Langbeschreibung
This two-volume work presents state-of-the-art mathematical theories and results on infinite-dimensional dynamical systems. Inertial manifolds, approximate inertial manifolds, discrete attractors and the dynamics of small dissipation are discussed in detail. The unique combination of mathematical rigor and physical background makes this work an essential reference for researchers and graduate students in applied mathematics and physics.
Inhaltsverzeichnis
Table of contentsChapter 1 The Attractor and Its Estimation of DimensionChapter 2 Inertial ManifoldChapter 3 The Approximate Inertial ManifoldChapter 4 Discrete Attractor and Approximate CalculationChapter 5 Some Properties of Global AttractorChapter 6 The dynamics with small dissipationChapter 7 Existence and Stability of Solitary WavesChapter 8 Numerical computation method for some nonlinear evolution equationsReferences