Fractal diffusion from a geometric Ricci flow

DOI10.1007/s41808-022-00169-6OpenAlexW4288058076WikidataQ114217437 ScholiaQ114217437MaRDI QIDQ2091761

Ahmad Rami El-Nabulsi

Publication date: 2 November 2022

Published in: Journal of Elliptic and Parabolic Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s41808-022-00169-6

zbMATH Keywords

Ricci flowfractal derivativeanomalous Gaussian measure

Mathematics Subject Classification ID

Fractals (28A80) Ricci flows (53E20)

Related Items

An efficient approach to converting the damping fractal models to the traditional system

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A note on conformal Ricci flow
• Curvature pinching estimate and singularities of the Ricci flow
• The long-time behavior of 3-dimensional Ricci flow on certain topologies
• The Ricci flow approach to homogeneous Einstein metrics on flag manifolds
• Ricci flow and nonlinear reaction-diffusion systems in biology, chemistry, and physics
• The Ricci flow on the 2-sphere
• On the entropy estimate for the Ricci flow on compact 2-orbifolds
• The anomaly flow and the Fu-Yau equation
• Geometric flows and Strominger systems
• Ricci flow under local almost non-negative curvature conditions
• Anomaly flows
• Three-manifolds with positive Ricci curvature
• Fractional and fractal advection-dispersion model
• Modeling attractors of chaotic dynamical systems with fractal-fractional operators
• Time-space fabric underlying anomalous diffusion
• On Perelman’s functional with curvature corrections
• RICCI FLOW DEFORMATION OF COSMOLOGICAL INITIAL DATA SETS
• A NOTE ON THE QUANTUM-MECHANICAL RICCI FLOW
• A MECHANICS FOR THE RICCI FLOW
• A note on uniformization of Riemann surfaces by Ricci flow
• Riemannian Groupoids and Solitons for Three-Dimensional Homogeneous Ricci and Cross-Curvature Flows
• Ricci flows, wormholes and critical phenomena
• RICCI FLOW, QUANTUM MECHANICS AND GRAVITY
• QUANTUM WORMHOLE AS A RICCI FLOW
• The Riemann Hypothesis and Inverse Spectral Problems for Fractal Strings
• A FRACTAL MODEL FOR PREDICTING OXYGEN EFFECTIVE DIFFUSIVITY OF POROUS MEDIA WITH ROUGH SURFACES UNDER DRY AND WET CONDITIONS
• A TUTORIAL INTRODUCTION TO THE TWO-SCALE FRACTAL CALCULUS AND ITS APPLICATION TO THE FRACTAL ZHIBER–SHABAT OSCILLATOR
• Fractal Geometry, Complex Dimensions and Zeta Functions