Abstract
In this article, we study the dynamic transition for the one dimensional generalized Burgers equation with periodic boundary condition. The types of transition are dictated by the sign of an explicitly given parameter b, which is derived using the dynamic transition theory developed by Ma and Wang (Phase transition dynamics. Springer, New York, 2014). The rigorous result demonstrates clearly the types of dynamics transition in terms of length scale l, dispersive parameter δ and viscosity ν.
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Communicated by D. Chae.
The research of Limei Li is supported by National Science Foundation China Grant 11271271 and Sichuan Education Foundation Grant 12ZB108, and by National Study Abroad Foundation.
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Li, L., Ong, K.W. Dynamic Transitions of Generalized Burgers Equation. J. Math. Fluid Mech. 18, 89–102 (2016). https://doi.org/10.1007/s00021-015-0240-7
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DOI: https://doi.org/10.1007/s00021-015-0240-7