Hyperbolic-parabolic singular perturbation for Kirchhoff equations with weak dissipation

zbMath1228.35020arXiv0912.3694MaRDI QIDQ3013272

Massimo Gobbino, Marina Ghisi

Publication date: 18 July 2011

Full work available at URL: https://arxiv.org/abs/0912.3694

zbMATH Keywords

existenceuniquenessCauchy problem

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Nonlinear parabolic equations (35K55) Abstract parabolic equations (35K90) Singular perturbations in context of PDEs (35B25) Second-order nonlinear hyperbolic equations (35L70) Abstract hyperbolic equations (35L90)

Related Items (5)

Long-time dynamics of Kirchhoff equations with exponential nonlinearities ⋮ Hyperbolic-parabolic singular perturbation for mildly degenerate Kirchhoff equations: decay-error estimates ⋮ Kirchhoff equations with strong damping ⋮ An attractor for the singularly perturbed Kirchhoff equation with supercritical nonlinearity ⋮ On the Parabolic Regime of a Hyperbolic Equation with Weak Dissipation: The Coercive Case

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