Forced and semiline solutions of the Burgers equation
โ Scribed by M.J. Ablowitz; S. De Lillo
- Publisher
- Elsevier Science
- Year
- 1991
- Tongue
- English
- Weight
- 311 KB
- Volume
- 156
- Category
- Article
- ISSN
- 0375-9601
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๐ SIMILAR VOLUMES
Consider a Hamiltonian system with Hamiltonian of the form H(x, t, p) where H is convex in p and periodic in x, and t and x โ R 1 . It is well-known that its smooth invariant curves correspond to smooth Z 2 -periodic solutions of the PDE ut + H(x, t, u)x = 0 . In this paper, we establish a connecti
We investigate the solutions of the Burgers equation , where F (x, t) is an external force and ฮฆ(x, t) represents a forcing term. This equation is first analyzed in the absence of the forcing term by taking F (x, t) = k 1 (t) -k 2 (t)x into account. For this case, the solution obtained extends the