Results 121 to 130 of about 1,252,466 (233)

Influence of nonlocal on a rotating thermoelastic medium with diffusion and double porosity

Scientific Reports
In this paper, we have studied the thermodynamical interactions in a two-dimensional thermoelastic diffusion in homogeneous isotropic medium with nonlocal, rotation and double porosity in the context of Green–Lindsay theory. A thermal load was applied to
Doaa M. Salah, A. M. Abd-Alla, S. M. M. El-Kabeir   +2 more
doaj   +1 more source

Concentrated Couple in a Plane and in a Half-Plane in the Framework of Fractional Nonlocal Elasticity

Applied Sciences
In nonlocal elasticity, the constitutive equation for the stress tensor is written in an integral form, with the weight function, referred to as the nonlocality kernel, often being the Green’s function for the partial differential equation. In this paper,
Yuriy Povstenko, Tamara Kyrylych, Bożena Woźna-Szcześniak, Ireneusz Szcześniak, Andrzej Yatsko   +4 more
doaj   +1 more source

A Nonlocal-to-Local Approach to Aggregation-Diffusion Equations

SIAM Review
Abstract. Over the past few decades, nonlocal models have been widely used to describe aggregation phenomena in biology, physics, engineering, and the social sciences. These are often derived as mean-field limits of attraction-repulsion agent-based models and consist of systems of nonlocal partial differential equations.
Carles Falcó, Ruth E. Baker, José A. Carrillo 0001   +2 more
openaire   +4 more sources

Quantitative maximal L2$L^2$‐regularity for viscous Hamilton–Jacobi PDEs in 2D and Mean Field Games

Bulletin of the London Mathematical Society, Volume 58, Issue 11, November 2026.
Abstract We discuss quantitative Calderón–Zygmund estimates in W2,2$W^{2,2}$ for 2D viscous Hamilton–Jacobi equations with natural growth in the gradient. We apply the result to obtain the existence of classical solutions for stationary second‐order mean field games systems in 2D with (defocusing) coupling behaving like mα$m^\alpha$ for any α>0$\alpha >
Alessandro Goffi
wiley   +1 more source

Rigorous derivation of the nonlocal reaction-diffusion FitzHugh-Nagumo system

, 2019
International audienceWe introduce a spatially extended transport kinetic FitzHugh-Nagumo model with forced local interactions and prove that its hydrodynamic limit converges towards the classical nonlocal reaction-diffusion FitzHugh-Nagumo system.
Crevat, Joachim, Faye, Grégory, Filbet, Francis   +2 more
core   +1 more source

Spatiotemporal dynamics and optimal control of an infection-age structured reaction-diffusion epidemic model with waning immunity

Electronic Journal of Differential Equations
Classical infectious disease models often neglect the interplay of spatial diffusion, infection-age structure, and time-dependent controls. We address this gap by analyzing a spatiotemporal SIQRV reaction-diffusion model structured by infection age ...
Nikhil Chanauria, Syed Abbas
doaj   +3 more sources

A Fractional Reaction–Diffusion Model for Electroactive Polymer Films: Stability Analysis and Numerical Simulation

Journal of Applied Mathematics
The aim of the work is to investigate a nonlinear reaction–diffusion model applied to electroactive polymer films, formulated within a fractional-order framework to incorporate spatial nonlocality and anomalous transport effects.
Yogeshwari F. Patel, Mohammad Izadi, Hany M. Ahmed   +2 more
doaj   +1 more source

Neural Adjoint Inverse Design of Three‐Dimensional Nanophotonic Devices

Nanophotonics, Volume 15, Issue 20, 27 October 2026.
A stage‐wise Fourier neural operator is trained on FDTD adjoint gradients of volumetric meta‐optics, each stage refining residuals under progressively enlarged Fourier‐mode cutoffs. Given any permittivity volume, the model reconstructs the 3D gradient field, from coarse envelope to resonance peaks, within a second, driving inverse design to 86–99% of ...
Chanik Kang, Hyewon Suk, Ikbeom Jang, Haejun Chung   +3 more
wiley   +1 more source

Ultra‐Weak Photon Emission as a By‐Product of Mitochondrial Oxidative Metabolism: Mechanisms, Limits, and Implications

Nanophotonics, Volume 15, Issue 20, 27 October 2026.
Mitochondrial oxidative metabolism generates ROS. Downstream chemiexcitation triplet carbonyls, singlet oxygen; produces ultra‐weak photon emission (UPE). Energetic bounds restrict well‐coupled respiration to extremely weak, red/NIR‐biased emission. Stronger visible UPE indicates elevated oxidative flux, linking measured photon counts to redox state ...
Samuel Crowther, Alice Attenborough, Frank Vollmer   +2 more
wiley   +1 more source

Symmetrization in nonlocal diffusion problems

, 2022
We study Talenti's type symmetrization properties for solutions of linear stationary and evolution problems. Our main result establishes the comparison in norm between the solution of a problem and its symmetric version when nonlocal diffusion defined through integrable kernels is replacing the usual local diffusion defined by a second order ...
openaire   +2 more sources