Tabla de Contenidos:
  • The Navier-Stokes equations
  • Constant-coefficient Cauchy problems
  • Linear variable-coefficient Cauchy problems in 1D
  • A nonlinear example : Burgers' equation
  • Nonlinear systems in one space dimension
  • The Cauchy problem for systems in several dimensions
  • Initial-boundary value problems in one space dimension
  • Initial-boundary value problems in several space dimensions
  • The incompressible Navier-Stokes equations : the spatially periodic case
  • The incompressible Navier-Stokes equations under initial and boundary conditions.