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Publication date: 7 April 2002

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stability Lyapunov function invariant set nonlinear oscillations semilinear parabolic equation attractor inertial manifold nonlinear diffusion fluid dissipative dynamical system reduction principle model of turbulence supersonic gas

Mathematics Subject Classification ID

Plates (74K20) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to dynamical systems and ergodic theory (37-01) Partial differential equations of mathematical physics and other areas of application (35Q99) Dynamical problems in solid mechanics (74H99) Statistical mechanics of gases (82D05) Kinetic theory of gases in equilibrium statistical mechanics (82B40) Dynamical systems methods for problems in mechanics (70G60) Infinite-dimensional dissipative dynamical systems (37Lxx)

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