Topological Methods in Hydrodynamics

• Author(s): Vladimir I. Arnold, Boris A. Khesin,
• Publisher: Springer Nature
• Pages: 455
• ISBN_10: 3030742784
  ISBN_13: 9783030742782
  
• Language: en
• Categories: Mathematics / General , Technology & Engineering / Mechanical , Mathematics / Applied , Technology & Engineering / Engineering (General) , Science / Physics / Mathematical & Computational , Mathematics / Mathematical Analysis , Science / Mechanics / Fluids , Computers / Artificial Intelligence / General , Mathematics / Linear & Nonlinear Programming ,

Description:... The first monograph to treat topological, group-theoretic, and geometric problems of ideal hydrodynamics and magnetohydrodynamics from a unified point of view. It describes the necessary preliminary notions both in hydrodynamics and pure mathematics with numerous examples and figures. The book is accessible to graduates as well as pure and applied mathematicians working in hydrodynamics, Lie groups, dynamical systems, and differential geometry.