Results 71 to 80 of about 1,212,620 (281)
The first initial boundary-value problem for telegraph equation in bounded domain
Vìsnik Dnìpropetrovsʹkogo Unìversitetu: Serìâ Modelûvannâ, 2009 The first initial boundary-value problem for telegraph equation in bounded domain is considered. The exact solution this problem is obtained. The construction of solution is based on combination prolongation and reflection methods with integral ...
V. A. Ostapenko
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Packaging of Macroscopic Material Payloads: Needs, Challenges, Concepts, and Future Directions
Advanced Engineering Materials, EarlyView.This review introduces a unified framework that decomposes any macroscopic packaging system into the payload, packaging material, and packaging strategy and combines them into a conceptual packaging equation: packaging strategy = payload + packaging material.
Venkata S. R. Jampani, Manos Anyfantakis
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
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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
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On an initial-boundary value problem for a parabolic pseudodifferential equation
Математичні СтудіїThe article is aimed at investigation of a third initial-boundary value problem for a parabolic pseudo-differential equation that is related to an isotropic $\alpha$-stable stochastic process in multidimensional Euclidean space $\mathbb{R}^d$.
S. V. Didyk, M. M. Osypchuk
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On transparent boundary conditions for the high--order heat equation
, 2013 In this paper we develop an artificial initial boundary value problem for the high-order heat equation in a bounded domain $\Omega$. It is found an unique classical solution of this problem in an explicit form and shown that the solution of the ...
Suragan, Durvudkhan +1 more
core
Advanced Engineering Materials, EarlyView.A combined finite element and phase‐field approach predicts the evolution of microstructure during the directional solidification of Ni‐based superalloys. The model reveals how withdrawal rate, temperature gradient, and wall thickness control the dendrite spacing, highlighting the strong effect of surface regions in thin sections where dendrite growth ...
Sean Böhm +3 more
wiley +1 more source
Nonlocal initial boundary value problem for the time-fractional diffusion equation
Electronic Journal of Differential Equations, 2017 In this article we discuss a method for constructing trace formulae for the heat-volume potential of the time-fractional diffusion equation to lateral surfaces of cylindrical domains and use these conditions to construct as well as to study a nonlocal
Makhmud Sadybekov, Gulaiym Oralsyn
doaj
Degenerate parabolic initial-boundary value problems
Journal of Differential Equations, 1979 in Hilbert space and their realizations in function spaces as initial-boundary value problems for partial differential equations which may contain degenerate or singular coefficients. The Cauchy problem consists of solving (1.1) subject to the initial condition Jdu(0) = h.
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Removing Oxide Layers and Retaining Oxide‐Free Steel Surfaces by Polishing in Oxygen‐Free Atmosphere
Advanced Engineering Materials, EarlyView.In this study, the efficacy of wet mechanical polishing under an oxygen‐free atmosphere for deoxidation and the retention of an oxide‐free steel surface are elucidated using X‐ray photoelectron spectroscopy. The methodology proved successful; however, the results were highly dependent on the preparation of the solvents used to clean the samples after ...
Friedrich Bürger +2 more
wiley +1 more source