Results 61 to 70 of about 313,499 (335)
On a Class of Reaction-Diffusion Equations with Aggregation
Advanced Nonlinear Studies, 2021 In this paper, global-in-time existence and blow-up results are shown for a reaction-diffusion equation appearing in the theory of aggregation phenomena (including chemotaxis).
Chen Li +2 more
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Bistable reaction equations with doubly nonlinear diffusion
, 2019 Reaction-diffusion equations appear in biology and chemistry, and combine linear diffusion with different kind of reaction terms. Some of them are remarkable from the mathematical point of view, since they admit families of travelling waves that describe
Audrito, Alessandro
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Arthritis Care &Research, EarlyView.Objective The objective of this study was to describe the longitudinal disease course and pulmonary outcomes of North American patients with melanoma differentiation–associated protein 5 (MDA5) antibody–associated dermatomyositis (DM). Methods Thirty patients with MDA5 antibody–associated DM were identified in a single‐center longitudinal cohort of 352
Jenice X. Cheah +8 more
wiley +1 more source
Validation and Calibration of Models for Reaction-Diffusion Systems
, 1997 Space and time scales are not independent in diffusion. In fact, numerical simulations show that different patterns are obtained when space and time steps ($\Delta x$ and $\Delta t$) are varied independently.
Andrew B. Feldman +11 more
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Advanced Engineering Materials, Volume 27, Issue 6, March 2025.The stability criteria affecting the formation of high‐entropy alloys, particularly focusing in supersaturated solid solutions produced by mechanical alloying, are analyzed. Criteria based on Hume–Rothery rules are distinguished from those derived from thermodynamic relations. The formers are generally applicable to mechanically alloyed samples.
Javier S. Blázquez +5 more
wiley +1 more source
Advanced Engineering Materials, EarlyView.Powder metal processing provides scalable advantages in nanoporous (np) metal development. Mechanical alloying is used to produce unique precursors for hybrid nanopore formation by oxide reduction and dealloying. As demonstrated in np Ag, this approach improves process efficiency while promoting smaller ligaments and larger pores, both of which are ...
Mark A. Atwater, Oliver A. Fowler
wiley +1 more source
Nonlocal degenerate reaction-diffusion equations with general nonlinear diffusion term
Electronic Journal of Differential Equations, 2014 We study a class of second-order nonlocal degenerate semilinear reaction-diffusion equations with general nonlinear diffusion term. Under a set of conditions on the general nonlinear diffusivity and nonlinear nonlocal source term, we prove global ...
Sikiru Adigun Sanni
doaj
Invariant measures for monotone SPDE's with multiplicative noise term
, 2012 We study diffusion processes corresponding to infinite dimensional semilinear stochastic differential equations with local Lipschitz drift term and an arbitrary Lipschitz diffusion coefficient.
Es-Sarhir, A. +3 more
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Advanced Engineering Materials, EarlyView.The corrosion performance of AlSi7Mg and AlSi10Mg alloys produced through selective laser melting (SLM) was examined under compressive stress in a chloride environment. Electrochemical analyses, including open‐circuit potential (OCP), potentiodynamic polarization (CPP), and electrochemical impedance spectroscopy (EIS), were complemented by scanning ...
Femi John Akinfolarin +2 more
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Journal of Applied Mathematics, 2015 A reaction-diffusion system coupled by two equations subject to homogeneous Neumann boundary condition on one-dimensional spatial domain (0,lπ) with l>0 is considered.
Cun-Hua Zhang, Xiang-Ping Yan
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