Results 41 to 50 of about 1,252,466 (233)
Journal of Mathematical Analysis and Applications, 2015 In this paper, the authors are concerned with the existence of solutions to nonlocal parabolic partial differential equations, in the sense of aiming to construct solutions that inherit a certain minimizing property. Such parabolic minimizers or variational solutions are advantageous since they are likely to possess better regularity properties due to ...
Bögelein, Verena +3 more
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Axioms, 2023 In this paper, we introduce the Crowley–Martin functional response and nonlocal competition into a reaction–diffusion immunosuppressive infection model.
Yuan Xue, Jinli Xu, Yuting Ding
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Fractal and FractionalUltrafast diffusion disperses faster than super-diffusion, and this has been proven by several theoretical and experimental investigations. The mean square displacement of ultrafast diffusion grows exponentially, which provides a significant challenge ...
Wei Xu +3 more
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, 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 We prove the existence and uniqueness of a solution of a nonlocal cross-diffusion competitive population model for two species. The model may be considered as a version, or even an approximation, of the paradigmatic Shigesada--Kawasaki--Teramoto cross-diffusion model, in which the usual diffusion differential operator is replaced by an integral ...
Gonzalo Galiano, Julián Velasco Valdés
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A nonlocal sinusoidal plate model for micro/nanoscale plates [PDF]
, 2014 A nonlocal sinusoidal plate model for micro/nanoscale plates is developed based on Eringen’s nonlocal elasticity theory and sinusoidal shear deformation plate theory.
Thai, Huu-Tai +3 more
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Nonlocal Reaction–Diffusion Equations in Biomedical Applications
, 2022 Nonlocal reaction–diffusion equations describe various biological and biomedical applications. Their mathematical properties are essentially different in comparison with the local equations, and this difference can lead to important biological ...
Kuznetsov M. +11 more
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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 In this paper we address the regularity issues of drift-diffusion equation with nonlocal diffusion, where the diffusion operator is in the realm of stable-type Lévy operator and the velocity field is defined from the considered quantity by a zero-order pseudodifferential operator. Through using the method of nonlocal maximum principle in a unified way,
Changxing Miao, Liutang Xue
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Giant Anisotropic Spin Absorption in Chiral Hybrid Semiconductors
Advanced Materials, EarlyView.Researchers uncover that chiral hybrid organic–inorganic semiconductors absorb spin differently depending on its polarization direction. This anisotropic spin absorption is primarily driven by the local symmetry breaking within the layered structure.
Cong Yang +12 more
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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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