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Nonlinear Partial Differential Equations
Giga, Mi-Ho, Giga, Yoshikazu, Saal, Jürgen, Birkhauser
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Description for Nonlinear Partial Differential Equations
Hardcover. This work serves as an excellent first course in modern analysis. The main focus 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. Series: Progress in Nonlinear Differential Equations and Their Applications. Num Pages: 294 pages, 7 black & white illustrations, biography. BIC Classification: PBKJ. Category: (P) Professional & Vocational; (UP) Postgraduate, Research & Scholarly; (UU) Undergraduate. Dimension: 166 x 242 x 26. Weight in Grams: 634.
The purpose of this book is to present typical methods (including rescaling methods) for the examination of the behavior of solutions of nonlinear partial di?erential equations of di?usion type. For instance, we examine such eq- tions by analyzing special so-called self-similar solutions. We are in particular interested in equations describing various phenomena such as the Navier– Stokesequations.Therescalingmethod describedherecanalsobeinterpreted as a renormalization group method, which represents a strong tool in the asymptotic analysis of solutions of nonlinear partial di?erential equations. Although such asymptotic analysis is used formally in various disciplines, not seldom there is a lack of a rigorous mathematical treatment. ... Read more
The purpose of this book is to present typical methods (including rescaling methods) for the examination of the behavior of solutions of nonlinear partial di?erential equations of di?usion type. For instance, we examine such eq- tions by analyzing special so-called self-similar solutions. We are in particular interested in equations describing various phenomena such as the Navier– Stokesequations.Therescalingmethod describedherecanalsobeinterpreted as a renormalization group method, which represents a strong tool in the asymptotic analysis of solutions of nonlinear partial di?erential equations. Although such asymptotic analysis is used formally in various disciplines, not seldom there is a lack of a rigorous mathematical treatment. ... Read more
Product Details
Format
Hardback
Publication date
2004
Publisher
Birkhäuser
Condition
New
Series
Progress in Nonlinear Differential Equations and Their Applications
Number of Pages
294
Place of Publication
Secaucus, United States
ISBN
9780817641733
SKU
V9780817641733
Shipping Time
Usually ships in 15 to 20 working days
Ref
99-15
Reviews for Nonlinear Partial Differential Equations
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.” (Jesús Hernández, Mathematical Reviews, Issue 2011 f) ... Read more