Results 91 to 100 of about 4,542,361 (276)
Singular Initial Value Problem for a System of Integro-Differential Equations
Abstract and Applied Analysis, 2012 Analytical properties like existence, uniqueness, and asymptotic behavior of solutions are studied for the following singular initial value problem: gi(t)yi′(t)=aiyi(t)(1+fi(t,y(t),∫0+tKi(t,s,y(t),y(s))ds)), yi(0+)=0, t∈(0, t0], where
Zdeněk Šmarda, Yasir Khan
doaj +1 more source
What Do Large Language Models Know About Materials?
Advanced Engineering Materials, EarlyView.If large language models (LLMs) are to be used inside the material discovery and engineering process, they must be benchmarked for the accurateness of intrinsic material knowledge. The current work introduces 1) a reasoning process through the processing–structure–property–performance chain and 2) a tool for benchmarking knowledge of LLMs concerning ...
Adrian Ehrenhofer +2 more
wiley +1 more source
The Initial Value Problem for the Quadratic Nonlinear Klein-Gordon Equation
Advances in Mathematical Physics, 2010 We study the initial value problem for the quadratic nonlinear Klein-Gordon equation ℒ𝑢=⟨𝑖𝜕𝑥⟩−1𝑢2, (𝑡,𝑥)∈𝐑×𝐑, 𝑢(0,𝑥)=𝑢0(𝑥), 𝑥∈𝐑, where ℒ=𝜕𝑡+𝑖⟨𝑖𝜕𝑥⟩ and ⟨𝑖𝜕𝑥⟩=1−𝜕2𝑥.
Nakao Hayashi, Pavel I. Naumkin
doaj +1 more source
Advanced Engineering Materials, EarlyView.This study explores the lightweight potential of laser additive‐manufactured NiTi triply periodic minimal surface sheet lattices. It systematically investigates the effects of relative density and unit cell size on surface quality, deformation recovery, compression behavior, and energy absorption.
Haoming Mo +3 more
wiley +1 more source
Spherical Harmonics Expansion of the Vlasov-Poisson initial bounary value problem
, 2005 We derive and analyze the ‘SHE' (Spherical Harmonics Expansion) type system of equations coupled in energy. We also show that diffusive behavior occurs on long time and distance scales and we determine the diffusion tensor. The analysis is based on
Dogbe, Christian
core +1 more source
Integrable initial-boundary-value problems
Theoretical and Mathematical Physics, 1991 Latex file, The talk on the International Conference: Nonlinear Physics: Theory and Experiment, II Gallipoli, Lecce, (Italy) June 27-July 6 ...
openaire +3 more sources
A Workflow to Accelerate Microstructure‐Sensitive Fatigue Life Predictions
Advanced Engineering Materials, EarlyView.This study introduces a workflow to accelerate predictions of microstructure‐sensitive fatigue life. Results from frameworks with varying levels of simplification are benchmarked against published reference results. The analysis reveals a trade‐off between accuracy and model complexity, offering researchers a practical guide for selecting the optimal ...
Luca Loiodice +2 more
wiley +1 more source
Advanced Engineering Materials, EarlyView.A numerical model resulting from irreversible thermodynamics for describing transport processes is introduced, focusing on thermodynamic activity gradients as the actual driving force for diffusion. Implemented in CUDA C++ and using CalPhaD methods for determining the necessary activity data, the model accurately simulates interdiffusion in aluminum ...
Ulrich Holländer +3 more
wiley +1 more source
Baltic sea deep salinity: an initial and boundary value problem
Frontiers in Earth ScienceThe Baltic Sea salinity is modelled using a two-box model. The simplistic approach allows for very long integrations where a large part of the phase space of the model can be probed. Particular emphasis is put on the salinity dynamics in the deeper parts
Magnus Hieronymus
doaj +1 more source
Advanced Engineering Materials, EarlyView.It is shown that laser ablation pretreatment under oxygen‐free conditions enables copper–aluminium bonding at significantly lower deformation degrees and improved properties compared to mechanical brushing. Laser ablation further increases interface contact area and induces favourable residual stress states and microstructural compatibility ...
Khemais Barienti +11 more
wiley +1 more source