Results 51 to 60 of about 2,222 (257)
Wasit Journal of Computer and Mathematics ScienceThe stability analysis of solutions to nonlinear PDEs involves a fundamental and serious problem in applied mathematics and physics. The paper aims for the first time ever to provide a stability analysis for a class of nonlinear initial-boundary value ...
Noora Jaafar
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Dynamics of Solutions to the Gross–Pitaevskii Equation Describing Dipolar Bose–Einstein Condensates [PDF]
, 2022 We review some recent results on the long-time dynamics of solutions to the Gross–Pitaevskii equation (GPE) governing non-trapped dipolar quantum gases. We describe the asymptotic behaviors of solutions for different initial configurations of the initial
Forcella, Luigi +3 more
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Advanced Intelligent Discovery, EarlyView.This perspective highlights how knowledge‐guided artificial intelligence can address key challenges in manufacturing inverse design, including high‐dimensional search spaces, limited data, and process constraints. It focused on three complementary pillars—expert‐guided problem definition, physics‐informed machine learning, and large language model ...
Hugon Lee +3 more
wiley +1 more source
Toward Intelligent Multimodal Holography for Real‐Time Chemical Imaging of Dynamic Ion Separation
Advanced Intelligent Discovery, EarlyView.Intelligent multimodal holography integrates digital off‐axis holography, spectroscopic imaging, and AI‐driven reconstruction to visualize ion transport and chemical dynamics in real time. In this perspective paper, we outline how this approach enables label‐free, chemically specific monitoring of complex environments and discuss its potential to ...
Giovanna Ricchiuti +3 more
wiley +1 more source
New Discretization Methods for the Numerical Approximation of PDEs [PDF]
, 2015 The construction and mathematical analysis of numerical methods for PDEs is a fundamental area of modern applied mathematics. Among the various techniques that have been proposed in the past, some – in particular, finite element methods, – have been ...
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A short proof of increased parabolic regularity
Electronic Journal of Differential Equations, 2015 We present a short proof of the increased regularity obtained by solutions to uniformly parabolic partial differential equations. Though this setting is fairly introductory, our new method of proof, which uses a priori estimates and an inductive ...
Stephen Pankavich, Nicholas Michalowski
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Journal of Taibah University for ScienceDusty plasma, composed of charged dust grains, electrons and ions, plays a fundamental role in both space and laboratory environments. Understanding nonlinear wave propagation in such plasma is essential for studying complex plasma behaviour.
R. E. Tolba, N. S. Alharthi
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Riemann Problems and Jupyter Solutions [PDF]
, 2020 This book addresses an important class of mathematical problems—the Riemann problem—for first-order hyperbolic partial differential equations (PDEs), which arise when modeling wave propagation in applications such as fluid dynamics, traffic flow ...
Ketcheson, David I. +2 more
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Advanced Intelligent Discovery, EarlyView.AI‐BioMech is a deep learning framework that predicts the mechanical behavior of biological cellular materials directly from 2D images. By replacing traditional finite element analysis with semantic segmentation, it identifies stress and strain distributions with 99% accuracy, offering a high‐speed, scalable alternative for analyzing complex, aperiodic
Haleema Sadia +2 more
wiley +1 more source
Magneto-Williamson nanofluid flow past a wedge with activation energy: Buongiorno model
Advances in Mechanical EngineeringThe current investigation explores the effect of activation energy on the MHD radiative Williamson nanofluid flow across a wedge using heat generation and binary chemical reactivity.
M Vinodkumar Reddy +5 more
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