Some remarks concerning the one-dimensional Burgers equation
Abstract
The behaviour of solutions of the Burgers system (1)-(3) is studied. In earlier papers [4], [5] the problem of the global stability of the constant solution (U,υ) = (P/ν,0) when P/ν ≤ ν was solved. The behaviour of those solutions (U,υ) which do not converge to the constant solution when t tends to infinity is studied here. In part 3 some of its properties are studied, while in parts 2 and 4 several a priori estimates needed in the proof of existence of solutions are presented.
References
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Instytut Matematyki, Uniwersytet Śląski w Katowicach Poland
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