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@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/} }
TY - JOUR AU - A. I. Allilueva AU - A. I. Shafarevich TI - Localized Asymptotic Solutions of the Linearized System of Magnetic Hydrodynamics JO - Matematičeskie zametki PY - 2017 SP - 807 EP - 815 VL - 102 IS - 6 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/MZM_2017_102_6_a0/ LA - ru ID - MZM_2017_102_6_a0 ER -
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/
[1] H. K. Moffatt, Magnetic Field Generation in Electrically Conducting Fluids, Cambridge Univ. Press, Cambridge, 1978
[2] S. Friedlander, M. M. Vishik, “On stability and instability criteria for magnetohydrodynamics”, Chaos, 5:2 (1995), 416–423 | DOI | MR | Zbl
[3] V. V. Kucherenko, “Waves in the linearized system of magnetohydrodynamics”, Russ. J. Math. Phys., 17:3 (2010), 272–279 | DOI | MR | Zbl
[4] V. V. Kucherenko, A. Kryvko, “Interaction of Alfven waves in the linearized system of magnetohydrodynamics for an incompressible ideal fluid”, Russ. J. Math. Phys., 20:1 (2013), 56–67 | DOI | MR | Zbl
[5] S. Yu. Dobrokhotov, V. Martines Olive, “Lokalizovannye asimptoticheskie resheniya uravneniya magnitnogo dinamo v $ABC$-polyakh”, Matem. zametki, 54:4 (1993), 45–68 | MR | Zbl
[6] S. Yu. Dobrokhotov, A. I. Shafarevich, B. Tirozzi, “Localized wave and vortical solutions to linear hyperbolic systems and their application to linear shallow water equations”, Russ. J. Math. Phys., 15:2 (2008), 192–221 | DOI | MR | Zbl
[7] S. Yu. Dobrokhotov, V. E. Nazaikinskii, “Prokolotye lagranzhevy mnogoobraziya i asimptoticheskie resheniya lineinykh uravnenii voln na vode s lokalizovannymi nachalnymi usloviyami”, Matem. zametki, 101:6 (2017), 936–943 | DOI | MR
[8] S. Yu. Dobrokhotov, V. E. Nazaikinskii, “Propagation of a linear wave created by a spatially localized perturbation in a regular lattice and punctured Lagrangian manifolds”, Russ. J. Math. Phys., 24:1 (2017), 127–133 | DOI | MR
[9] V. P. Maslov, “Nestandartnye kharakteristiki v asimptoticheskikh zadachakh”, UMN, 38:6 (234) (1983), 3–36 | MR | Zbl
[10] A. I. Allilueva, A. I. Shafarevich, “Nestandartnye kharakteristiki i lokalizovannye asimptoticheskie resheniya linearizovannoi sistemy magnitnoi gidrodinamiki s malymi vyazkostyu i soprotivleniem”, TMF, 190:1 (2017), 191–204 | DOI | MR
[11] A. I. Allilueva, A. I. Shafarevich, “Asymptotic support of localized solutions of the linearized system of magnetohydrodynamics”, Russ. J. Math. Phys., 23:4 (2016), 425–430 | DOI | MR | Zbl
[12] A. I. Allilueva, A. I. Shafarevich, “Asymptotic solutions of linearized Navier–Stokes equations localized in small neighborhoods of curves and surfaces”, Russ. J. Math. Phys., 22:4 (2015), 421–426 | DOI | MR | Zbl
[13] O. N. Kirillov, Nonconservative Stability Problems of Modern Physics, De Gruyter Stud. Math. Phys., 14, De Gruyter, Berlin, 2013 | MR | Zbl