Asymptotics of the Riemann-Hilbert Problem for a Magnetic Reconnection Model in Plasmaстатья
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Дата последнего поиска статьи во внешних источниках: 13 января 2021 г.
Аннотация:For the Riemann-Hilbert problem in a singularly deformed domain, an asymptotic expansion is found that corresponds to the limit transition from Somov’s magnetic reconnection model to Syrovatskii’s one as the relative shock front length r tends to zero. It is shown that this passage to the limit corresponding to r tends to 0 is performed with the preservation of the reverse current region, while the parameter determining magnetic field refraction on shock waves grows as r in minus 1/2 power. Moreover, the correction term to the Syrovatskii field has the order of and decreases in an inverse proportion to the distance from the current configuration.