Geodesic
The Cauchy Problem for the Average Field Equation Describing a Model of a Magnetic Solid
Matematičeskie zametki, Tome 70 (2001) no. 3, pp. 434-445

Voir la notice de l'article provenant de la source Math-Net.Ru

We study a model of a magnetic solid treated as a system of particles with mechanical moment $\vec s$, $\vec s\in S^2$, and magnetic moment $\vec\mu$, $\vec\mu =\vec s$, interacting with one another via the magnetic field, which determines variations in the mechanical moment of each particle. We study the system of integro-differential equations describing the evolution of the one-particle distribution function for this system of particles. We prove existence and uniqueness theorems for the generalized and the classical solution of the Cauchy problem for this system of equations. We also prove that the generalized solution continuously depends on the initial conditions. 
@article{MZM_2001_70_3_a10,
     author = {V. Zh. Sakbaev},
     title = {The {Cauchy} {Problem} for the {Average} {Field} {Equation} {Describing} a {Model} of a {Magnetic} {Solid}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {434--445},
     publisher = {mathdoc},
     volume = {70},
     number = {3},
     year = {2001},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2001_70_3_a10/}
}
TY  - JOUR
AU  - V. Zh. Sakbaev
TI  - The Cauchy Problem for the Average Field Equation Describing a Model of a Magnetic Solid
JO  - Matematičeskie zametki
PY  - 2001
SP  - 434
EP  - 445
VL  - 70
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/MZM_2001_70_3_a10/
LA  - ru
ID  - MZM_2001_70_3_a10
ER  - 
%0 Journal Article
%A V. Zh. Sakbaev
%T The Cauchy Problem for the Average Field Equation Describing a Model of a Magnetic Solid
%J Matematičeskie zametki
%D 2001
%P 434-445
%V 70
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/item/MZM_2001_70_3_a10/
%G ru
%F MZM_2001_70_3_a10
V. Zh. Sakbaev. The Cauchy Problem for the Average Field Equation Describing a Model of a Magnetic Solid. Matematičeskie zametki, Tome 70 (2001) no. 3, pp. 434-445. http://geodesic.mathdoc.fr/item/MZM_2001_70_3_a10/