Invariant manifolds for dissipative systems

DOI10.1063/1.3105924zbMath1214.37052OpenAlexW2143535799MaRDI QIDQ3650501

Alexander G. Ramm

Publication date: 14 December 2009

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/2097/14635

zbMATH Keywords

chaosHilbert spacesnonlinear equationsnonlinear dynamical systems

Mathematics Subject Classification ID

Nonlinear differential equations in abstract spaces (34G20) Asymptotic properties of solutions to ordinary differential equations (34D05) General theory of infinite-dimensional dissipative dynamical systems, nonlinear semigroups, evolution equations (37L05) Operator partial differential equations (= PDEs on finite-dimensional spaces for abstract space valued functions) (35R20) Inertial manifolds (35B42) Inertial manifolds and other invariant attracting sets of infinite-dimensional dissipative dynamical systems (37L25)

Cites Work

• Invariant manifolds for physical and chemical kinetics
• Sufficient conditions for zero not to be an eigenvalue of the Schrödinger operator
• Method of invariant manifolds and regularization of acoustic spectra
• Theoretical and practical aspects of singularity and eigenmode expansion methods
• Conditions for zero not to be an eigenvalue of the Schrödinger operator. II
• Hydrodynamics from Grad's equations: What can we learn from exact solutions?
• Summability of series in the principal vectors of non-self adjoint operators
• Random Fields Estimation

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