Journal of Differential Equations, 2016-07, Vol.261 (2), p.1115-1127
2016
Details
- Autor(en) / Beteiligte
- Titel
- Blow-up of solutions for the dissipative Dullin–Gottwald–Holm equation with arbitrary coefficients
- Ist Teil von
- Journal of Differential Equations, 2016-07, Vol.261 (2), p.1115-1127
- Ort / Verlag
- Elsevier Inc
- Erscheinungsjahr
- 2016
- Link zum Volltext
- Quelle
- EZB Electronic Journals Library
- Beschreibungen/Notizen
- We study the Cauchy problem for the weakly dissipative Dullin–Gottwald–Holm equation describing unidirectional propagation of surface waves in a shallow water regime:ut−α2uxxt+c0ux+3uux+γuxxx+λ(u−α2uxx)=α2(2uxuxx+uuxxx). In the present paper we demonstrate the simple conditions on the initial data that lead to blow-up of the solution in finite time.
- Sprache
- Englisch
- Identifikatoren
- ISSN: 0022-0396eISSN: 1090-2732DOI: 10.1016/j.jde.2016.03.034Titel-ID: cdi_crossref_primary_10_1016_j_jde_2016_03_034
- Format
- –
- Schlagworte
- Blow-up, Weakly dissipative Dullin–Gottwald–Holm equation