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• W1985530320 abstract "Abstract Solutions to the Burgers equation with small viscosity and a periodic driving force are considered. A class of traveling wave solutions is investigated by means of a linearizing transformation as well as asymptotic methods that can be applied to more general nonlinear equations. Using these techniques, travelling wave solutions are obtained for the case where the driving term represents the loss of stability of two harmonics in the spectrum. Numerical integration shows that the time-asymptotic behaviour reduces entirely to a dynamical system of periodic shock-train solutions originating from these two unstable harmonics. The stability of the solutions in the range of parameters where they represent a travelling waves is briefly considered." @default.
• W1985530320 created "2016-06-24" @default.
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• W1985530320 date "1995-09-01" @default.
• W1985530320 modified "2023-09-27" @default.
• W1985530320 title "Formation and regular dynamics of shock-trains in the Burgers model" @default.
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• W1985530320 doi "https://doi.org/10.1016/0167-2789(95)00176-5" @default.
• W1985530320 hasPublicationYear "1995" @default.
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