UID:
almafu_9959692268802883
Format:
1 online resource (xiii, 232 pages) :
,
digital, PDF file(s).
ISBN:
1-316-58877-7
,
1-316-58991-9
,
1-316-59010-0
,
1-316-40710-1
,
1-316-59124-7
,
1-316-59029-1
,
1-316-59048-8
Series Statement:
London Mathematical Society lecture note series ; 430
Content:
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.
Note:
Title from publisher's bibliographic system (viewed on 07 Jan 2016).
,
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.
Additional Edition:
ISBN 1-107-55497-7
Language:
English
URL:
https://doi.org/10.1017/CBO9781316407103
Bookmarklink