一类非线性粘弹性杆的初边值问题

Initial Boundary Problem for the Nonlinear Visous Elastic Rods

本文在前人研究的基础上,考虑在材料具有粘性效应的情况下,建立了一类非线性粘弹性细杆方程,并运用Galerkin方法证明了在非线性项和初值比较光滑的条件下问题强解的存在和唯一性.

Based on the study of prevenient scientist, the paper establishes a class of nonlinear viscous-elastic rods when the material has the viscous effect. The existence and uniqueness of the global strong solutions of the problem under rather mild conditions on nonlinear terms and initial data are proved by the Galerkin method.