### Abstract

It is shown that there exist solutions for which the linear differential equations of physics are transformed into nonlinear equations. The corresponding diffusion Maxwellian solution of the equation of magnetic induction in a moving medium can be used to describe the emergence and subsequent evolution of the magnetic fields of the Earth, Sun, and other planets and stars. If the magnetic viscosity is complex, the evolution of the magnetic induction is cyclic, in which case the magnetic induction can change sign.

Original language | English |
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Pages (from-to) | 1-7 |

Number of pages | 7 |

Journal | Russian Physics Journal |

DOIs | |

Publication status | Accepted/In press - 8 Sep 2016 |

### Fingerprint

### Keywords

- diffusion Maxwellian electrodynamics
- nonlinear diffusion

### ASJC Scopus subject areas

- Physics and Astronomy(all)

### Cite this

*Russian Physics Journal*, 1-7. https://doi.org/10.1007/s11182-016-0821-9

**Diffusion Solution of the Equation of Magnetic Induction in a Moving Medium.** / Lasukov, V. V.; Malik, K. K.; Moldovanova, E. A.; Abdrashitova, M. O.; Gorbacheva, E. S.; Rozhkova, S. V.

Research output: Contribution to journal › Article

*Russian Physics Journal*, pp. 1-7. https://doi.org/10.1007/s11182-016-0821-9

}

TY - JOUR

T1 - Diffusion Solution of the Equation of Magnetic Induction in a Moving Medium

AU - Lasukov, V. V.

AU - Malik, K. K.

AU - Moldovanova, E. A.

AU - Abdrashitova, M. O.

AU - Gorbacheva, E. S.

AU - Rozhkova, S. V.

PY - 2016/9/8

Y1 - 2016/9/8

N2 - It is shown that there exist solutions for which the linear differential equations of physics are transformed into nonlinear equations. The corresponding diffusion Maxwellian solution of the equation of magnetic induction in a moving medium can be used to describe the emergence and subsequent evolution of the magnetic fields of the Earth, Sun, and other planets and stars. If the magnetic viscosity is complex, the evolution of the magnetic induction is cyclic, in which case the magnetic induction can change sign.

AB - It is shown that there exist solutions for which the linear differential equations of physics are transformed into nonlinear equations. The corresponding diffusion Maxwellian solution of the equation of magnetic induction in a moving medium can be used to describe the emergence and subsequent evolution of the magnetic fields of the Earth, Sun, and other planets and stars. If the magnetic viscosity is complex, the evolution of the magnetic induction is cyclic, in which case the magnetic induction can change sign.

KW - diffusion Maxwellian electrodynamics

KW - nonlinear diffusion

UR - http://www.scopus.com/inward/record.url?scp=84986266309&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84986266309&partnerID=8YFLogxK

U2 - 10.1007/s11182-016-0821-9

DO - 10.1007/s11182-016-0821-9

M3 - Article

SP - 1

EP - 7

JO - Russian Physics Journal

JF - Russian Physics Journal

SN - 1064-8887

ER -