Local existence of solutions and comparison principle for initial boundary value problem with nonlocal boundary condition for a nonlinear parabolic equation with memory [PDF]
, 2023 Alexander Gladkov
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Challenges during Flash Lamp Annealing of Aerosol‐Deposited Barium Titanate Films
Advanced Engineering Materials, EarlyView.Aerosol deposition is used to rapidly deposit barium titanate films with thicknesses ranging from 2 to 16 μm at room temperature, eliminating the need for further densification. However, to recover the electromechanical properties, annealing is required, which limits the usage of temperature‐sensitive substrates.
Michel Kuhfuß +7 more
wiley +1 more source
Initial value problem for fractional differential equations of variable order
Mathematical Modelling and ControlThis study presented a novel approach to investigating the existence, uniqueness, and stability of solutions for an initial value problem involving fractional differential equations of variable order. In contrast to conventional methods in the literature,
Souad Guedim +5 more
doaj +1 more source
Computability of Initial Value Problems
We demonstrate that techniques of Weihrauch complexity can be used to get easy and elegant proofs of known and new results on initial value problems. Our main result is that solving continuous initial value problems is Weihrauch equivalent to weak Kőnig's lemma, even if only solutions with maximal domains of existence are considered.
Vasco Brattka, Hendrik Smischliaew
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RETRACTED: An Uniform and Optimal Numerical method to solve Singular Perturbed second order initial value problem [PDF]
, 2023 Kumaravel Selvakumar +2 more
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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
Robot‐Assisted Automated Serial‐Sectioning and Imaging for 3D Microstructural Investigations
Advanced Engineering Materials, EarlyView.A fully automated 3D microstructure characterization platform provides new insights into materials. This robot‐assisted system performs serial‐sectioning, etching, and optical imaging to generate large‐volume 3D reconstructions with submicron resolution.
Michael Moschetti +7 more
wiley +1 more source
Well-posedness of the Initial Value Problem for the Ostrovsky–Hunter Equation with Spatially Dependent Flux [PDF]
, 2019 Giuseppe Maria Coclite +2 more
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