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Inertial manifolds for weakly and strongly dissipative hyperbolic equations

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Publication:460515
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DOI10.1007/s10958-014-1715-4zbMath1307.35062OpenAlexW2050807319MaRDI QIDQ460515

N. A. Chalkina, Andrey Yu. Goritsky

Publication date: 13 October 2014

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-014-1715-4


Mathematics Subject Classification ID

Abstract hyperbolic equations (35L90) Inertial manifolds (35B42) Initial-boundary value problems for higher-order hyperbolic equations (35L35) Higher-order quasilinear hyperbolic equations (35L77)


Related Items

Sufficient condition for the existence of an inertial manifold for a hyperbolic equation with weak and strong dissipation, Inertial manifolds for the hyperbolic relaxation of semilinear parabolic equations



Cites Work

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  • Integral manifolds and attractors with exponential rate for nonautonomous hyperbolic equations with dissipation
  • Infinite-dimensional dynamical systems in mechanics and physics
  • Integral manifolds and inertial manifolds for dissipative partial differential equations
  • Global integral manifolds with exponential tracking for nonautonomous equations
  • On the strongly damped wave equation
  • Inertial manifold for a hyperbolic equation with dissipation
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