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Catalogue Information
Field name	Details
Dewey Class	515.353
Title	Nonlinear PDEs : a dynamical systems approach (M) / Guido Schneider, Hannes Uecker
Author	Schneider, Guido, , 1964-
Added Personal Name	Uecker, Hannes, , 1970-
Publication	Providence, Rhode Island : American Mathematical Society , 2017
Physical Details	xiii, 575 pages : ill. ; 26 cm.
Series	Graduate studies in mathematics ; 182
ISBN	9781470436131
Summary Note	This is an introductory textbook about nonlinear dynamics of PDEs, with a focus on problems over unbounded domains and modulation equations. The presentation is example-oriented, and new mathematical tools are developed step by step, giving insight into some important classes of nonlinear PDEs and nonlinear dynamics phenomena which may occur in PDEs.The book consists of four parts. Parts I and II are introductions to finite- and infinite-dimensional dynamics defined by ODEs and by PDEs over bounded domains, respectively, including the basics of bifurcation and attractor theory. Part III introduces PDEs on the real line, including the Korteweg-de Vries equation, the Nonlinear Schrodinger equation and the Ginzburg-Landau equation. These examples often occur as simplest possible models, namely as amplitude or modulation equations, for some real world phenomena such as nonlinear waves and pattern formation. Part IV explores in more detail the connections between such complicated physical systems and the reduced models. For many models, a mathematically rigorous justification by approximation results is given. The parts of the book are kept as self-contained as possible. The book is suitable for self-study, and there are various possibilities to build one- or two-semester courses from the book.:
Links to Related Works	Subject References: Differential equations, Nonlinear . Differential equations, Partial . Authors: Schneider, Guido, 1964- . Uecker, Hannes, 1970- . Series: Graduate studies in mathematics . Classification: 515.353 .

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Barcode	Shelf Location	Collection	Volume Ref.	Branch	Status	Due Date
0000000044443	517.95 SCH	General		SISSA .	. Available .

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