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OverviewHere, the authors present modern methods of analysis for nonlinear systems which may occur in fields such as physics, chemistry, biology, or economics. They concentrate on the following topics, specific for such systems: (a) constructive existence results and regularity theorems for all weak solutions; (b) convergence results for solutions and their approximations; (c) uniform global behavior of solutions in time; and (d) pointwise behavior of solutions for autonomous problems with possible gaps by the phase variables. The general methodology for the investigation of dissipative dynamical systems with several applications including nonlinear parabolic equations of divergent form, nonlinear stochastic equations of parabolic type, unilateral problems, nonlinear PDEs on Riemannian manifolds with or without boundary, contact problems as well as particular examples is established. As such, the book is addressed to a wide circle of mathematical, mechanical and engineering readers. Full Product DetailsAuthor: Michael Z. Zgurovsky , Pavlo O. KasyanovPublisher: Springer International Publishing AG Imprint: Springer International Publishing AG Edition: Softcover reprint of the original 1st ed. 2018 Volume: 111 Weight: 0.454kg ISBN: 9783319867151ISBN 10: 3319867156 Pages: 240 Publication Date: 02 August 2018 Audience: Professional and scholarly , Professional & Vocational Format: Paperback Publisher's Status: Active Availability: Manufactured on demand  We will order this item for you from a manufactured on demand supplier. Table of ContentsIntroduction: Special Classes of Extended Phase Spaces of Distributions.- Qualitative Methods for Classes of Nonlinear Systems: Constructive Existence Results.- Regularity of Solutions for Nonlinear Systems.- Uniform Global Attractors for Non-Autonomous Dissipative Dynamical Systems.- Uniform Trajectory Attractors for Non-autonomous Nonlinear Systems.- Indirect Lyapunov Method for Autonomous Dynamical SystemsReviewsThis book presents a collection of known and new results on evolutional nonlinear systems which appear in a variety of applications in physics, mechanics, economy, biology and chemistry. ... The book contains also a nice introduction on basic classes of problems presented with some historical comments. The entire book is clearly written, uses a modern notation and without a doubt it can be recommended to all researchers in this interesting field. (Stanislaw Migorski, zbMATH 1402.93016, 2019) “This book presents a collection of known and new results on evolutional nonlinear systems which appear in a variety of applications in physics, mechanics, economy, biology and chemistry. … The book contains also a nice introduction on basic classes of problems presented with some historical comments. The entire book is clearly written, uses a modern notation and without a doubt it can be recommended to all researchers in this interesting field.” (Stanislaw Migórski, zbMATH 1402.93016, 2019) Author InformationTab Content 6Author Website:Countries AvailableAll regions |
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