Results 31 to 40 of about 3,306 (214)
, 2019 We consider a nonlinear Fokker-Planck equation driven by a deterministic rough path which describes the conditional probability of a McKean-Vlasov diffusion with "common" noise. To study the equation we build a self-contained framework of non-linear rough integration theory which we use to study McKean-Vlasov equations perturbed by rough paths.
Coghi, Michele, Nilssen, Torstein
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Well-Posedness of a Cross-Diffusion Population Model with Nonlocal Diffusion [PDF]
SIAM Journal on Mathematical Analysis, 2019 Keywords: nonlocal diffusion, cross-diffusion, evolution problem, existence of solutions, uniqueness of solution, Shigesada-Kawasaki-Teramoto population ...
Gonzalo Galiano, Julián Velasco Valdés
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On the Regularity Issues of a Class of Drift-Diffusion Equations with Nonlocal Diffusion [PDF]
SIAM Journal on Mathematical Analysis, 2019 38 ...
Changxing Miao, Liutang Xue
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Wave reflection in semiconductor nanostructures
Theoretical and Applied Mechanics Letters, 2018 : Based on nonlocal thermoelastic theory, this article studies the reflection of waves in nanometer semi-conductor media. Firstly, the governing equations are established based on coupled nonlocal elasticity theory, plasma diffusion equation, and moving ...
Feixiang Tang, Yaqin Song
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Nonlocal diffusion and applications
, 2015 We consider the fractional Laplace framework and provide models and theorems related to nonlocal diffusion phenomena. Some applications are presented, including: a simple probabilistic interpretation, water waves, crystal dislocations, nonlocal phase transitions, nonlocal minimal surfaces and Schrödinger equations.
Bucur, Claudia, Valdinoci, Enrico
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Spin‐Split Edge States in Metal‐Supported Graphene Nanoislands Obtained by CVD
Advanced Materials, EarlyView.Combining STM measurements and ab‐initio calculations, we show that zig‐zag edges in graphene nanoislands grown on Ni(111) by CVD retrieve their spin‐polarized edge states after intercalation of a few monolayers of Au. ABSTRACT Spin‐split states localized on zigzag edges have been predicted for different free‐standing graphene nanostructures.
Michele Gastaldo +6 more
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Biological modeling with nonlocal advection–diffusion equations
Mathematical Models and Methods in Applied Sciences, 2023 The employment of nonlocal PDE models to describe biological aggregation and other phenomena has gained considerable traction in recent years. For cell populations, these methods grant a means of accommodating essential elements such as cell adhesion, critical to the development and structure of tissues.
Painter, K.J., Hillen, T., Potts, J.R.
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Space‐Time Coding Conformal Metasurfaces for Multifrequency Beam Steering and Shaping
Advanced Materials, EarlyView.Space‐time coding conformal metasurfaces enable dynamic wave control on curved surfaces by combining programmable spatial patterns with temporal modulation. This study shows that a single conformal aperture can independently manipulate multiple frequency components, achieving multifunctional beam shaping and steering, with implications for ...
Filippo Pepe +8 more
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Angewandte Chemie, EarlyView.Trace Mg doping into gallia–alumina generates hole‐type oxygen species that accelerate hydrogen recombination, eliminating the need for Pt promotion. The fully oxide‐based catalyst resists sintering under repeated regeneration, outperforming benchmark PtSn and CrOx catalysts with exceptional stability over 30 dehydrogenation–regeneration cycles ...
DongHwan Oh +8 more
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Advances in Nonlinear AnalysisReaction–nonlocal diffusion equations (RNDEs) model nonlocal transport and anomalous diffusion by replacing the Laplacian with a fractional power, capturing diffusion mechanisms beyond Brownian motion.
Yuan Pu, Zegeling Paul A.
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