Finite reductions for dissipative systems and viscous fluid-dynamic models on \(\mathbb T^2\)

DOI10.1016/J.JMAA.2008.04.012zbMath1147.35081OpenAlexW1994069160MaRDI QIDQ930993

Franco Cardin, Claudio Tebaldi

Publication date: 24 June 2008

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2008.04.012

zbMATH Keywords

Navier-Stokes equationsdissipative systemsfinite-dimensional reduction

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Navier-Stokes equations for incompressible viscous fluids (76D05) Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) KdV equations (Korteweg-de Vries equations) (35Q53)

Related Items (5)

Inertial manifold and large deviations approach to reduced PDE dynamics ⋮ Discrete structures equivalent to nonlinear Dirichlet and wave equations ⋮ Stochastic and geometric aspects of reduced reaction-diffusion dynamics ⋮ Finite reduction and Morse index estimates for mechanical systems ⋮ Finite mechanical proxies for a class of reducible continuum systems

Cites Work

• Characteristic exponents for a viscous fluid subjected to time dependent forces
• Fixed point limit behavior of N-mode truncated Navier-Stokes equations as N increases
• Geometric theory of semilinear parabolic equations
• Infinite-dimensional dynamical systems in mechanics and physics.
• Bifurcation computations on an approximate inertial manifold for the 2D Navier-Stokes equations
• Sur le comportement global des solutions non-stationnaires des équations de Navier-Stokes en dimension 2
• The global finite structure of generic envelope loci for Hamilton–Jacobi equations
• Morse‐type index theory for flows and periodic solutions for Hamiltonian Equations
• Über die Anfangswertaufgabe für die hydrodynamischen Grundgleichungen. Erhard Schmidt zu seinem 75. Geburtstag gewidmet
• Periodic solutions of asymptotically linear Hamiltonian systems
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