Mathematical Aspects of Fluid Mechanics

James C. Robinson is a Professor of Mathematics at the University of Warwick. He is an EPSRC Leadership Fellow and has previously held a Royal Society University Research Fellowship. José L. Rodrigo is an Associate Professor in Mathematics at the University of Warwick. Witold Sadowksi is an Assistant Professor at the University of Warsaw.

• Preface; List of contributors; 1. Towards fluid equations by approximate deconvolution models L. C. Berselli; 2. On flows of fluids described by an implicit constitutive equation characterized by a maximal monotone graph M. Bulíček, P. Gwiazda, J. Málek, K. R. Rajagopal and A. Świerczewska-Gwiazda; 3. A continuous model for turbulent energy cascade A. Cheskidov, R. Shvydkoy and S. Friedlander; 4. Remarks on complex fluid models P. Constantin; 5. A naive parametrization for the vortex-sheet problem A. Castro, D. Córdoba and F. Gancedo; 6. Sharp and almost-sharp fronts for the SQG equation C. L. Fefferman; 7. Feedback stabilization for the Navier–Stokes equations: theory and calculations A. V. Fursikov and A. A. Kornev; 8. Interacting vortex pairs in inviscid and viscous planar flows T. Gallay; 9. Stretching and folding diagnostics in solutions of the three-dimensional Euler and Navier–Stokes equations J. D. Gibbon and D. D. Holm; 10. Exploring symmetry plane conditions in numerical Euler solutions R. M. Kerr and M. D. Bustamante; 11. On the decay of solutions of the Navier–Stokes system with potential forces I. Kukavica; 12. Leray–Hopf solutions to Navier–Stokes equations with weakly converging initial data G. Seregin.