Uniqueness of self-similar solutions to the Riemann problem for the Hopf equation with complex nonlinearity


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Solutions of the Riemann problem for a generalized Hopf equation are studied. The solutions are constructed using a sequence of non-overturning Riemann waves and shock waves with stable stationary and nonstationary structures.

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A. Kulikovskii

Steklov Mathematical Institute

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Email: kulik@mi.ras.ru
俄罗斯联邦, ul. Gubkina 8, Moscow, 119991

A. Chugainova

Steklov Mathematical Institute

Email: kulik@mi.ras.ru
俄罗斯联邦, ul. Gubkina 8, Moscow, 119991

V. Shargatov

National Research Nuclear University MEPhI (Moscow Engineering Physics Institute)

Email: kulik@mi.ras.ru
俄罗斯联邦, Kashirskoe sh. 31, Moscow, 115409

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