流动非线性及其同伦分析：流体力学和传热（英文版）

In scientific engineering, many problems are non-linear and difficult to solve. Traditional analytical approximation methods are only effective for weak non-linear problems, but cannot solve strong non-linear problems well. Homotopy Analysis Method is an effective analytical approximation method that has developed in the last 20 years for solving strong non-linear problems. This book introduces the latest theoretical progress of Homotopy Analysis Method for strong nonlinear problems, centered on the structure of the theory, and provides a large number of nonlinear examples in fluid mechanics and heat transfer to demonstrate the applicability of Homotopy Analysis Method. Suitable for those interested in the analytical approximate solutions of strong nonlinear problems in Physics, Applied Mathematics, Non-linear Mechanics, Finance, and Engineering researchers and graduate students. This book describes in-depth the principles of Homotopy Analysis Method and its application to fluid mechanics and heat transfer. Compared with traditional analytical methods, Homotopy Analysis Method can obtain more accurate solutions in nonlinear problems and has stronger applicability. The book not only introduces the theoretical framework of Homotopy Analysis Method, but also introduces its applicable aspects, which to a certain extent promote the application of Homotopy Analysis Method in various fields. The book is of great value to researchers who expect to solve complex nonlinear problems with high accuracy.