Title of article :
Blowup of solutions for improved Boussinesq type equation ✩
Author/Authors :
Zhijian Yang ? and Xia Wang، نويسنده ,
Issue Information :
دوهفته نامه با شماره پیاپی سال 2003
Pages :
19
From page :
335
To page :
353
Abstract :
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 ut t −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 abovementioned problem admits a unique generalized solution u ∈ W2,∞([0,T ];H2(0, 1)) as long as σ ∈ C2(R). In particular, when σ(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.  2003 Elsevier Science (USA). All rights reserved.
Keywords :
Improved Boussinesq equation , Blowup of solutions , initial boundary value problem , Local solution
Journal title :
Journal of Mathematical Analysis and Applications
Serial Year :
2003
Journal title :
Journal of Mathematical Analysis and Applications
Record number :
930421
Link To Document :
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