Nonlinear Eigenvalue Problems under Strong Localized Perturbations with Applications to Chemical Reactors

DOI10.1002/sapm19918511zbMath0728.65087OpenAlexW2460205076MaRDI QIDQ3352414

Joseph B. Keller, Michael J. Ward

Publication date: 1991

Published in: Studies in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/sapm19918511

zbMATH Keywords

nonlinear eigenvalue problemmethod of matched asymptotic expansionschemical reactorstrong localized perturbation

Mathematics Subject Classification ID

Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs (35P30) Chemical kinetics in thermodynamics and heat transfer (80A30) Numerical methods for eigenvalue problems for boundary value problems involving PDEs (65N25)

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Domain perturbation for elliptic equations subject to Robin boundary conditions ⋮ A quasi-linear heat transmission problem in a periodic two-phase dilute composite. A functional analytic approach ⋮ A singularly perturbed nonlinear traction boundary value problem for linearized elastostatics. A functional analytic approach ⋮ Asymptotic behavior of the solutions of a nonlinear Robin problem for the Laplace operator in a domain with a small hole: a functional analytic approach ⋮ Steady-state voltage distribution in three-dimensional cusp-shaped funnels modeled by PNP

Cites Work

• Boundary layer solutions for some nonlinear elastic membrane problems
• THE THERMAL STABILITY OF A PARTIALLY INSULATED REACTIVE SLAB
• Some problems in the theory of quasilinear equations

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