Blowup of solutions for the bad Boussinesq-type equation
In: Journal of mathematical analysis and applications, Jg. 285 (2003), Heft 1, S. 282-298
Online
academicJournal
- print, 17 ref
The paper studies the blowup of solutions to the initial boundary value problem for the bad Boussinesq-type equation utt - uxx -buxxxx = σ(u)xx, where b > 0 is a real number and a (s) is a given nonlinear function. By virtue of the energy method and the Fourier transform method, respectively, it proves that under certain assumptions on σ(s) and initial data, the generalized solutions of the above-mentioned problem blow up in finite time. And a few examples are shown, especially for the bad Boussinesq equation, two examples of blowup of solutions are obtained numerically.
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Blowup of solutions for the bad 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. 285 (2003), Heft 1, S. 282-298 |
Veröffentlichung: | San Diego, CA: Elsevier, 2003 |
Medientyp: | academicJournal |
Umfang: | print, 17 ref |
ISSN: | 0022-247X (print) |
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