The energy method, stability, and nonlinear convection
By: Brian Straughan.
Edition: 2nd ed.
Series: Applied mathematical sciences ;; 91; Applied mathematical sciences (Springer-Verlag New York Inc.) ;; v. 91.
Publisher: Springer
Published: 2004
Place of publication: New York
Language: eng
Number of pages: 442
Subjects: Fluid dynamics; Differential equations, Nonlinear -- Numerical solutions; Heat -- Convection -- Mathematical models
Description: "This book describes the energy method, a powerful technique for deriving nonlinear stability estimates in thermal convection contexts. It includes a very readable introduction to the subject (Chapters 2 to 4), which begins at an elementary level and explains the energy method in great detail, and also covers the current topic of convection in porous media, introducing simple models and then showing how useful stability results can be derived. In addition to the basic explanation, many examples from diverse areas of fluid mechanics are described. The book also mentions new areas where the methods are being used, for example, mathematical biology and finance. Several of the results given are published here for the first time."--BOOK JACKET.
Notes: Includes bibliographical references (p. [397]-442) and index.