预应力非线性弹性波的非共振和整体存在性
Nonresonance and global existence of prestressed nonlinear elastic waves
摘要：
研究了各向同性超弹性材料变形演化的非线性偏微分方程双曲组。在边界的情况下，并与一个额外的非共振或零条件下，该系统的全球光滑的解决方案开始接近一个单参数家庭的齐次膨胀。证明结合能量估计与新的衰减估计的线性问题。
英文摘要：
The nonlinear hyperbolic system of pde's governing the evolution of the deformation of isotropic hyperelastic materials is considered. In the absence of boundaries and with an additional nonresonance or null condition, the system has global smooth solutions starting close to a one-parameter family of homogeneous dilations. The proof combines energy estimates with new decay estimates for the linear problem.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
