Blowup of solutions for the “bad” Boussinesq-type equation |
| |
Authors: | Zhijian Yang Xia Wang |
| |
Institution: | Department of Mathematics, Zhengzhou University, Zhengzhou 450052, PR China |
| |
Abstract: | 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 σ(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. |
| |
Keywords: | Boussinesq-type equation Initial boundary value problem Blowup of solutions |
本文献已被 ScienceDirect 等数据库收录! |
|