具材料阻尼的非线性双曲型方程整体解的不存在性

基金项目: 国家自然科学基金资助项目(10371073,10572156);河南省自然科学基金资助项目(0611050500)

Nonexistence of Global Solutions of a Nonlinear Hyperbolic Equation With Material Damping

Department of Mathematics, Shanghai Jiaotong University, Shanghai, 200240, P. R. China;

摘要: 考虑了一类具材料阻尼的非线性双曲型方程初边值问题整体解的不存在性．分别采用能量方法、Jensen不等式和凹性方法证明了该问题整体解的不存在性定理．作为主要结果的应用，给出了3个例子．
- 整体解的不存在性 /
- 初边值问题 /
- 双曲型方程 /
- 材料阻尼
Abstract: Concerns with the nonexistence of global solutions to the initial boundary value problem for a nonlinear hyperbolic equation with material damping. Nonexistence theorems of global solutions to the above problem are proved by the energy method, Jensen inequality and the concavity method, respectively. As applications of our main results, three examples are given.
- nonexistence of global solution /
- initial boundary value problem /
- nonlinear hyperbolic equation /
- material damping

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