Recent progress in the theory of the Euler and Navier-Stokes equations
Differential equations, Partial Navier-Stokes equations Lagrange equations
Cambridge University Press
2016
EISBN 1316589919
Classical solutions to the two-dimensional Euler equations and elliptic boundary value problems, an overview / H. Beirão da Veiga.
Analyticity radii and the Navier-Stokes equations: recent results and applications / Z. Bradshaw, Z. Grujic, & I. Kukavica.
On the motion of a pendulum with a cavity entirely filled with a viscous liquid / G.P. Galdi & G. Mazzone.
Modal dependency and nonlinear depletion in the three-dimensional Navier-Stokes equations / J.D. Gibbon.
Boussinesq equations with zero viscosity or zero diffusivity: a review / W. Hu, I. Kukavica, F. Wang, & M. Ziane.
Global regularity versus finite-time singularities: some paradigms on the effect of boundary conditions and certain perturbations / A. Larios & E.S. Titi.
Parabolic Morrey spaces and mild solutions of the Navier-Stokes equations: an interesting answer through a silly method to a stupid question / P.G. Lemarié-Rieusset.
Well-posedness for the diffusive 3D Burgers equations with initial data in H1/2 / B.C. Pooley & J.C. Robinson.
On the Fursikov approach to the moment problem for the three-dimensional Navier-Stokes equations / J.C. Robinson & A. Vidal-López.
Some probabilistic topics in the Navier-Stokes equations / M. Romito.
The rigorous mathematical theory of the Navier-Stokes and Euler equations has been a focus of intense activity in recent years. This volume, the product of a workshop in Venice in 2013, consolidates, surveys and further advances the study of these canonical equations. It consists of a number of reviews and a selection of more traditional research articles on topics that include classical solutions to the 2D Euler equation, modal dependency for the 3D Navier-Stokes equation, zero viscosity Boussinesq equations, global regularity and finite-time singularities, well-posedness for the diffusive Burgers equations, and probabilistic aspects of the Navier-Stokes equation. The result is an accessible summary of a wide range of active research topics written by leaders in their field, together with some exciting new results. The book serves both as a helpful overview for graduate students new to the area and as a useful resource for more established researchers.
Analyticity radii and the Navier-Stokes equations: recent results and applications / Z. Bradshaw, Z. Grujic, & I. Kukavica.
On the motion of a pendulum with a cavity entirely filled with a viscous liquid / G.P. Galdi & G. Mazzone.
Modal dependency and nonlinear depletion in the three-dimensional Navier-Stokes equations / J.D. Gibbon.
Boussinesq equations with zero viscosity or zero diffusivity: a review / W. Hu, I. Kukavica, F. Wang, & M. Ziane.
Global regularity versus finite-time singularities: some paradigms on the effect of boundary conditions and certain perturbations / A. Larios & E.S. Titi.
Parabolic Morrey spaces and mild solutions of the Navier-Stokes equations: an interesting answer through a silly method to a stupid question / P.G. Lemarié-Rieusset.
Well-posedness for the diffusive 3D Burgers equations with initial data in H1/2 / B.C. Pooley & J.C. Robinson.
On the Fursikov approach to the moment problem for the three-dimensional Navier-Stokes equations / J.C. Robinson & A. Vidal-López.
Some probabilistic topics in the Navier-Stokes equations / M. Romito.
The rigorous mathematical theory of the Navier-Stokes and Euler equations has been a focus of intense activity in recent years. This volume, the product of a workshop in Venice in 2013, consolidates, surveys and further advances the study of these canonical equations. It consists of a number of reviews and a selection of more traditional research articles on topics that include classical solutions to the 2D Euler equation, modal dependency for the 3D Navier-Stokes equation, zero viscosity Boussinesq equations, global regularity and finite-time singularities, well-posedness for the diffusive Burgers equations, and probabilistic aspects of the Navier-Stokes equation. The result is an accessible summary of a wide range of active research topics written by leaders in their field, together with some exciting new results. The book serves both as a helpful overview for graduate students new to the area and as a useful resource for more established researchers.
