...
首页> 外文期刊>Applications of Mathematics >LONG-TIME BEHAVIOR OF SMALL SOLUTIONS TO QUASILINEAR DISSIPATIVE HYPERBOLIC EQUATIONS
【24h】

LONG-TIME BEHAVIOR OF SMALL SOLUTIONS TO QUASILINEAR DISSIPATIVE HYPERBOLIC EQUATIONS

机译:拟线性耗散双曲型方程的小解的长时间行为

获取原文
获取原文并翻译 | 示例
           

摘要

We give sufficient conditions for the existence of global small solutions to the quasilinear dissipative hyperbolic equation utt + 2wt - aij(ut,▽u)aiaju =f corresponding to initial values and source terms of sufficiently small size, as well as of small solutions to the corresponding stationary version, i.e. the quasilinear elliptic equation -aij(0,▽u)—aiajv= h. We then give conditions for the convergence, as t —+ oo, of the solution of the evolution equation to its stationary state.
机译:我们为拟线性耗散双曲方程utt + 2wt-aij(ut,▽u)aiaju = f的全局小解的存在提供了充分的条件,这些小解对应于足够小的初始值和源项以及相应的固定形式,即拟线性椭圆方程-aij(0,▽u)-aiajv = h。然后,我们给出了将演化方程的解收敛到其稳态的条件,即t-+ oo。

著录项

相似文献

  • 外文文献
  • 中文文献
  • 专利
获取原文

客服邮箱:kefu@zhangqiaokeyan.com

京公网安备:11010802029741号 ICP备案号:京ICP备15016152号-6 六维联合信息科技 (北京) 有限公司©版权所有
  • 客服微信

  • 服务号