Correctness of certain linear problems regarding the stability of strong gaps in magnetohydrodynamics. (English. Russian original) Zbl 0712.76096
Sib. Math. J. 31, No. 2, 187-191 (1990); translation from Sib. Mat. Zh. 31, No. 2(180), 3-8 (1990).
MSC:
76W05 | Magnetohydrodynamics and electrohydrodynamics |
35Q35 | PDEs in connection with fluid mechanics |
Keywords:
stability of strong gaps; magnetohydrodynamics; incorrectness of Hadamard-example type; linear compound problemsReferences:
[1] | A. G. Kulikovskii and G. A. Lyubimov, Magnetohydrodynamics [in Russian], Gos. Izd. Fiz.-Mat. Lit., Moscow (1962). |
[2] | A. M. Blokhin and I. Yu. Druzhinin, ?The statement of the problem of the stability of gaps in magnetohydrodynamics,? in: Boundary Problems for Partial Differential Equations [in Russian], Collection of Scientific Papers, Academy of Sciences of the USSR, Siberian Section, Mathematics Institute, Nauka, Novosibirsk (1988), No. 1, pp. 16-38. |
[3] | A. M. Blokhin and I. Yu. Druzhinin, ?The stability of percussion waves in magnetohydrodynamics,? Sib. Mat Zh.,30, No. 4, 13-29 (1989). |
[4] | S. K. Godunov, Equations of Mathematical Physics [in Russian], Nauka, Moscow (1979). · Zbl 0447.22011 |
[5] | A. M. Blokhin, Integrals of Energy and Their Applications to Problems of Gas Dynamics [in Russian], Nauka, Novosibirsk (1986). |
[6] | S. Mizohata, The Theory of Partial Differential Equations, Cambridge University Press, New York (1973). · Zbl 0263.35001 |
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