Peter Constantin is the John von Neumann Professor in the Department of Mathematics and Director of PACM (Program in Applied and Computational Mathematics) at Princeton University. He was an Alfred P. Sloan Research Fellow (1986–1990) and is a Fellow of the Institute of Physics, a SIAM Fellow, a Fellow of the American Academy of Arts and Sciences, and an AMS Inaugural Fellow. He has served on the editorial boards of several journals and published over 170 papers and two books.

• PrefaceChapter 1: IntroductionChapter 2: Lagrangian and Eulerian descriptions of hydrodynamic systemsChapter 3: Hydrodynamic modelsChapter 4: Spaces and operatorsChapter 5: The Langrangian-Eulerian existence theoremsChapter 6: Critical dissipative active scalarsBibliographyIndex.