Applied Partial Differential Equations

• New edition of the well-known text by Ockendon et al.
• Contains numerous new and topical exercises
• Focuses on recent applications of PDEs
• Timely updates on: transform methods (especially multidimensional Fourier transforms and the Radon transform), explicit representations of general solutions of the wave equation, bifurcations, the Wiener-Hopf method, free surface flows, American options, the Monge-Ampere equation, linear elasticity, and complex characteristics

New to this edition

• Timely updates on: transform methods (especially multidimensional Fourier transforms and the Radon transform), explicit representations of general solutions of the wave equation, bifurcations, the Wiener-Hopf method, free surface flows, American options, the Monge-Ampere equation, linear elasticity, and complex characteristics
• Numerous topical exercises

Readership: This new edition, interspersed with numerous footnotes and topical exercises, is aimed at students of mathematics, engineering and physics seeking a comprehensive text in the applications of PDEs

John Ockendon, OCIAM, University of Oxford, Sam Howison, OCIAM, University of Oxford, Andrew Lacey, Department of Mathematics, Heriot-Watt University, and Alexander Movchan, Department of Mathematics, University of Liverpool

Review(s) from previous edition

"'This is a clearly written guide to the theory and applications of partial differential equations....' MATH

"' This book is thus greatly to be welcomed, as it sets out theory and methods for partial differential equations from the perspective of applied mathematicians who are concerned with the actual application of mathematics to model physics...The narrative style is chatty and informal with a strong personal stamp.A liberal lacing of emotive expressions encourages the discerning reader to empathise with the author's instincts by reading danger signals, recognising red-letter days and seeing analyses as trivial, tedious, delicate or hair-raising.'Feel' and experience are invaluable tools when attacking new problems, and I applaud the authors' attempts to impart some of theirs along with the technical content. Overall, a very worthwhile read, and I'll be glad to have a copy on my shelf' Journal of Fluid Mechanics"

"'For departments still offering serious PDE courses, Applied Partial Differential Equations provides a comprehensive and challenging text ... Able mathematics undergraduates ... should all find something they can take from the text ... There are numerous footnotes providing helpful physical explanations ... The end of each chapter is well furnished with interesting exercises' THES"

Introduction
First-order scalar quasilinear equations
First-order quasilinear systems
Introduction to second-order scalar equations
Hyperbolic equations
Elliptic equations
Parabolic equations
Free boundary problems
Non-quasilinear equations
Miscellaneous topics
Conclusion
References
Index