Dynamic Transitions of Generalized Burgers Equation |
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| Authors: | Limei Li Kiah Wah Ong |
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| Institution: | 1.Department of Mathematics and Software,Sichuan Normal University,Chengdu,People’s Republic of China;2.Department of Mathematics,Indiana University,Bloomington,USA;3.Department of Mathematical and Actuarial Sciences,Universiti Tunku Abdul Rahman,Kajang, Selangor,Malaysia |
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| 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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