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Dynamics of fluids, i.e., liquids and gases, is an important part of continuum mechanics. Fundamental classical concepts and results in fluid dynamics are connected with the names of I. Newton, L. Euler, A. L. Cauchy, J. L. Lagrange, D. Bernoulli, C. Huygens, etc. Their works was later extended by G. Kirchhoff, H. Helmholtz, G. G. Stokes, C. L. Navier, and many others. Great progress in fluid dynamics was achieved using differential and integral calculus, differential equations, and the theory of functions of complex variable. It was later followed by the development of numerical computational methods. Deeper analysis of corresponding mathematical models has been enabled by advances in theory of ordinary and partial differential equations, which are mainly based on methods and tools of functional analysis.

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Introduction

  • 章节

  • 发表日期：

    2025年

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  • Šárka Nečasová,
  • Stanislav Kračmar,
  • Jiří Neustupa,
  • Patrick Penel

摘要

Dynamics of fluids, i.e., liquids and gases, is an important part of continuum mechanics. Fundamental classical concepts and results in fluid dynamics are connected with the names of I. Newton, L. Euler, A. L. Cauchy, J. L. Lagrange, D. Bernoulli, C. Huygens, etc. Their works was later extended by G. Kirchhoff, H. Helmholtz, G. G. Stokes, C. L. Navier, and many others. Great progress in fluid dynamics was achieved using differential and integral calculus, differential equations, and the theory of functions of complex variable. It was later followed by the development of numerical computational methods. Deeper analysis of corresponding mathematical models has been enabled by advances in theory of ordinary and partial differential equations, which are mainly based on methods and tools of functional analysis.