Solutions to the burgers equation with periodic perturbations on boundary
Abstract
The asymptotic behavior of solutions of the Burgers equation with initial value - boundary problem on a finite interval with periodic boundary conditions is studied. The equation describes a dissipative medium, so a constant initial profile will evolve to a travelling-wave solution. Its asymptotic limit is periodic ’sawtooth’ solution with periodical breaks of derivative, similar to the Fay solution on a half-line.
References
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Review
For citations:
Samokhin A.V. Solutions to the burgers equation with periodic perturbations on boundary. Civil Aviation High Technologies. 2015;(220):82-87. (In Russ.)
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