Geodesic
On the structure of solutions of a class of hyperbolic systems with several spatial variables in the far field
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 56 (2016) no. 4, pp. 639-649

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An asymptotic expansion of the solution to the Cauchy problem for a class of hyperbolic weakly nonlinear systems with many spatial variables is constructed. A parabolic quasilinear equation describing the behavior of the solution at asymptotically large values of the independent variables is obtained. The pseudo-diffusion processes that depend on the relationship between the number of equations and the number of spatial variables are analyzed. The structure of the subspace in which there are pseudo-diffusion evolution processes of the solution in the far field is described. 
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     author = {A. V. Nesterov},
     title = {On the structure of solutions of a class of hyperbolic systems with several spatial variables in the far field},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
     pages = {639--649},
     publisher = {mathdoc},
     volume = {56},
     number = {4},
     year = {2016},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_2016_56_4_a8/}
}
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A. V. Nesterov. On the structure of solutions of a class of hyperbolic systems with several spatial variables in the far field. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 56 (2016) no. 4, pp. 639-649. http://geodesic.mathdoc.fr/item/ZVMMF_2016_56_4_a8/