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尚亚东. 一类具非线性强耗散项的发展方程初边值问题解的Blow up[J]. 信阳师范学院学报(自然科学版), 2002, 15(2): 136-140.
引用本文: 尚亚东. 一类具非线性强耗散项的发展方程初边值问题解的Blow up[J]. 信阳师范学院学报(自然科学版), 2002, 15(2): 136-140.
shu
SHANG Ya dong. Blow up of solutions of initial boundary problem for a class of evolution equations with nonlinear s[J]. Journal of Xinyang Normal University (Natural Science Edition), 2002, 15(2): 136-140.
Citation: SHANG Ya dong. Blow up of solutions of initial boundary problem for a class of evolution equations with nonlinear s[J]. Journal of Xinyang Normal University (Natural Science Edition), 2002, 15(2): 136-140.
shu

一类具非线性强耗散项的发展方程初边值问题解的Blow up

Blow up of solutions of initial boundary problem for a class of evolution equations with nonlinear s

    摘要
  • 摘要: 研究了具非线性强耗散项的发展方程 utt- δuxx- β(ux t) x=f(u)的初边值问题解的整体非存在性和 blow up,得到了问题的解在有限时间内 blow up的一些充分条件 ,并且给出一些具体实例

     

    Abstract: The global nonexistence and blow up of solutions of initial boundary value problems for a class of evolution equations with nonlinear strong dissipation term are studied.With the aid of eigenfunction method and the Jensen's inequality,the solutions of these problems blow up in finite time are proved under certain conditions.

     

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