Complex-Valued Burgers and KdV–Burgers Equations
| Autor: | Jiahong Wu, Netra Khanal, Bing-Yu Zhang, Juan-Ming Yuan |
|---|---|
| Rok vydání: | 2010 |
| Předmět: |
Series (mathematics)
Applied Mathematics Mathematics::Analysis of PDEs General Engineering Complex valued Burgers' equation Mathematics - Analysis of PDEs Nonlinear Sciences::Exactly Solvable and Integrable Systems Modeling and Simulation Convergence (routing) FOS: Mathematics Applied mathematics Korteweg–de Vries equation 35Q53 35B35 35B65 76D03 Analysis of PDEs (math.AP) Mathematics |
| Zdroj: | Journal of Nonlinear Science. 20:341-360 |
| ISSN: | 1432-1467 0938-8974 |
| DOI: | 10.1007/s00332-010-9062-1 |
| Popis: | Spatially periodic complex-valued solutions of the Burgers and KdV-Burgers equations are studied in this paper. It is shown that for any sufficiently large time T, there exists an explicit initial data such that its corresponding solution of the Burgers equation blows up at T. In addition, the global convergence and regularity of series solutions is established for initial data satisfying mild conditions. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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