Euler and Navier-Stokes Equations for Incompressible Fluids

  • Michael E. Taylor
Part of the Applied Mathematical Sciences book series (AMS, volume 117)


This chapter deals with equations describing motion of an incompressible fluid moving in a fixed compact space M, which it fills completely. We consider two types of fluid motion, with or without viscosity, and two types of compact space, a compact smooth Riemannian manifold with or without boundary.


Vector Field Weak Solution Euler Equation Incompressible Fluid Vortex Tube 
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Copyright information

© Springer Science+Business Media New York 1996

Authors and Affiliations

  • Michael E. Taylor
    • 1
  1. 1.Department of MathematicsUniversity of North CarolinaChapel HillUSA

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