本书是一部讲述近代流体力学成果的英文专著,本书认为数学方法和模型是应用数学和理论物理学的分支。本书致力于阐释流体力学建模的相关内容,由四章组成,其中包含大量有用的练习和解决方案.我们在每章末尾的参考书目中提供了相关主题的相对完整的参考资料。
Foreword
Preface
1 Mathematical Background
1.1 Dynamical systems
1.1.1 Vector fields and dynamical systems
1.1.2 Critical points in phase space
1.1.3 Higher-order autonomous systems
1.1.4 Dirac delta function
1.1.5 Special functions
1.1.6 Green's function
1.1.7 Boundary and initial value problems
1.2 Asymptotic behavior and stability
1.2.1 Asymptotic expansions
1.2.2 Asymptotic behavior of autonomous systems
1.2.3 Stability of autonomous systems
1.2.4 More on stability
1.3 Bifurcations
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