Cover Image

Potentials for solenoidal fields using the three-dimensional $\varphi$-harmonic cyclic algebra

UDC 517.5 Given a PDE, in [E. López-González, E. A. Martínez-García, R.~Torres-Córdoba, Chaos, Solitons and Fractals, 73, Article 113757 (2023)], the authors proposed a method for the construction of solutions by considering an associative real algebra $\mathbb A$ and a suitable affine vector field...

Full description

Saved in:

Bibliographic Details
Date:	2025
Main Authors:	Díaz-Marín, Homero G., López-González, Elifalet, Osuna, Osvaldo
Format:	Article
Language:	English
Published:	Institute of Mathematics, NAS of Ukraine 2025
Online Access:	https://umj.imath.kiev.ua/index.php/umj/article/view/7982
Tags:	Add Tag No Tags, Be the first to tag this record!
Journal Title:	Ukrains’kyi Matematychnyi Zhurnal
Download file:

Institution

Ukrains’kyi Matematychnyi Zhurnal

Similar Items

General Boundary Formulation for n-Dimensional Classical Abelian Theory with Corners
by: Díaz-Marín, H.G.
Published: (2015)

Quantum Boolean algebras
by: Diaz, Rafael
Published: (2017)

Quantum Boolean algebras
by: Diaz, R.
Published: (2017)

Monogenic functions in a three-dimensional harmonic semi-simple algebra
by: R. P. Pukhtaievych
Published: (2013)

On the Logarithmic Residues of Monogenic functions in a Three-Dimensional Harmonic Algebra with Two-Dimensional Radical
by: S. A. Plaksa, et al.
Published: (2013)

Constructive description of monogenic functions in a three-dimensional harmonic algebra with one-dimensional radical
by: S. A. Plaksa, et al.
Published: (2013)

The Cauchy type integral on the straight line in three-dimensional harmonic algebra with one-dimensional radical
by: R. P. Pukhtaievych, et al.
Published: (2015)

On the Logarithmic Residues of Monogenic functions in a Three-Dimensional Harmonic Algebra with Two-Dimensional Radical
by: Plaksa, S. A., et al.
Published: (2013)

Constructive description of monogenic functions in a three-dimensional harmonic algebra with one-dimensional radical
by: Plaksa, S. A., et al.
Published: (2013)

Quasi-Exactly Solvable N-Body Spin Hamiltonians with Short-Range Interaction Potentials
by: Enciso, A., et al.
Published: (2006)

Properties of $\varphi$-transformations of graphs and 2-manifolds
by: Khomenko, N. P., et al.
Published: (1971)

On Lappan's five-valued theorem for $\varphi$-normal functions in several variables
by: Datt, G., et al.
Published: (2022)

Embedding Theorems for the Dunkl Harmonic Oscillator on the Line
by: Álvarez López, J.A., et al.
Published: (2014)

On Saturation of Linear Summation Methods for Fourier Series in the Spaces $S_{\varphi} ^p$
by: Shydlich, A. L., et al.
Published: (2004)

A Perturbation of the Dunkl Harmonic Oscillator on the Line
by: Álvarez López, J.A., et al.
Published: (2015)

On the structure of the algebra of derivations of cyclic Leibniz algebras
by: Kurdachenko, L.A., et al.
Published: (2021)

On the structure of the algebra of derivations of cyclic Leibniz algebras
by: Kurdachenko, L. A., et al.
Published: (2022)

Algebras of Functionally Invariant Solutions of the Three-Dimensional Laplace Equation
by: Mel'nichenko, I. P., et al.
Published: (2003)

Application of permanent magnets for forming solenoidal fields
by: Bovda, A.М., et al.
Published: (2001)

Time-dependent Ginsburg–Landau simulations of superconducting vortices in three dimensions
by: A. Lara, et al.
Published: (2020)

Hausdorff analytic functions in a three-dimensional associative noncommutative algebra
by: V. Shpakivskyi, et al.
Published: (2022)

Three-dimensional Lie algebras for a one class of wave equations
by: O. V. Mahda
Published: (2017)

On the Skitovich-Darmois Theorem for a-Adic Solenoids
by: Mazur, I.P.
Published: (2013)

On the Skitovich-Darmois Theorem for a-Adic Solenoids
by: I. P. Mazur
Published: (2013)

Technique development for regulating the rate of solenoidal magnetic field decrease
by: Reshetnyak, N.G., et al.
Published: (2016)

Phase equilibria and interfacial properties of two-dimensional Yukawa fluids
by: Méndez-Maldonado, G.A., et al.
Published: (2012)

Isolated Horizons and Black Hole Entropy in Loop Quantum Gravity
by: Diaz-Polo, J., et al.
Published: (2012)

Cylindrical wiggler based on the solenoid loaded with different magnetic properties rings
by: Kopiychenko, D.Yu., et al.
Published: (2004)

Selective estimation of three-phase current harmonics
by: S. M. Peresada, et al.
Published: (2020)

Selective Compensation of three-phase current harmonics
by: S. M. Peresada, et al.
Published: (2018)

On differentiable and monogenic functions in a harmonic algebra
by: S. A. Plaksa
Published: (2017)

The description of the automorphism groups of finitedimensional cyclic Leibniz algebras
by: L. A. Kurdachenko, et al.
Published: (2022)

Cognitive Event-Related Potentials (P300) and Cognitive Impairment in Duchenne Muscular Dystrophy
by: Esquitin-Garduño N., et al.
Published: (2017)

Groupoids: Direct products, semidirect products and solvability
by: Marín, V., et al.
Published: (2022)

The Impact of the Coronavirus Crisis on Revenues of Hotel and Restaurant Businesses in Bulgaria
by: Marinov, Marin, et al.
Published: (2022)

An analog of the Men’shov – Trokhimchuk theorem for monogenic functions in a three-dimensional commutative algebra
by: Tkachuk, M. V., et al.
Published: (2021)

A Spectral Triple for a Solenoid Based on the Sierpinski Gasket
by: Aiello, Valeriano, et al.
Published: (2021)

ANALYSIS OF ELECTROMAGNETIC PROCESSES IN THE SYSTEM «CYLINDRICAL SOLENOID – MASSIVE CONDUCTOR»
by: Batygin, Yu. V., et al.
Published: (2018)

On the correct definition of the flow of a discontinuous solenoidal vector field
by: A. I. Noarov
Published: (2019)

Complex of Cryoapparatus with Built-in Superconductive Solenoid for Magnetophysical and Electrophysical Research
by: I. P. Zharkov, et al.
Published: (2016)