Author: James C. Robinson
Publisher: Cambridge University Press
ISBN: 131658934X
Category : Mathematics
Languages : en
Pages : 247
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Book Description
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.
Author: James Cooper Robinson
Publisher:
ISBN: 9781316590485
Category : SCIENCE
Languages : en
Pages : 232
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Book Description
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.
Author: Hamid Abban
Publisher: Cambridge University Press
ISBN: 1009190822
Category : Mathematics
Languages : en
Pages : 368
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Book Description
Written in celebration of Miles Reid's 70th birthday, this illuminating volume contains 11 papers by leading mathematicians in and around algebraic geometry, broadly related to the themes and interests of Reid's varied career. Just as in Reid's own scientific output, some of the papers give comprehensive accounts of the state of the art of foundational matters, while others give expositions of subject areas or techniques in concrete terms. Reid has been one of the major expositors of algebraic geometry and a great influence on many in this field – this book hopes to inspire a new generation of graduate students and researchers in his tradition.
Author: Sergio Albeverio
Publisher: Springer
ISBN: 3540784934
Category : Mathematics
Languages : en
Pages : 183
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Book Description
Of the three lecture courses making up the CIME summer school on Fluid Dynamics at Cetraro in 2005 reflected in this volume, the first, due to Sergio Albeverio describes deterministic and stochastic models of hydrodynamics. In the second course, Franco Flandoli starts from 3D Navier-Stokes equations and ends with turbulence. Finally, Yakov Sinai, in the 3rd course, describes some rigorous mathematical results for multidimensional Navier-Stokes systems and some recent results on the one-dimensional Burgers equation with random forcing.
Author: Mark Hagen
Publisher: Cambridge University Press
ISBN: 1108447295
Category : Mathematics
Languages : en
Pages : 242
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Book Description
Contains expository articles and research papers in geometric group theory focusing on generalisations of Gromov hyperbolicity.
Author: Dietmar Kröner
Publisher: Springer Science & Business Media
ISBN: 3642585353
Category : Mathematics
Languages : en
Pages : 295
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Book Description
The book concerns theoretical and numerical aspects of systems of conservation laws, which can be considered as a mathematical model for the flows of inviscid compressible fluids. Five leading specialists in this area give an overview of the recent results, which include: kinetic methods, non-classical shock waves, viscosity and relaxation methods, a-posteriori error estimates, numerical schemes of higher order on unstructured grids in 3-D, preconditioning and symmetrization of the Euler and Navier-Stokes equations. This book will prove to be very useful for scientists working in mathematics, computational fluid mechanics, aerodynamics and astrophysics, as well as for graduate students, who want to learn about new developments in this area.
Author: Owen Dearricott
Publisher: Cambridge University Press
ISBN: 1108812813
Category : Mathematics
Languages : en
Pages : 401
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Book Description
From Ricci flow to GIT, physics to curvature bounds, Sasaki geometry to almost formality. This is differential geometry at large.
Author: Thomas Haines
Publisher: Cambridge University Press
ISBN: 1108704867
Category : Mathematics
Languages : en
Pages : 341
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Book Description
This volume forms the sequel to "On the stabilization of the trace formula", published by International Press of Boston, Inc., 2011
Author: Ron Donagi
Publisher: Cambridge University Press
ISBN: 110871577X
Category : Mathematics
Languages : en
Pages : 537
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Book Description
A collection of articles discussing integrable systems and algebraic geometry from leading researchers in the field.
Author: Ron Donagi
Publisher: Cambridge University Press
ISBN: 110880358X
Category : Mathematics
Languages : en
Pages : 421
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Book Description
Created as a celebration of mathematical pioneer Emma Previato, this comprehensive book highlights the connections between algebraic geometry and integrable systems, differential equations, mathematical physics, and many other areas. The authors, many of whom have been at the forefront of research into these topics for the last decades, have all been influenced by Previato's research, as her collaborators, students, or colleagues. The diverse articles in the book demonstrate the wide scope of Previato's work and the inclusion of several survey and introductory articles makes the text accessible to graduate students and non-experts, as well as researchers. This first volume covers a wide range of areas related to integrable systems, often emphasizing the deep connections with algebraic geometry. Common themes include theta functions and Abelian varieties, Lax equations, integrable hierarchies, Hamiltonian flows and difference operators. These powerful tools are applied to spinning top, Hitchin, Painleve and many other notable special equations.
