Introduction to the Theory of Infinite-Dimensional Dissipative Systems
by Constantin I. Chueshov
Publisher: ACTA 2002
ISBN/ASIN: 9667021645
Number of pages: 419
Description:
This book is an exhaustive introduction to the main ideas of infinite-dimensional dissipative dynamical systems. The author outlines a variety of interlaced tools applied in the study of nonlinear dynamical phenomena in distributed systems. The results presented have direct applications to many developing areas of physics, mechanical engineering and biology.
Download or read it online for free here:
Download link
(2.5MB, PDF)
Similar books
Computable Integrabilityby Alexey Shabat, Elena Kartashova - arXiv
A preliminary version of the textbook on integrable systems. Contents: General notions and ideas; Riccati equation; Factorization of linear operators; Commutativity of linear operators; Integrability of non-linear PDEs; Burgers-type equations.
(11551 views)
Monotone Dynamical Systemsby M.W. Hirsch, Hal Smith
From the table of contents: Introduction; Strongly Order-Preserving Semiflows; Generic Convergence and Stability; Ordinary Differential Equations; Delay Differential Equations; Monotone Maps; Semilinear Parabolic Equations.
(13711 views)
Local Theory of Holomorphic Foliations and Vector Fieldsby Julio C. Rebelo, Helena Reis - arXiv
Informal lecture notes intended for graduate students about the standard local theory of holomorphic foliations and vector fields. Though the material presented here is well-known some of the proofs differ slightly from the classical arguments.
(11326 views)
Variational Modelling: Energies, gradient flows, and large deviationsby Mark A. Peletier - arXiv
The notes describe the methodology called Variational Modelling, and focus on the application to the modelling of gradient-flow systems. I describe the methodology itself in great detail, and explain why this is a rational modelling route.
(10642 views)