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nlin.PS2023
Turing bifurcation in the Swift-Hohenberg equation on deterministic and random graphs
Georgi S. Medvedev, Dmitry E. Pelinovsky
The Swift-Hohenberg equation (SHE) is a partial differential equation that explains how patterns emerge from a spatially homogeneous state. It has been widely used in the theory of…
math.NA2023
Galerkin method for nonlocal diffusion equations on self-similar domains
Georgi S. Medvedev
Integro-differential equations, analyzed in this work, comprise an important class of models of continuum media with nonlocal interactions. Examples include peridynamics, populatio…