al. (eds.) Partial differential equations in fluid mechanics

Contents......Page 6
List of contributors......Page 8
Preface......Page 12
1 Remarks on recent advances concerning boundary effects and the vanishing viscosity limit of the Navier–Stokes equations......Page 14
2 Time-periodic flow of a viscous liquid past a body......Page 33
3 The Rayleigh–Taylor instability in buoyancy-driven variable density turbulence......Page 63
4 On localization and quantitative uniqueness for elliptic partial differential equations......Page 81
5 Quasi-invariance for the Navier–Stokes equations......Page 110
6 Leray’s fundamental work on the Navier–Stokes equations: a modern review of “Sur le mouvement d’un liquide visqueux emplissant l’espace”......Page 126
7 Stable mild Navier–Stokes solutions by iteration of linear singular Volterra integral equations......Page 217
8 Energy conservation in the 3D Euler equations on T2 × R+......Page 237
9 Regularity of Navier–Stokes flows with bounds for the velocity gradient along streamlines and an effective pressure......Page 265
10 A direct approach to Gevrey regularity on the half-space......Page 281
11 Weak-Strong Uniqueness in Fluid Dynamics......Page 302