Temporary list of contents of the english version of the book
"Fluid dynamics" by Giovanni Gallavotti

Sec (CHAPTER I: Generalities on Continua)[1]
Sec (\\${1.1} Continua)[1]
Sec (\\${1.2} General and incompressible equations.)[15]
Sec (\\${1.3} The rescaling method and estimates of the approximations)[25]
Sec (\\${1.4} Elements of hydrostatics)[32]
Sec (\\${1.5} The convection problem. Rayleigh's equations)[43]
Sec (\\${1.6} Kinematics: incompressible fields, vector potentials, decompositions of a general field)[53]
Sec (\\${1.7} Vorticity conservation in Euler equation. Clebsch potentials and Hamiltonian form of Euler equations. Bidimensional fluids)[66]
Sec (CHAPTER II: Empirical algorithms. Analytical theories)[83]
Sec (\\${2.1} Incompressible Euler and Navier--Stokes fluidodynamics. First empirical solutions algorithms. Auxiliary friction and heat equation comparison methods)[83]
Sec (\\${2.2} Another class of empirical algorithms. Spectral method. Stokes problem. Gyroscopic analogy)[99]
Sec (\\${2.3} Vorticity algorithms for incompressible Euler and Navier--Stokes fluids. The \$d=2\$ case)[118]
Sec (\\${2.4} Vorticity algorithms for incompressible Euler and Navier--Stokes fluids. The \$d=3\$ case)[126]
Sec (CHAPTER III: Analytical theories and mathematical aspects)[141]
Sec (\\${3.1} Spectral method and local existence, regularity and uniqueness theorems for Euler and Navier--Stokes equations, \$d\ge 2\$)[141]
Sec (\\${3.2} Weak global existence theorems for NS. Autoregularization, existence, regularity and uniqueness for \$d=2\$)[156]
Sec (\\${3.3} Regularity: partial results for the NS equation in \$d=3\$. The theory of Leray)[174]
Sec (\\${3.4} Fractal dimension of singularities of the Navier--Stokes equation, \$d=3\$)[194]
Sec (\\${3.5} Local homogeneity and regularity. CKN theory)[202]
Sec (CHAPTER IV: Incipient turbulence and chaos)[223]
Sec (\\${4.1} Fluids theory in absence of existence and uniqueness theorems for the basic fluidodynamics equations. Truncated NS equations. The Rayleigh's and Lorenz' models)[223]
Sec (\\${4.2} Onset of chaos. Elements of bifurcation theory)[235]
Sec (\\${4.3} Chaos scenarios)[253]
Sec (\\${4.4} Dynamical tables)[269]
Sec (CHAPTER V: Ordering chaos)[281]
Sec (\\${5.1} Quantitative description of chaotic motions before developed turbulence. Continuous spectrum)[281]
Sec (\\${5.2} Timed observations. Random data.)[299]
Sec (\\${5.3} Dynamical systems types. Statistics on attracting sets)[311]
Sec (\\${5.4} Dynamical bases and Lyapunov exponents)[322]
Sec (\\${5.5} SRB Statistics. Attractors and attracting sets. Fractal dimension.)[341]
Sec (\\${5.6} Ordering of Chaos. Entropy and complexity)[357]
Sec (\\${5.7} Symbolic dynamics. Lorenz model. Ruelle's principle)[369]
Sec (CHAPTER VI: Developed turbulence)[391]
Sec (\\${6.1} Functional integral representation of stationary distributions)[391]
Sec (\\${6.2} Phenomenology of developed turbulence and Kolmogorov laws)[400]
Sec (\\${6.3} The shell model. Multifractal statistics)[419]
Sec (CHAPTER VII: Statistical properties of turbulence)[429]
Sec (\\${7.1} Viscosity, reversibility and irreversible dissipation)[429]
Sec (\\${7.2} Reversibility, axiom C, chaotic hypothesis.)[440]
Sec (\\${7.3} Chaotic hypothesis, fluctuation theorem and Onsager reciprocity. Entropy driven intermittency)[451]
Sec (\\${7.4} The structure of the attractor for the Navier--Stokes equations)[465]
Sec (Bibliography)[479]
Sec (Name index)[487]
Sec (Subject index)[488]
Sec (Citations index)[494]