Geodesic
Localized Asymptotic Solutions of the Linearized System of Magnetic Hydrodynamics
Matematičeskie zametki, Tome 102 (2017) no. 6, pp. 807-815

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We describe the asymptotic solutions of the Cauchy problem for the linearized system of equations of magnetic hydrodynamics with initial conditions localized near one point. It is shown that the structure of such solutions depends on whether the external magnetic field vanishes or not at this point. We discuss whether it is possible for the asymptotic solution to increase with time.
Keywords: equation of magnetic hydrodynamics, localized asymptotic solutions. 
@article{MZM_2017_102_6_a0,
     author = {A. I. Allilueva and A. I. Shafarevich},
     title = {Localized {Asymptotic} {Solutions} of the {Linearized} {System} of {Magnetic} {Hydrodynamics}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {807--815},
     publisher = {mathdoc},
     volume = {102},
     number = {6},
     year = {2017},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2017_102_6_a0/}
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A. I. Allilueva; A. I. Shafarevich. Localized Asymptotic Solutions of the Linearized System of Magnetic Hydrodynamics. Matematičeskie zametki, Tome 102 (2017) no. 6, pp. 807-815. http://geodesic.mathdoc.fr/item/MZM_2017_102_6_a0/