Perturbation Methods - MEN 673
Solution of nonlinear problems in solid and fluid mechanics and dynamics by use of asymptotic perturbation techniques. Asymptotic expansions. Regular and singular perturbations and applications in dynamics, potential, viscous and compressible flows. Uniformly valid approximations in various physical problems. Generalized boundary- layer techniques. Coordinate straining techniques. Matched asymptotic expansions and multiple scales. Problems with several time or length scales. Prerequisite: MEN 600.