Navier-Stokes Equations and Turbulence

Foias C., Manley O., Rosa R.0511039360, 0521360323

Written for mathematicians, physicists, and engineers, this book draws together the perspectives of their various disciplines, explaining both the mathematical and physical theory behind turbulence. Turbulence is analyzed using Sobolex spaces and functional analysis, deriving from the Navier-Stokes equations the conventional theory which had previously only been supported by phenomenological arguments. Each chapter is followed by appendices presenting the full details of the mathematical proofs.