Galerkin and inertial manifold methods for finite-dimensional approximation of nonlocal equations of nonlinear optics
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Publication:1128421
DOI10.1007/BF02404053zbMath0901.65074MaRDI QIDQ1128421
Publication date: 25 August 1998
Published in: Computational Mathematics and Modeling (Search for Journal in Brave)
convergencefeedbackdiffusion equationSchrödinger equationnonlinear optical systemsinertial manifoldGalerkin schemeglobal attraction property
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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