Kuramoto Model on Sierpinski Gasket I: Harmonic Maps
ABSTRACT Motivated by the study of attractors in the Kuramoto model (KM) on graphs, approximating the Sierpinski gasket (SG), we revisit the problem of harmonic maps (HMs) from SG to the circle, first considered by Strichartz. We provide a geometric proof of Strichartz's theorem, which states that for a prescribed degree and suitable boundary ...
Georgi S. Medvedev, Matthew S. Mizuhara
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Pattern Formation in Agent-Based and PDE Models for Evolutionary Games with Payoff-Driven Motion. [PDF]
Yao T, Xu C, Cooney DB.
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Strong well‐posedness for a stochastic fluid‐rigid body system via stochastic maximal regularity
Abstract We develop a rigorous analytical framework for a coupled stochastic fluid‐rigid body system in R3$\mathbb {R}^3$. The model describes the motion of a rigid ball immersed in an incompressible Newtonian fluid subjected to both additive noise in the fluid and body equations and transport‐type noise in the fluid equation. We establish local strong
Felix Brandt, Arnab Roy
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Analytical and numerical solutions of MABC fractional advection dispersion models by utilizing the modified physics informed neural networks with impacts of fractional derivative. [PDF]
Az-Zo'bi EA +8 more
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How Volume Increases the Mobility of Geophysical Granular Flow: A Unified Rheological Perspective
Abstract Geophysical granular flows, involving rapidly flowing granular materials, can exhibit volume‐enhanced mobility. Lacking a mechanistic understanding of such size effects limits the applications of lab‐scale findings to natural events. Using discrete element method simulations, we find that increasing granular system size suppresses energy ...
Ming Peng +5 more
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Nonlocal problems with an integral boundary condition for the differential equations of odd order
Kozhanov, A. I., Lukina, G. A.
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Analytical solutions and dynamic behavior of conformable fractional reaction-diffusion systems. [PDF]
Alshehry AS, Shah R, Alqahtani AM.
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Fractional spatiotemporal Hahnfeldt tumor model with convergence analysis and optimal control. [PDF]
Can E.
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Non-ordinary state-based peridynamics model for rock crack propagation: a combined stress-energy fracture method. [PDF]
Gong B, Song Y, Zhang L, Chao W.
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ON A NONLOCAL BOUNDARY VALUE PROBLEM WITH INTEGRAL CONDITIONS FOR A FRACTIONAL TELEGRAPH EQUATION
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