Results 101 to 110 of about 3,306 (214)
A Nonlocal-to-Local Approach to Aggregation-Diffusion Equations
SIAM ReviewOver the past 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. Using differential adhesion between cells as
Carles Falcó +2 more
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Random Carbon Tax Policy and Investment Into Emission Abatement Technologies
Mathematical Finance, EarlyView.ABSTRACT We analyze the problem of a profit‐maximizing electricity producer, subject to carbon taxes, who decides on investments into CO2$\rm CO_2$ abatement technologies. We assume that the carbon tax policy is random and that the investment in the abatement technology is divisible, irreversible, and subject to transaction costs.
Katia Colaneri +2 more
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Pattern formation in a diffusive intraguild predation model with nonlocal interaction effects
AIP Advances, 2019 In this paper, we investigate the spatiotemporal pattern formation in a diffusive intraguild predation (IGP) model with a nonlocal interaction term in the growth of the shared resource, which extends previous studies of local reaction-diffusion IGP model.
Renji Han, Binxiang Dai, Yuming Chen
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Toward Safer and Sustainable Lithium Metal Batteries: Fluorine‐Free Solid Polymer Electrolytes
ENERGY &ENVIRONMENTAL MATERIALS, Volume 9, Issue 5, September 2026.An analysis to assess the impact of fluorine in polymer electrolyte‐based lithium metal batteries has been conducted. It has been demonstrated that fluorine‐free LiTIM salt delivers a electrochemical performance similar to that of its fluorinated analogue salts, given the complete lithium dissociation in coordination with PEO and the restricted anion ...
David Fraile‐Insagurbe +10 more
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Numerical Methods for Partial Differential Equations, Volume 42, Issue 5, September 2026.ABSTRACT In this work, we present an extension of the semi‐discrete Lagrangian‐Eulerian numerical scheme for diffusive‐dispersive conservation law problems, including a jump discontinuous flux function. As in the one‐dimensional scalar hyperbolic case, the no‐flow curves also organize the geometry of the method.
Eduardo Abreu +2 more
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Fractional Diffusion in Computational Modeling of Radiofrequency Tumor Ablation
Fractal and FractionalRadiofrequency ablation (RFA) is commonly modeled using classical heat diffusion equations; however, growing evidence suggests that heat transport in biological tissues exhibits nonlocal and scale-dependent behavior driven by capillary perfusion. In this
Ivan Lirkov +2 more
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A finite element approach to the Keller–Segel Chemotaxis system with impact of nonlocal diffusion
Boundary Value ProblemsThis paper presents the investigation of a boundedness solution for a Keller–Segel chemotaxis (KSC) system with nonlocal diffusion. In order to achieve boundedness, we derive the necessary and sufficient condition based on the assumption of ensuring a ...
A. Baskar, V. Parthiban
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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 ...
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Miskolc Mathematical NotesIn this paper, we investigate an inverse time-dependent source problem for a time-fractional diffusion equation with nonlocal boundary and integral over-determination conditions. The fractional derivative is described in the generalized Caputo sense. The
Farid Mihoubi, Brahim Nouiri
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