非线性应变波耦合组的指数吸引子

The Exponential Attractor for the Nonlinear Strain Wave Coupling Equation System

研究了一类应变波耦合组所生成的半群的性质 ,通过算子分解和构造渐近紧不变集 ,得到了该系统紧的指数吸引子 .

In this paper, the properties of the semigroup of the nonlinear strain wave coupling equation system are investigated. By decomposing operator and constructing asymptotic compact invariant set, the existence of the exponential attractor for this system is proved.