Asymptotic Behaviour of Soluti by M.I. Vishik (English) Hardcover Book

Description: Asymptotic Behaviour of Soluti by M.I. Vishik The theme of this book is the investigation of globally asymptotic solutions of evolutionary equations, which are useful in the study of dynamical systems. The author begins with a construction of local asymptotics near the equilibrium points of Navier-Stokes equations, reaction-diffusion equations, and hyperbolic equations, which leads to a construction of global spectral asymptotics of solution of evolutionary equations, which are analogous to Fourier asymptotics in the linear case. He then deals with the global approximation of solutions of perturbed reaction diffusion equations, hyperbolic equations with dissipation, and parabolic systems. Finally, Dr. Vishik constructs the first asymptotic approximations of solution of singularly perturbed evolutionary equations. FORMAT Hardcover LANGUAGE English CONDITION Brand New Publisher Description The theme of this book is the investigation of globally asymptotic solutions of evolutionary equations. Locally asymptotic solutions of the Navier-Stokes equations and reaction-diffusion equations are the starting point, and by considering perturbed evolutionary equations, global approximations are constructed. The lectures upon which this book is based were warmly received at the universities of Rome and Pavia, and at the Scuola Normale Superiore in Pisa. Here Professor Vishik has collated his lecture notes, and has added an appendix describing his recent work on attractors deriving from dynamical systems. This is unquestionably a fine addition to the Lezioni Lincee, and will be a necessary addition to the library of all who seek an insight into the solution of evolutionary equations. Table of Contents 1. Preliminaries; 2. Local spectral asymptotics; 3. Global spectral asymptotics; 4. Uniform approximation of trajectories of solutions of semigroups depending on a parameter; 5. The asymptotics of solutions of reaction diffusion equations with small parameter; 6. Asymptotics of elements lying on the attractor of solutions of the perturbed evolutionary equations; 7. Asymptotics of solutions of singular perturbed evolutionary equations; Appendix. Review "...makes a valuable contribution to the rich existing literature on the asymptotic behavior of solutions of nonlinear evolution equations." Piotr Biler, Mathematical Reviews Review Quote "...makes a valuable contribution to the rich existing literature on the asymptotic behavior of solutions of nonlinear evolution equations." Piotr Biler, Mathematical Reviews Promotional "Headline" A short but sweet summary of globally asymptotic solutions of evolutionary equations. Description for Bookstore The theme of this book is the investigation of globally asymptotic solutions of evolutionary equations. The lectures on which it is based were warmly received at the universities of Rome and Pavia, and at the Scuola Normale Superiore in Pisa. Here Professor Vishik has collated his lecture notes. Description for Library The theme of this book is the investigation of globally asymptotic solutions of evolutionary equations. The lectures on which it is based were warmly received at the universities of Rome and Pavia, and at the Scuola Normale Superiore in Pisa. Here Professor Vishik has collated his lecture notes. Details ISBN0521420237 Author M.I. Vishik Short Title ASYMPTOTIC BEHAVIOUR OF SOLUTI Pages 168 Publisher Cambridge University Press Series Lezioni Lincee Language English ISBN-10 0521420237 ISBN-13 9780521420235 Media Book Format Hardcover DEWEY 515.353 Year 1993 Publication Date 1993-01-31 Imprint Cambridge University Press Place of Publication Cambridge Country of Publication United Kingdom Illustrations Appendix Affiliation Moscow State University DOI 10.1604/9780521420235 Audience Professional and Scholarly UK Release Date 1993-01-28 AU Release Date 1993-01-28 NZ Release Date 1993-01-28 We've got this At The Nile, if you're looking for it, we've got it. With fast shipping, low prices, friendly service and well over a million items - you're bound to find what you want, at a price you'll love! TheNile_Item_ID:91365712;

Price: 265.65 AUD

Location: Melbourne

End Time: 2025-02-07T03:03:06.000Z

Shipping Cost: 9.52 AUD