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In this chapter, the notation used throughout the book is introduced. We present mathematical tools, theorems, and lemmas used in the following chapters. We introduce the concept of moving domain described by a given vector field, and we state related theorems concerning smoothness of the domain.

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Notation, Definitions, and Basic Concepts

  • 章节

  • 发表日期：

    2025年

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  • Ondřej Kreml,
  • Václav Mácha,
  • Šárka Nečasová,
  • Tomasz Piasecki,
  • Aneta Wróblewska-Kamińska

摘要

In this chapter, the notation used throughout the book is introduced. We present mathematical tools, theorems, and lemmas used in the following chapters. We introduce the concept of moving domain described by a given vector field, and we state related theorems concerning smoothness of the domain.