A geometric analysis of the Lagerstrom model problem

DOI10.1016/j.jde.2003.08.004zbMath1059.34033OpenAlexW2073156822MaRDI QIDQ1880757

Peter Szmolyan, Nikola Popović

Publication date: 1 October 2004

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2003.08.004

zbMATH Keywords

singular perturbationinvariant manifoldexistence and uniqueness of solutionsblow-up method

Mathematics Subject Classification ID

Singular perturbations of ordinary differential equations (34D15) 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 (10)

Asymptotics of some nonlinear eigenvalue problems modelling a MEMS Capacitor. Part II: multiple solutions and singular asymptotics ⋮ Rigorous asymptotic expansions for Lagerstrom's model equation -- a geometric approach ⋮ Geometric desingularization of degenerate singularities in the presence of fast rotation: A new proof of known results for slow passage through Hopf bifurcations ⋮ The asymptotic critical wave speed in a family of scalar reaction-diffusion equations ⋮ A general view on double limits in differential equations ⋮ Hotspot formation and dynamics for a continuum model of urban crime ⋮ Singular Perturbation Analysis of a Regularized MEMS Model ⋮ Regularized model of post-touchdown configurations in electrostatic MEMS: bistability analysis ⋮ Geometric singular perturbation theory in biological practice ⋮ Wave speeds for the FKPP equation with enhancements of the reaction function

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