Results 41 to 50 of about 311,754 (293)

Quantum algorithms for linear and non-linear fractional reaction-diffusion equations [PDF]

Quantum
High-dimensional fractional reaction-diffusion equations have numerous applications in the fields of biology, chemistry, and physics, and exhibit a range of rich phenomena.
Dong An, Konstantina Trivisa
doaj   +1 more source

Mesoscopic description of reactions under anomalous diffusion: A case study

, 2006
Reaction-diffusion equations deliver a versatile tool for the description of reactions in inhomogeneous systems under the assumption that the characteristic reaction scales and the scales of the inhomogeneities in the reactant concentrations separate. In
F Sagués, Gorenflo R, Henry B I Langlands T A M Wearne S L, I M Sokolov, M G W Schmidt, Mancinelli1 R, Metzler R, Metzler R, Samko S G   +8 more
core   +1 more source

Simulation of reaction-diffusion processes in three dimensions using CUDA [PDF]

, 2010
Numerical solution of reaction-diffusion equations in three dimensions is one of the most challenging applied mathematical problems. Since these simulations are very time consuming, any ideas and strategies aiming at the reduction of CPU time are ...
Alexandrov, Anderson, Belleman, Block, Buluc, Castano-Diez, Castets, Che, Costello, Cross, Dabdub, Epstein, Ferenc Izsák, Ferenc Molnár, Ford, Fowler, Garland, Gutiérrez, Horváth, Horváth, Horváth, Huang, István Lagzi, Januszewski, Komatitsch, Komatitsch, Lagzi, Lagzi, Lagzi, Lagzi, Lengyel, Li, Liu, Liu, Lovas, Martin, Melchionna, Micikevicius, Molnár, Nakamasu, NVIDIA Corporation, Owens, Preis, Pápai, Rácz, Róbert Mészáros, Sainio, Sanderson, Sanna, Sanna, Schmidt, Senocak, Shoji, Shoji, Simek, Stone, Stone, Sultan, Volford, Volford, Walsh   +60 more
core   +3 more sources

Marked Long‐term Improvement in Lung Function in Melanoma Differentiation‐associated Protein 5 (MDA5) Antibody Positive Dermatomyositis Patients: Experience of a Single Center Longitudinal Cohort in North America

Arthritis Care &Research, Accepted Article.
Objective The objective of this study was to describe the longitudinal disease course and pulmonary outcomes of North American patients with melanoma differentiation‐associated gene 5 antibody (MDA5 ab) associated dermatomyositis (DM). Methods Thirty patients with MDA5 ab DM were identified in a single center longitudinal cohort of 352 patients with ...
Jenice X Cheah, Sangmee S Bae, Tiffany De Leon, Yuna Lee, Rong Guo, David Elashoff, Jennifer Wang, Ani Shahbazian, Christina Charles‐Schoeman   +8 more
wiley   +1 more source

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, Desvillettes Laurent, Latos Evangelos   +2 more
doaj   +1 more source

Revisiting Stability Criteria in Ball‐Milled High‐Entropy Alloys: Do Hume–Rothery and Thermodynamic Rules Equally Apply?

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, Alejandro F. Manchón‐Gordón, Antonio Vidal‐Crespo, Rafael Caballero‐Flores, Jhon J. Ipus, Clara F. Conde   +5 more
wiley   +1 more source

Reaction diffusion equations with boundary degeneracy

Electronic Journal of Differential Equations, 2016
In this article, we consider the reaction diffusion equation $$ \frac{\partial u}{\partial t} = \Delta A(u),\quad (x,t)\in \Omega \times (0,T), $$ with the homogeneous boundary condition.
Huashui Zhan
doaj  

Global solutions of a strongly coupled reaction-diffusion system with different diffusion coefficients

Journal of Applied Mathematics, 2005
We deal with a mathematical model for a four-component chemical reaction-diffusion process. The model is described by a system of strongly coupled reaction-diffusion equations with different diffusion rates.
L. W. Somathilake, J. M. J. J. Peiris
doaj   +1 more source

Unlocking the Power of Quercetin‐Encapsulated Mesoporous Bioactive Glass Nanoparticles: A Multifunctional Approach to Bone Regeneration

Advanced Engineering Materials, EarlyView.
Mesoporous bioactive glass nanoparticles (MBGNs) are investigated for bone regeneration given their remarkable structural and functional properties. MBGNs are functionalized with Mn and Cu and incorporated with quercetin, a natural flavonoid exhibiting antioxidant, anti‐inflammatory, and antimicrobial properties.
Giovanni Lo Bello, Qaisar Nawaz, Pier Francesco Ferrari, Laura Pastorino, Roberto Raiteri, Aldo R. Boccaccini   +5 more
wiley   +1 more source

Interactions between Molten High‐Silicon Electrical Steels and Carbon‐Bonded MgO Refractories Based on Recyclates

Advanced Engineering Materials, EarlyView.
This study examines how several molten high‐silicon electrical steels interact with both conventional and recycled MgO–C refractories. For this, various immersion experiments are conducted. In addition to infiltration, a number of mechanisms are identified and explained that control the corrosion of the refractory material.
Lukas Neubert, Matheus Roberto Bellé, Anton Yehorov, Anhelina Mospan, Till M. J. Stadtmüller, Seetharaman Sridhar, Christos G. Aneziris, Olena Volkova   +7 more
wiley   +1 more source