Recent progress in the theory of the Euler and Navier-Stokes equations / edited by James C. Robinson (University of Warwick), José L. Rodrigo (University of Warwick), Witold Sadowski (Uniwersytet Warszawski, Poland), Alejandro Vidal-López (Xi'an Jiaotong University, China).

Format:

• Book

Contributor:

• Robinson, James C. (James Cooper), 1969- editor.
• Rodrigo, Jose L., editor.
• Sadowski, Witold (Mathematician), editor.
• Vidal-López, Alejandro, 1976- editor.

Series:

• London Mathematical Society lecture note series ; 430.
• London Mathematical Society lecture note series ; 430

Language:

English

Subjects (All):

• Differential equations, Partial.
• Navier-Stokes equations.
• Lagrange equations.

Physical Description:

1 online resource (xiii, 232 pages) : digital, PDF file(s).

Other Title:

Recent Progress in the Theory of the Euler & Navier-Stokes Equations

Place of Publication:

Cambridge : Cambridge University Press, 2016.

Summary:

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.

Contents:

• 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.

Notes:

• Title from publisher's bibliographic system (viewed on 07 Jan 2016).
• Includes bibliographical references and index.

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