Blowup of solutions for improved Boussinesq type equation
In: Journal of mathematical analysis and applications, Jg. 278 (2003), Heft 2, S. 335-353
Online
academicJournal
- print, 14 ref
The paper studies the existence and uniqueness of local solutions and the blowup of solutions to the initial boundary value problem for improved Boussinesq type equation utt - Uxx - uxxtt =σ (u)xx. By a Galerkin approximation scheme combined with the continuation of solutions step by step and the Fourier transform method, it proves that under rather mild conditions on initial data, the above-mentioned problem admits a unique generalized solution u ε W2,∞([0, T]; H2(0,1)) as long as σ E C2(R). In particular, when a(s) = asp, where a ¬= 0 is a real number and p > 1 is an integer, specially a < 0 if p is an odd number, the solution blows up in finite time. Moreover, two examples of blowup are obtained numerically.
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Blowup of solutions for improved Boussinesq type equation
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Autor/in / Beteiligte Person: | ZHIJIAN, YANG ; XIA, WANG |
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Zeitschrift: | Journal of mathematical analysis and applications, Jg. 278 (2003), Heft 2, S. 335-353 |
Veröffentlichung: | San Diego, CA: Elsevier, 2003 |
Medientyp: | academicJournal |
Umfang: | print, 14 ref |
ISSN: | 0022-247X (print) |
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