| Author(s): |
Chertovskih, R.
[1, 2]
;
Chian, A. C. -L.
[3, 4, 5, 6]
;
Podvigina, O.
[1]
;
Rempel, E. L.
[4, 5, 6]
;
Zheligovsky, V.
[1]
Total Authors: 5
|
| Affiliation: | [1] Russian Acad Sci, Inst Earthquake Predict Theory & Math Geophys, Moscow 117997 - Russia
[2] Univ Porto, Fac Engn, Ctr Wind Energy & Atmospher Flows, P-4200465 Oporto - Portugal
[3] Univ Adelaide, Sch Math Sci, Adelaide, SA 5005 - Australia
[4] Inst Aeronaut Technol IEFM ITA, BR-12228900 Sao Paulo - Brazil
[5] WISER, BR-12228900 Sao Paulo - Brazil
[6] Natl Inst Space Res INPE, BR-12227010 Sao Paulo - Brazil
Total Affiliations: 6
|
| Document type: | Journal article |
| Source: | Advances in Differential Equations; v. 19, n. 7-8, p. 725-754, JUL-AUG 2014. |
| Web of Science Citations: | 1 |
| Abstract | |
We consider space-periodic evolutionary and travelling-wave solutions to the regularized long-wave equation (RLWE) with damping and forcing. We establish existence, uniqueness and smoothness of the evolutionary solutions for smooth initial conditions, and global in time spatial analyticity of such solutions for analytical initial conditions. The width of the analyticity strip decays at most polynomially. We prove existence of travelling-wave solutions and uniqueness of travelling waves of a sufficiently small norm. The importance of damping is demonstrated by showing that the problem of finding travelling-wave solutions to die undamped RLWE is not well-posed. Finally, we demonstrate the asymptotic convergence of the power series expansion of travelling waves for a weak forcing. (AU) | |
| FAPESP's process: | 13/22314-7 - Magnetic fields and dynamos in space and astrophysical plasmas II |
| Grantee: | Erico Luiz Rempel |
| Support Opportunities: | Regular Research Grants |