Hyperbolic-parabolic singular perturbations for scalar nonlinearities

DOI10.1080/00036818808839771zbMath0628.35013OpenAlexW2067921029WikidataQ58252001 ScholiaQ58252001MaRDI QIDQ3764529

R. J. Weihnacht, Benjamin F. jun. Esham

Publication date: 1988

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036818808839771

zbMATH Keywords

singular perturbationnonlinear wave equationhyperbolic-parabolicinitial layerextensible nonlinear string

Mathematics Subject Classification ID

Singular perturbations in context of PDEs (35B25) Second-order nonlinear hyperbolic equations (35L70) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Theoretical approximation in context of PDEs (35A35)

Related Items (13)

Hyperbolic-parabolic singular perturbation for quasilinear equations of Kirchhoff type ⋮ Hyperbolic-parabolic singular perturbation for quasilinear equations of Kirchhoff type with weak dissipation ⋮ Singular perturbation of a nonlinear time-dependent problem in hilbert space ⋮ A singularly perturbed second order evolution equation with nonlocal nonlinearity ⋮ Singular perturbation results for linear partial differential-algebraic equations of hyperbolic type ⋮ Hyperbolic-parabolic singular perturbation for nondegenerate Kirchhoff equations with critical weak dissipation ⋮ Hyperbolic-parabolic singular perturbation for mildly degenerate Kirchhoff equations: decay-error estimates ⋮ Galerkin methods for a singularly perturbed hyperbolic problem with nonlocal nonlinearity ⋮ Singular perturbation hyperbolic-parabolic for degenerate nonlinear equations of Kirchhoff type ⋮ Global-in-time uniform convergence for linear hyperbolic-parabolic singular perturbations ⋮ Mildly degenerate Kirchhoff equations with weak dissipation: global existence and time decay ⋮ Singularly perturbed problems in partial differential equations: A survey ⋮ Quasilinear hyperbolic–hyperbolic singular perturbations with nonmonotone nonlinearity

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