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Galerkin and inertial manifold methods for finite-dimensional approximation of nonlocal equations of nonlinear optics

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Publication:1128421
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DOI10.1007/BF02404053zbMath0901.65074MaRDI QIDQ1128421

A. V. Razgulin

Publication date: 25 August 1998

Published in: Computational Mathematics and Modeling (Search for Journal in Brave)


zbMATH Keywords

convergencefeedbackdiffusion equationSchrödinger equationnonlinear optical systemsinertial manifoldGalerkin schemeglobal attraction property


Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Applications to the sciences (65Z05) Physical optics (78A10)




Cites Work

  • Inertial manifolds for nonlinear evolutionary equations
  • Self-excited oscillations in the nonlinear parabolic problem with transformed argument
  • Solvability in the small of nonstationary problems for incompressible ideal and viscous fluids and the case of vanishing viscosity
  • Approximation theories for inertial manifolds
  • Twistor spaces and harmonic maps
  • Nonlinear Galerkin Methods


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