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Asymptotic of the Riemann-Hilbert problem for Somov's model of magnetic reconnection in the case of long shock-wavesстатья
- Авторы: Bezrodnykh S.I., Vlasov V.I.
- Журнал: Mathematical Notes
- Том: 110
- Номер: 6
- Год издания: 2021
- Издательство: Pleiades Publishing, Ltd
- Местоположение издательства: Road Town, United Kingdom
- DOI: 10.1134/S0001434621110225
- Аннотация: We consider the Riemann–Hilbert problem in a domain of complicated shape (theexterior of a system of cuts), with the condition of growth of the solution at infinity. Such a problemarises in the Somov model of the effect of magnetic reconnection in the physics of plasma, and itssolution has the physical meaning of a magnetic field. The asymptotics of the solution is obtainedfor the case of infinite extension of four cuts from the given system, which have the meaning of shockwaves, so that the original domain splits into four disconnected components in the limit. It is shownthat if the coefficient in the condition of growth of the magnetic field at infinity consistently decreases in this case, then this field basically coincides in the limit with the field arising in the Petschek model of the effect of magnetic reconnection.
- Добавил в систему: Безродных Сергей Игоревич