Recent progress in the theory of the Euler and Navier-Stokes equations
著者
書誌事項
Recent progress in the theory of the Euler and Navier-Stokes equations
（London Mathematical Society lecture note series, 430）
Cambridge University Press, 2016
- : pbk
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注記
Other editors: José L. Rodrigo, Witold Sadowski and Alejandro Vidal-López
Includes bibliographical references
内容説明・目次
内容説明
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.
目次
- Preface James C. Robinson, Jose L. Rodrigo, Witold Sadowski and Alejandro Vidal-Lopez
- 1. Classical solutions to the two-dimensional Euler equations and elliptic boundary value problems, an overview Hugo Beirao da Veiga
- 2. Analyticity radii and the Navier-Stokes equations - recent results and applications Zachary Bradshaw, Zoran Grujic 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 Lemarie-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-Lopez
- 10. Some probabilistic topics in the Navier-Stokes equations Marco Romito.
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