Recent Progress in the Theory of the Euler and Navier-Stokes Equations (eBook, PDF)

Redaktion: Robinson, James C.

• Format: PDF

Produktbeschreibung

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.

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Produktdetails

• Verlag: Cambridge University Press
• Erscheinungstermin: 21. Januar 2016
• Englisch
• ISBN-13: 9781316590102
• Artikelnr.: 44758264

Inhaltsangabe

Preface James C. Robinson, José L. Rodrigo, Witold Sadowski and Alejandro
Vidal-López; 1. Classical solutions to the two-dimensional Euler equations
and elliptic boundary value problems, an overview Hugo Beirão da Veiga; 2.
Analyticity radii and the Navier-Stokes equations - recent results and
applications Zachary Bradshaw, Zoran Gruji¿ and Igor Kukavica; 3. On the
motion of a pendulum with a cavity entirely filled with a viscous liquid
Giovanni P. Galdi and Giusy Mazzone; 4. Modal dependency and nonlinear
depletion in the three-dimensional Navier-Stokes equations John D. Gibbon;
5. Boussinesq equations with zero viscosity or zero diffusivity - a review
Weiwei Hu, Igor Kukavica, Fei Wang and Mohammed Ziane; 6. Global regularity
versus finite-time singularities - some paradigms on the effect of boundary
conditions and certain perturbations Adam Larios and Edriss S. Titi; 7.
Parabolic Morrey spaces and mild solutions of the Navier-Stokes equations -
an interesting answer through a silly method to a stupid question Pierre
Gilles Lemarié-Rieusset; 8. Well-posedness for the diffusive 3D Burgers
equations with initial data in H1/2 Benjamin C. Pooley and James C.
Robinson; 9. On the Fursikov approach to the moment problem for the
three-dimensional Navier-Stokes equations James C. Robinson and Alejandro
Vidal-López; 10. Some probabilistic topics in the Navier-Stokes equations
Marco Romito.