A nonlocal convection–diffusion equation

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Blow-up for a non-local diffusion problem with Neumann boundary conditions and a reaction term (2009, methodology): “Non-local evolution equations of the form ut (x, t) = ∫ RN J (x−y)u(y, t) dy−u(x, t), and their variations, have been widely used to model diffusion processes, see [1–4,6–8,10–14,18].”
On the principal eigenvalue of some nonlocal diffusion problems (2009, background): “See also [28] for the appearance of convective terms, [2] for a problem with nonlinear nonlocal diffusion and [13], [14], [15] for interesting features in other related nonlocal problems.”
Analysis and Approximation of Nonlocal Diffusion Problems with Volume Constraints (2012, background): “The one-dimensional case of a nonlinear advective conservation law is the subject of [28] and nonlocal convection-diffusion is investigated in [35].”
Decay estimates for nonlocal problems via energy methods (2009, methodology): “1) was studied in [12], see also [21] and [22], where the authors prove that every solution to (1.”
A logistic equation with refuge and nonlocal diffusion (2009, background): “See also [28] for the appearance of convective terms and [11], [12] for interesting features in other related nonlocal problems.”