Overview
This work will serve as an excellent first course in modern analysis. Key topics in nonlinear pde's as well as several fundamental tools and methods are presented; few prerequisites are required of the reader. Challenging exercises, examples, and illustrations help explain the rigorous analytic basis for the Navier-Stokes equations, mean curvature flow equations, and other important equations describing real phenomena. The main focus of the text is on showing how self-similar solutions are useful in studying the behavior of solutions of nonlinear partial differential equations, especially those of parabolic type. The exposition moves systematically from the basic to more sophisticated concepts, and in the final chapters recent developments and several open problems are presented. An extensive index is provided.Written for graduate students and researachers by one of Japan's leading analysts, this will be an excellent resource for self-study or classroom use.
Full Product Details
Author: Mi-Ho Giga ,
Yoshikazu Giga ,
Jürgen Saal
Publisher: Birkhauser Boston
Imprint: Birkhauser Boston
Volume: 79
Dimensions:
Width: 15.50cm
, Height: 1.90cm
, Length: 23.50cm
Weight: 1.360kg
ISBN: 9780817641733
ISBN 10: 0817641734
Pages: 294
Publication Date: 17 June 2010
Audience:
College/higher education
,
Professional and scholarly
,
Undergraduate
,
Postgraduate, Research & Scholarly
Format: Hardback
Publisher's Status: Active
Availability: Awaiting stock
The supplier is currently out of stock of this item. It will be ordered for you and placed on backorder. Once it does come back in stock, we will ship it out for you.
Reviews
From the reviews: This book studies the asymptotic behavior of solutions to some nonlinear evolution problems by using rescaling ... methods with self-similar solutions ... . not only are there exercises but also answers to these exercises. In any case this book is a very welcome and useful addition to the literature. (Jesus Hernandez, Mathematical Reviews, Issue 2011 f)
"From the reviews: ""This book studies the asymptotic behavior of solutions to some nonlinear evolution problems by using rescaling ... methods with self-similar solutions ... . not only are there exercises but also answers to these exercises. In any case this book is a very welcome and useful addition to the literature."" (Jesus Hernandez, Mathematical Reviews, Issue 2011 f)"
From the reviews: This book studies the asymptotic behavior of solutions to some nonlinear evolution problems by using rescaling ! methods with self-similar solutions ! . not only are there exercises but also answers to these exercises. In any case this book is a very welcome and useful addition to the literature. (Jesus Hernandez, Mathematical Reviews, Issue 2011 f)
From the reviews: ""This book studies the asymptotic behavior of solutions to some nonlinear evolution problems by using rescaling ... methods with self-similar solutions ... . not only are there exercises but also answers to these exercises. In any case this book is a very welcome and useful addition to the literature."" (Jesus Hernandez, Mathematical Reviews, Issue 2011 f)
