General Vortex Theory

  • V. V. Kozlov
Part of the Encyclopaedia of Mathematical Sciences book series (EMS, volume 67)

Abstract

The aim in this chapter is to investigate the multidimensional Lamb equation, which interconnects a covector field u(x, t), a vector field v(x, t), and a function h(x, t):
$$ frac{{\partial u}}{{\partial t}} + ({\text{rot }}u)v = - \frac{{\partial h}}{{\partial x}}. $$
(1.1)

Keywords

Vector Field Hamiltonian System Vortex Line World Line Integral Curf 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2003

Authors and Affiliations

  • V. V. Kozlov
    • 1
  1. 1.Department of Mathematics and MechanicsMoscow State UniversityMoscowRussia

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