Results 91 to 100 of about 122,957 (282)

Wave Solutions

open access: yes, 2012
In classical continuum physics, a wave is a mechanical disturbance. Whether the disturbance is stationary or traveling and whether it is caused by the motion of atoms and molecules or the vibration of a lattice structure, a wave can be understood as a ...
Christov, Ivan C.
core   +1 more source

Data‐Driven Modeling of Composition–Processing–Microstructure Relations for Recycled Aluminum Cast Alloys

open access: yesAdvanced Science, EarlyView.
Interpretable machine learning reveals how composition and processing govern the formation and microstructural burden of Fe‐rich intermetallic compounds in recycled Al–Si–Fe–Mn alloys. By separating morphology selection from morphology‐conditioned burden partitioning, this framework shows that identical Fe contents can yield different intermetallic ...
Jaemin Wang   +2 more
wiley   +1 more source

Conservation Laws, Soliton Dynamics, and Stability in a Nonlinear Schrödinger Equation with Second-Order Spatiotemporal Dispersion

open access: yesMathematics
This paper presents the construction of exact wave solutions for the generalized nonlinear Schrödinger equation (NLSE) with second-order spatiotemporal dispersion using the modified exponential rational function method (mERFM).
Naila Nasreen   +4 more
doaj   +1 more source

Nonlinear monotonization of the Babenko scheme

open access: yesMathematical Modelling and Analysis, 2003
The goal of the paper is to present and test the nonlinear monotonization of the Babenko scheme for solving 2D linear advection equation with alternating‐sign velocities.
M. P. Galanin, T. G. Yelenina
doaj   +1 more source

Coupling techniques for nonlinear hyperbolic equations. I. Self-similar diffusion for thin interfaces

open access: yes, 2011
We investigate various analytical and numerical techniques for the coupling of nonlinear hyperbolic systems and, in particular, we introduce here an augmented formulation which allows for the modeling of the dynamics of interfaces between fluid flows ...
Boutin, Benjamin   +2 more
core   +3 more sources

The Cauchy problem in abstract Gevrey spaces for a nonlinear weakly hyperbolic equation of second order

open access: yesHokkaido Mathematical Journal, 1994
The authors investigate the existence of local solutions to the abstract Cauchy problem: \[ (1)\quad u''+ A(t)u= f(t, u(t)), \qquad\quad (2)\quad u(0)= u_ 0, \quad u'(0)= u_ 1, \] in Hilbert space \(H\), where \(A(t)\) is a nonnegative unbounded operator.
D'ANCONA, Piero, MANFRIN, Renato
openaire   +3 more sources

Physics‐Constrained Constitutive Learning of Rate‐Limiting Timescales for Efficient Hydrogen‐Based Direct Reduction for Green Steel Making

open access: yesAdvanced Science, EarlyView.
A conversion‐resolved constitutive framework is developed for the hydrogen‐based direct reduction of iron oxide pellets. Effective reaction and transport timescales are inferred directly from measured trajectories and mapped against operating conditions, pellet architecture, and composition. The analysis reveals how late‐stage transport control emerges
Anurag Bajpai   +3 more
wiley   +1 more source

KINETIC-INDUCED MOMENT SYSTEMS FOR THE SAINT-VENANT EQUATIONS

open access: yesTASK Quarterly, 2013
Based on the relation between kinetic Boltzmann-like transport equations and nonlinear hyperbolic conservation laws, we derive kinetic-induced moment systems for the spatially one-dimensional shallow water equations (the Saint-Venant equations).
DIANA CRISTINA GIL MONTOYA   +1 more
doaj  

Fundamental Challenges, Physical Implementations, and Integration Strategies for Ising Machines in Large‐Scale Optimization Tasks

open access: yesAdvanced Electronic Materials, EarlyView.
Ising machines are emerging as specialized hardware solvers for computationally hard optimization problems. This review examines five major platforms—digital CMOS, analog CMOS, emerging devices, coherent optics, and quantum systems—highlighting physics‐rooted advantages and shared bottlenecks in scalability and connectivity.
Hyunjun Lee, Joon Pyo Kim, Sanghyeon Kim
wiley   +1 more source

Inversion of the Impedance Response Towards Physical Parameter Extraction Using Interpretable Machine Learning

open access: yesAdvanced Energy Materials, EarlyView.
ABSTRACT Interpreting the impedance response of perovskite solar cells (PSCs) is challenging due to the complex coupling of ionic and electronic motion. While drift‐diffusion (DD) modelling is a reliable method, its mathematical complexity makes directly extracting physical parameters from experimental data infeasible.
Mahmoud Nabil   +4 more
wiley   +1 more source

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