## Singular perturbations and asymptotics: proceedings of an advanced seminar |

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### Contents

Wiktor Eckhaus 1 Mathematisch Instituut Rijksuniversiteit Utrecht 3508 | 17 |

Limit Process Expansions and Approximate Equations | 19 |

Some Old and New Results on Singularly Perturbed | 41 |

Copyright | |

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### Common terms and phrases

adiabatic invariant Airy functions algebraic analytic App1 Appl apply assume asymptotic expansions asymptotic series asymptotic solutions boundary conditions boundary layer boundary value problem bounded coefficients connection formulae connection problem consider constructed convergence corresponding defined denote derive determine diffusion domain eigenvalue equa estimates example exists exit exponentially flow function given Hence infinity initial conditions integral irregular singular lattice layer behavior Lemma limit matching Math Matkowsky matrix Mech method of characteristics method of multiple method of renormalization multiple scales Nayfeh neighborhood nonlinear nonlinear acoustic obtain ordinary differential equations Orr-Sommerfeld equation oscillations outer expansion p-adic particle polynomial potential power series principal curves principal region reduced equation reduced problem renormalization result satisfies second order Section sector SIAM Sibuya singular perturbation singular point Singularly strained coordinates sustained resonance Theorem theory tion transformation turning point uniformly valid unique variable velocity Wasow waves zero