Rigorous asymptotic expansions for Lagerstrom's model equation -- a geometric approach

DOI10.1016/j.na.2004.07.032zbMath1082.34045OpenAlexW2077561224MaRDI QIDQ1887995

Peter Szmolyan, Nikola Popović

Publication date: 22 November 2004

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2004.07.032

zbMATH Keywords

singular perturbationasymptotic expansionsblow up method

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Dynamics induced by flows and semiflows (37C10) Singular perturbations of ordinary differential equations (34D15) Invariant manifold theory for dynamical systems (37D10) Singular nonlinear boundary value problems for ordinary differential equations (34B16) Singular perturbations for ordinary differential equations (34E15) Boundary value problems on infinite intervals for ordinary differential equations (34B40)

Related Items (8)

A geometric analysis of the Lagerstrom model problem ⋮ Asymptotics of some nonlinear eigenvalue problems modelling a MEMS Capacitor. Part II: multiple solutions and singular asymptotics ⋮ The asymptotic critical wave speed in a family of scalar reaction-diffusion equations ⋮ A geometric analysis of front propagation in a family of degenerate reaction-diffusion equations with cutoff ⋮ Methods for solving singular perturbation problems arising in science and engineering ⋮ Singular Perturbation Analysis of a Regularized MEMS Model ⋮ Exchange lemmas 1: Deng's Lemma ⋮ Regularized model of post-touchdown configurations in electrostatic MEMS: bistability analysis

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