Results 101 to 110 of about 1,252,466 (233)
Properness and Topological Degree for Nonlocal Reaction-Diffusion Operators [PDF]
, 2011 The paper is devoted to integro-differential operators, which correspond to nonlocal reaction-diffusion equations considered on the whole axis. Their Fredholm property and properness will be proved.
Volpert, Vitaly +3 more
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The Evolution of Interest‐Rate Models: From the Yield Curve to the Swaption Cube
Journal of Economic Surveys, EarlyView.ABSTRACT Interest‐rate modelling is often taught as a catalogue of competing stochastic equations, obscuring why models were created and why modern sell‐side desks use several simultaneously. This survey reorganises the field around five layers of a pricing architecture: curve construction; arbitrage‐free dynamics; volatility‐smile representation ...
Xuan Feng +2 more
wiley +1 more source
The diffusion equation with nonlocal data
Journal of Mathematical Analysis and Applications, 2018 21 pages, 3 ...
P.D. Miller, D.A. Smith
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A Stable Formulation for Wave‐Induced Fracture in Peridynamics
Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 4, December 2026.ABSTRACT The bond‐associated quadrature point formulation is a very accurate peridynamic formulation for elasticity, but modeling fracture by the traditional deletion of bonds can trigger severe numerical instabilities. These instabilities are most pronounced for wave‐induced fracture, where stress waves continue to propagate through already damaged ...
Kai Partmann +3 more
wiley +1 more source
On nonlocal diffusion of gases
, 1978 Od Vol. 43, issue 1 (1991) wyd.: Polish Scientific Publishers = PWN ; Od Vol. 50, issue 4 (1998) wyd.: Agencja Reklamowo-Wydawnicza A. Grzegorczyk ; Od Vol. 53, issue 4/5 (2001) wyd: PAS. IFTR ; 1-120 pages [I-VIII Authors' Index] ; 24 cm ; Od Vol. 43, issue 1 (1991) wyd.: Polish Scientific Publishers = PWN ; Od Vol.
Demiray, H., Eringen, A.C.
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A note on a nonlocal nonlinear reaction–diffusion model
Applied Mathematics Letters, 2012 We give an application of the Crandall-Rabinowitz theorem on local bifurcation to a system of nonlinear parabolic equations with nonlocal reaction and cross-diffusion terms as well as nonlocal initial conditions. The system arises as steady-state equations of two interacting age-structured populations.
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Reviews of Geophysics, Volume 64, Issue 4, December 2026.Abstract Spatial heterogeneity, manifested as strong variability in hydraulic conductivity (K) within geological formations, exerts a fundamental control on groundwater flow and solute transport. Because K can vary over multiple orders of magnitude in complex three‐dimensional patterns, predicting contaminant plume migration remains a long‐standing ...
Zhilin Guo +8 more
wiley +1 more source
Mathematical Analysis for Nonlocal Nonlinear Diffusion Models
, 2022 Nonlinear nonlocal diffusion models arise at the intersection of nonlinear diffusion -- when the diffusivity coefficient is state dependent -- and nonlocal models -- when the operators governing the equations are chosen to have integral, rather than ...
Olson, Hayley Anne
core
Angewandte Chemie, Volume 138, Issue 44, 26 October 2026.Alkoxy side chains regulate hydrazone‐linked COF nanochannel microenvironments by tuning pore polarity, reactant adsorption, and charge‐separation behavior. The optimized framework facilitates oxygen activation and hydrogen peroxide photosynthesis in real water and a 1 L natural‐sunlight reactor. LCA further shows that natural sunlight and larger‐scale
Ruixue Sun +11 more
wiley +2 more sources
Journal of Geophysical Research: Machine Learning and Computation, Volume 3, Issue 6, December 2026.Abstract Natural porous media are highly heterogeneous, with flow and transport controlled by pore‐space morphology and connectivity. Consequently, classical continuum models often fail to describe observed transport under strong heterogeneity. A key challenge is identifying physically interpretable transport models from sparse observational data.
Jinwoo Im +3 more
wiley +1 more source