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An Introduction to Nonlinear Partial Differential Equations / Edition 1

An Introduction to Nonlinear Partial Differential Equations / Edition 1

by J. David Logan


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Uses an analytical and techniques-oriented approach to present a concise introduction to the subject focusing on time-evolution problems. Emphasizes hyperbolic and parabolic problems and includes a range of applications—chemistry, porous media, biological problems, traffic flow, reactors, heat transfer and detonation. Packed with exercises, examples and illustrations.

Product Details

ISBN-13: 9780471599166
Publisher: Wiley
Publication date: 03/28/1994
Series: Pure and Applied Mathematics: A Wiley Series of Texts, Monographs and Tracts Series , #21
Edition description: Older Edition
Pages: 416
Product dimensions: 1.00(w) x 6.14(h) x 9.21(d)

About the Author

J. David Logan, PhD, is Willa Cather Professor of Mathematics at the University of Nebraska–Lincoln. He has authored several texts on elementary differential equations and beginning partial differential equations, including Applied Mathematics, Third Edition, also published by Wiley. Dr. Logan's research interests include mathematical physics, combustion and detonation, hydrogeology, and mathematical biology.

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Table of Contents

Partial Differential Equations.

First Order Equations and Characteristics.

Weak Solutions to Hyperbolic Equations.

Diffusion Processes.

Hyperbolic Systems.

Reaction-Diffusion Equations.

Models for Chemically Reacting Fluids.

Elliptic Equations.


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"This book is an ideal text for applied mathematics courses at the upper-undergraduate and graduate levels. It also serves as a valuable resource for researchers and professionals in the fields of mathematics, biology, engineering, and physics who would like to further their knowledge of PDEs." (Mathematical Reviews, 2009c)

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