

Diffeomorphism Invariant Minimization of Functionals with Nonuniform Coercivity

Mathematics
We consider the minimization of a functional of the calculus of variations, under assumptions that are diffeomorphism invariant. In particular, a nonuniform coercivity condition needs to be considered.
Marco Degiovanni, Marco Marzocchi
doaj   +1 more source

Decentralized propaganda in the era of digital media: The massive presence of the Chinese state on Douyin

American Journal of Political Science, EarlyView.
Abstract The rise of social media in the digital era poses unprecedented challenges to authoritarian regimes that aim to influence public attitudes and behaviors. To address these challenges, we argue that authoritarian regimes have adopted a decentralized approach to produce and disseminate propaganda on social media.
Yingdan Lu, Jennifer Pan, Xu Xu, Yiqing Xu   +3 more
wiley   +1 more source