Nonlinear Partial Differential Equations : Asymptotic Behavior of Solutions and Self-Similar Solutions / by Mi-Ho Giga, Yoshikazu Giga, Jürgen Saal
(Progress in Nonlinear Differential Equations and Their Applications ; 79)
| データ種別 | 電子ブック |
|---|---|
| 出版情報 | Boston : Birkhäuser Boston , 2010 |
| 本文言語 | 英語 |
| 大きさ | XVIII, 294 p. 7 illus : online resource |
書誌詳細を非表示
| 内容注記 | Asymptotic Behavior of Solutions of Partial Differential Equations Behavior Near Time Infinity of Solutions of the Heat Equation Behavior Near Time Infinity of Solutions of the Vorticity Equations Self-Similar Solutions for Various Equations Useful Analytic Tools Various Properties of Solutions of the Heat Equation Compactness Theorems Calculus Inequalities Convergence Theorems in the Theory of Integration |
|---|---|
| 一般注記 | The main focus of this textbook, in two parts, 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 with recent developments and several open problems. With challenging exercises, examples, and illustrations to help explain the rigorous analytic basis for the Navier–-Stokes equations, mean curvature flow equations, and other important equations describing real phenomena, this book is written for graduate students and researchers, not only in mathematics but also in other disciplines. Nonlinear Partial Differential Equations will serve as an excellent textbook for a first course in modern analysis or as a useful self-study guide. Key topics in nonlinear partial differential equations as well as several fundamental tools and methods are presented. The only prerequisite required is a basic course in calculus |
| 著者標目 | *Giga, Mi-Ho author Giga, Yoshikazu author Saal, Jürgen author SpringerLink (Online service) |
| 件 名 | LCSH:Mathematics LCSH:Mathematical analysis LCSH:Analysis (Mathematics) LCSH:Approximation theory LCSH:Functional analysis LCSH:Partial differential equations FREE:Mathematics FREE:Partial Differential Equations FREE:Functional Analysis FREE:Analysis FREE:Approximations and Expansions |
| 分 類 | DC23:515.353 |
| 巻冊次 | ISBN:9780817646516 
|
| ISBN | 9780817646516 |
| URL | http://dx.doi.org/10.1007/978-0-8176-4651-6 |
目次／あらすじ