Slow Motion in Higher-Order Systems and �-Convergence in One Space Dimension

@inproceedings{Kalies1997SlowMI,
  title={Slow Motion in Higher-Order Systems and �-Convergence in One Space Dimension},
  author={William D. Kalies and Robert C. A. M. VanderVorst and Thomas Wanner},
  year={1997}
}
We present a new variational approach for proving exponentially slow motion in singularly-perturbed partial differential equations in one space dimension, which bu lds on the energy approach due to Bronsard and Kohn ( Comm. Pure Appl. Math. 43 (1990), pp. 983–997) and Grant ( SIAM J. Math. Anal.26 (1995), pp. 21–34). As well as covering the known applications, this approach is also capable of proving slow motion i n equations whose corresponding Lyapunov functionals contain higher-order… CONTINUE READING