具Stokes阻尼项的六阶非线性波动方程整体解的存在性与解的爆破

Global Existence and Blow-up of Solution for Six-order Nonlinear Wave Equation with Stokes Damped Term

主要研究具有Stokes阻尼项的六阶非线性波动方程的Cauchy问题解的整体存在性和爆破.基于所构造的势阱,用凹度法证明了整体解的存在唯一性和解的爆破.

Consider the global existence and blow-up of the solutions for the Cauchy problem of the six-order nonlinear wave equation with Stokes damped term.The global existence and blow-up of the solutions are proved with the concavity method in the framework of potential well.