Nonlinear Partial Differential Equations: Asymptotic Behavior of Solutions and Self-Similar Solutions: 79 (Progress in Nonlinear Differential Equations and Their Applications) - Hardcover

Saal, Jürgen; Giga, Mi-Ho; Giga, Yoshikazu

Hardcover

ISBN 10: 0817641734 ISBN 13: 9780817641733

Verlag: Birkhäuser, 2010

Inhaltsangabe

This work will serve 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. This textbook will be an excellent resource for self-study or classroom use.

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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.

Details zur Ausgabe

• Verlag: Birkhäuser
• Erscheinungsdatum: 2010
• Sprache: Englisch
• ISBN 10: 0817641734
• ISBN 13: 9780817641733
• Einband: Tapa dura
• Anzahl der Seiten: 314
• Kontakt zum Hersteller: Nicht verfügbar
• Verantwortliche Person: Nicht verfügbar