Large time asymptotics for the BBm-burgers equation
In: Annales Henri Poincaré, Jg. 8 (2007), Heft 3, S. 485-511
Online
academicJournal
- print, 18 ref
Zugriff:
We study large time asymptotics of solutions to the BBM-Burgers equation at (u - uxx) + βux - μuxx + uux = 0. We are interested in the large time asymptotics for the case, when the initial data have an arbitrary size. Let the initial data u0 ∈ H1 (R) ∩ W11 (R), and θ = fR u0 (x)dx # 0. Then we prove that there exists a unique solution u (t, x) ∈ C ([0, oo); H1 (R) n Wi (R)) to the Cauchy problem for the BBM-Burgers equation. We also find the large time asymptotics for the solutions.
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Large time asymptotics for the BBm-burgers equation
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Autor/in / Beteiligte Person: | HAYASHI, Nakao ; KAIKINA, Elena I ; NAUMKIN, Pavel I |
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Zeitschrift: | Annales Henri Poincaré, Jg. 8 (2007), Heft 3, S. 485-511 |
Veröffentlichung: | Heidelberg: Springer, 2007 |
Medientyp: | academicJournal |
Umfang: | print, 18 ref |
ISSN: | 1424-0637 (print) |
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