arXiv:2103.06753 Abstract | arXiv Analytics

arXiv:2103.06753 [math.AP]Abstract References Reviews Resources

Quasistatic limit for Burgers equation

Published 2021-03-11Version 1

We study the quasi-static limit for the $L^\infty$ entropic weak solution of the one-dimensional Burgers' equation with boundary conditions. The quasistationary profile evolves with the quasi-static Burgers' equation, whose entropic solution is determined by the stationary profile corresponding to the boundary data at a given time.

Categories: math.AP

Subjects: 35L04, 35D40

Keywords: burgers equation, quasistatic limit, entropic weak solution, boundary data, quasi-static limit

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