Some remarks concerning the one-dimensional Burgers equation

Tomasz Dłotko

Published: 1990-09-28

Vol. 4 (1990)

Some remarks concerning the one-dimensional Burgers equation

Tomasz Dłotko

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.

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Dłotko, T. (1990). Some remarks concerning the one-dimensional Burgers equation. Annales Mathematicae Silesianae, 4, 14–24. Retrieved from https://journals.us.edu.pl/index.php/AMSIL/article/view/14289

References

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Vol. 4 (1990)
Published: 1990-09-28

ISSN: 0860-2107

eISSN: 2391-4238

10.1515/amsil

Publisher

University of Silesia Press

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