Nonlinear Partial Differential Equations [electronic resource] :Asymptotic Behavior of Solutions and Self-Similar Solutions / by Mi-Ho Giga, Yoshikazu Giga, Jürgen Saal.
by Giga, Mi-Ho [author.]; Giga, Yoshikazu [author.]; Saal, Jürgen [author.]; SpringerLink (Online service).
Material type:
BookSeries: Progress in Nonlinear Differential Equations and Their Applications: 79Publisher: Boston : Birkhäuser Boston, 2010.Description: XVIII, 294p. 7 illus. online resource.ISBN: 9780817646516.Subject(s): Mathematics | Global analysis (Mathematics) | Functional analysis | Differential equations, partial | Mathematics | Partial Differential Equations | Functional Analysis | Analysis | Approximations and ExpansionsDDC classification: 515.353 Online resources: Click here to access online | Item type | Current location | Call number | Status | Date due | Barcode |
|---|---|---|---|---|---|
| MAIN LIBRARY | QA370-380 (Browse shelf) | Available |
Browsing MAIN LIBRARY Shelves Close shelf browser
| Number Theory | QA150-272 Representation Theory and Automorphic Forms | T57-57.97 Classical Mechanics | QA370-380 Nonlinear Partial Differential Equations | QA1-939 Distributions in the Physical and Engineering Sciences, Volume 2 | QA370-380 Spectral Theory of Infinite-Area Hyperbolic Surfaces | QA299.6-433 Integration and Modern Analysis |
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.
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.
There are no comments for this item.