Singular perturbation hyperbolic-parabolic for degenerate nonlinear equations of Kirchhoff type

DOI10.1016/S0362-546X(99)00273-4zbMath0984.35014OpenAlexW2075042498WikidataQ127395091 ScholiaQ127395091MaRDI QIDQ5936421

Massimo Gobbino

Publication date: 5 May 2002

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/s0362-546x(99)00273-4

zbMATH Keywords

damped hyperbolic equationKirchhoff equationsparabolic limit equation

Mathematics Subject Classification ID

Singular perturbations in context of PDEs (35B25)

Related Items (10)

Hyperbolic-parabolic singular perturbation for quasilinear equations of Kirchhoff type ⋮ Hyperbolic-parabolic singular perturbation for quasilinear equations of Kirchhoff type with weak dissipation ⋮ Hyperbolic-parabolic singular perturbation for nondegenerate Kirchhoff equations with critical weak dissipation ⋮ Hyperbolic-parabolic singular perturbation for mildly degenerate Kirchhoff equations: decay-error estimates ⋮ Convergence estimates for abstract second order differential equations with two small parameters and monotone nonlinearities ⋮ Hyperbolic-parabolic singular perturbation for mildly degenerate Kirchhoff equations: Time-decay estimates ⋮ Global-in-time uniform convergence for linear hyperbolic-parabolic singular perturbations ⋮ Convergence estimates for some abstract linear second order differential equations with two small parameters ⋮ Mildly degenerate Kirchhoff equations with weak dissipation: global existence and time decay ⋮ Singular limits in the Cauchy problem for the damped extensible beam equation

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