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Unique global solution with respect to time of initial-boundary value problems for one-dimensional equations of a viscous gas. (English. Russian original) Zbl 0393.76043
J. Appl. Math. Mech. 41(1977), 273-282 (1978); translation from Prikl. Mat. Mekh. 41, 282-291 (1977).

MSC:
76N15 Gas dynamics (general theory)
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References:
[1] Sedov, L.I., ()
[2] Rozhdestvenskii, B.L.; Ianenko, N.N., Systems of quasi-linear equations and their application to gas dynamics, (1968), Nauka Moscow
[3] Kazhikhov, A.V., On the global solvability of one-dimensional boundary value problems for the equations of a viscous heat conducting gas, () · Zbl 0515.76076
[4] Kanel’, Ia.I., On a model system of equations of one-dimensional gas flow, Differentsial’nye uravneniia, Vol. 4, N≗ 4, (1968)
[5] Itaya, N., On the temporally global problem of the generalized Burgers equation, J. math. Kyoto univ., Vol. 14, N≗ 1, (1974) · Zbl 0302.35032
[6] Kazhikhov, A.V., Correctness “in the whole” of the mixed boundary value problems for a model system of equations of a viscous gas, () · Zbl 0697.76088
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