Reformulation of elliptic equations for heat transfer and diffusion in solids with space-time algebra
From MaRDI portal
Publication:6187557
DOI10.1142/s0219887822500153zbMath1529.58008OpenAlexW3216083267MaRDI QIDQ6187557
Publication date: 31 January 2024
Published in: International Journal of Geometric Methods in Modern Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1142/s0219887822500153
Elliptic equations on manifolds, general theory (58J05) Diffusion processes and stochastic analysis on manifolds (58J65) Heat and other parabolic equation methods for PDEs on manifolds (58J35) Noncommutative global analysis, noncommutative residues (58J42)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Sedenionic formulation for generalized fields of dyons
- Field equations in the complex quaternion spaces
- Hyperbolic quaternion formulation of electromagnetism
- Propagation and reflection of thermal waves in a finite medium
- Generalized octonion electrodynamics
- Thermal oscillation and resonance in dual-phase-lagging heat conduction
- The paradox of Fourier heat equation: a theoretical refutation
- Sedeonic field equations for dyons
- Quaternionic formulation of the classical fields
- Sedeonic equations in field theory
- Comparing the dual phase lag, Cattaneo-Vernotte and Fourier heat conduction models using modal analysis
- Reformulation of electromagnetic and gravito-electromagnetic equations for Lorentz system with octonion algebra
- Sedeonic equations of massive fields
- A new approach on electromagnetism with dual number coefficient octonion algebra
- Spacetime algebra for the reformulation of fluid field equations
- The octonions
- Linearized electromagnetic and gravito-Heavisidian chirality in split octonion space-time
- Quaternionic electrodynamics
- A primer on the differential geometry of quaternionic curves
- Heat waves
- Forces in the complex octonion curved space
- Sedenions: Algebra and analysis
This page was built for publication: Reformulation of elliptic equations for heat transfer and diffusion in solids with space-time algebra