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9780898716252 Academic Inspection Copy

Continuum Modeling in the Physical Sciences

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Mathematical modeling - the ability to apply mathematical concepts and techniques to real-life systems - has expanded considerably over the last decades, making it impossible to cover all of its aspects in one course or textbook. Continuum Modeling in the Physical Sciences provides an extensive exposition of the general principles and methods of this growing field with a focus on applications in the natural sciences. The authors present a thorough treatment of mathematical modeling from the elementary level to more advanced concepts. Most of the chapters are devoted to a discussion of central issues such as dimensional analysis, conservation principles, balance laws, constitutive relations, stability, robustness, and variational methods, and are accompanied by numerous real-life examples. Readers will benefit from the exercises placed throughout the text and the Challenging Problems sections found at the ends of several chapters. The last chapter is devoted to elaborated case studies in polymer dynamics, fiber spinning, water waves, and waveguide optics.
E. van Groesen is a Professor in the Department of Applied Mathematics at the University of Twente, The Netherlands. Jaap Molenaar is a Professor and Head of the Applied Mathematics Group, Biometris, at Wageningen University and Research Centre, The Netherlands.
Preface Chapter 1: Dimensional Analysis and Scaling Chapter 2: Conservation Principles and Constitutive Relations Chapter 3: Basic Concepts Chapter 4: Stability and Robustness Chapter 5: Variational Modeling Chapter 6: Advanced Models Bibliography Index.
Principles and methods of mathematical modeling with a focus on applications in the natural sciences.
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