1 Table of Contents: “...Fluid Flow Modeling -- Weak Solutions, A Priori Estimates -- Existence Theory -- Asymptotic...”

2 Table of Contents: “... of Pressure in the Theory of Weak Solutions to the Navier-Stokes Equations -- Pressure Dependent Material...”

3 Table of Contents: “...1 Introduction and Background -- 2 Rational and Other Explicit Strong Solutions -- 3 Weak Solutions...”

4 Table of Contents: “... waves -- Energy conservation laws -- Existence and uniqueness of a weak solution -- Weak formulation...”

5 Table of Contents: “... -- Anisotropie and Geometric Criteria for Interior Regularity of Weak Solutions to the 3D Navier-Stokes Equations...”

6 “...) is that the m physical quantities u define a weak solution of an m x m system of conservation laws, o I + N(Wt'u...”

7 Table of Contents: “... behaviour of solutions to the Navier-Stokes equations -- Approximation of weak solutions of the Navier...”

8 Table of Contents: “... on Weak Solutions and Weak Uniqueness -- On the Application of Wavelets to LES Sub-grid Modelling...”

9 Table of Contents: “... Some Properties of Weak Solutions of Semilinear Elliptic Equations -- 9.4 Best Constant in Sobolev...”

10 “... behavior of weak solutions to nonlinear Fokker-Planck equations, along with their implications...”