一维非线性热粘弹方程组的周期解

Periodic Solution of One-dimensional Nonlinear Thermoviscoelasticity Equations

讨论了具有初边值问题的一维非线性热粘弹方程组解的整体存在性,构造能量函数,利用最大值原理,Gronwall不等式,Cauchy-Schwarz不等式,Young’s不等式,在参考文献[1]的基础上获得了H1空间中的整体解.

Global existence of the solutions of one？dimensional nonlinear thermoviscoelasticity equations with initial boundary value problem is discussed. Constructing the energy function and using the maximum principle,Gronwall inequality,Cauchy？Schwarz inequality and Young inequality,we obtain the global solutions in the space H1 based on the reference[1].