To the question of large-amplitude electron oscillations in a plasma slab
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 51 (2011) no. 3, pp. 456-469
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A new approach is proposed for constructing and analyzing piecewise smooth exact solutions of the system of quasilinear hyperbolic equations that models the simplest electron oscillations in a plasma slab. A necessary and sufficient condition for their existence and uniqueness is established. An approximate numerical–analytical solution method is constructed for smooth initial data.
@article{ZVMMF_2011_51_3_a4,
author = {E. V. Chizhonkov},
title = {To the question of large-amplitude electron oscillations in a~plasma slab},
journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
pages = {456--469},
publisher = {mathdoc},
volume = {51},
number = {3},
year = {2011},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZVMMF_2011_51_3_a4/}
}
TY - JOUR AU - E. V. Chizhonkov TI - To the question of large-amplitude electron oscillations in a plasma slab JO - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki PY - 2011 SP - 456 EP - 469 VL - 51 IS - 3 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/ZVMMF_2011_51_3_a4/ LA - ru ID - ZVMMF_2011_51_3_a4 ER -
E. V. Chizhonkov. To the question of large-amplitude electron oscillations in a plasma slab. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 51 (2011) no. 3, pp. 456-469. http://geodesic.mathdoc.fr/item/ZVMMF_2011_51_3_a4/