Geodesic
Nonstandard characteristics and localized asymptotic solutions of a~linearized magnetohydrodynamic system with small viscosity and drag
Teoretičeskaâ i matematičeskaâ fizika, Tome 190 (2017) no. 1, pp. 191-204

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We describe asymptotic solutions of the Cauchy problem for a linearized system of magnetohydrodynamics with initial conditions localized in a small neighborhood of a curve or a two-dimensional surface. We investigate how a change of the multiplicity of characteristics affects such solutions and prove a uniform estimate of the residual.
Mots-clés : magnetohydrodynamic equation
Keywords: nonstandard characteristic. 
@article{TMF_2017_190_1_a13,
     author = {A. I. Allilueva and A. I. Shafarevich},
     title = {Nonstandard characteristics and localized asymptotic solutions of a~linearized magnetohydrodynamic system with small viscosity and drag},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {191--204},
     publisher = {mathdoc},
     volume = {190},
     number = {1},
     year = {2017},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2017_190_1_a13/}
}
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A. I. Allilueva; A. I. Shafarevich. Nonstandard characteristics and localized asymptotic solutions of a~linearized magnetohydrodynamic system with small viscosity and drag. Teoretičeskaâ i matematičeskaâ fizika, Tome 190 (2017) no. 1, pp. 191-204. http://geodesic.mathdoc.fr/item/TMF_2017_190_1_a13/