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Applied Shape Optimization for Fluids

Applied Shape Optimization for Fluids

Bijan Mohammadi and Olivier Pironneau

Published in print:
2009
Published Online:
February 2010
ISBN:
9780199546909
eISBN:
9780191720482
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199546909.001.0001
Subject:
Mathematics, Mathematical Physics

The fields of computational fluid dynamics (CFD) and optimal shape design (OSD) have received considerable attention in the recent past, and are of practical importance for many engineering ... More

Differential GeometryBundles, Connections, Metrics and Curvature

Differential Geometry: Bundles, Connections, Metrics and Curvature

Clifford Henry Taubes

Published in print:
2011
Published Online:
December 2013
ISBN:
9780199605880
eISBN:
9780191774911
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199605880.001.0001
Subject:
Mathematics, Geometry / Topology, Mathematical Physics

Bundles, connections, metrics, and curvature are the ‘lingua franca’ of modern differential geometry and theoretical physics. Many of the tools used in differential topology are introduced and the ... More

Feynman's Operational Calculus and BeyondNoncommutativity and Time-Ordering

Feynman's Operational Calculus and Beyond: Noncommutativity and Time-Ordering

Gerald W Johnson, Michel L. Lapidus, and Lance Nielsen

Published in print:
2015
Published Online:
September 2015
ISBN:
9780198702498
eISBN:
9780191772160
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198702498.001.0001
Subject:
Mathematics, Mathematical Physics, Numerical Analysis

This book provides an abstract theory of Feynman’s operational calculus for functions of (typically) noncommuting operators. Although it is inspired by Feynman’s original heuristic suggestions and ... More

Hyperbolic Dynamics and Brownian MotionAn Introduction

Hyperbolic Dynamics and Brownian Motion: An Introduction

Jacques Franchi and Yves Le Jan

Published in print:
2012
Published Online:
January 2013
ISBN:
9780199654109
eISBN:
9780191745676
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199654109.001.0001
Subject:
Mathematics, Mathematical Physics

The idea of this book is to illustrate an interplay between distinct domains of mathematics. Firstly, this book provides an introduction to hyperbolic geometry, based on the Lorentz group PSO(1, d) ... More

Mathematical Methods for the Magnetohydrodynamics of Liquid Metals

Mathematical Methods for the Magnetohydrodynamics of Liquid Metals

Jean-Frédéric Gerbeau, Claude Le Bris, and Tony Lelièvre

Published in print:
2006
Published Online:
September 2007
ISBN:
9780198566656
eISBN:
9780191718014
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198566656.001.0001
Subject:
Mathematics, Mathematical Physics

This text focuses on mathematical and numerical techniques for the simulation of magnetohydrodynamic phenomena, with an emphasis on the magnetohydrodynamics of liquid metals, on two-fluid flows, and ... More

On the Topology and Future Stability of the Universe

On the Topology and Future Stability of the Universe

Hans Ringström

Published in print:
2013
Published Online:
September 2013
ISBN:
9780199680290
eISBN:
9780191760235
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199680290.001.0001
Subject:
Mathematics, Mathematical Physics, Geometry / Topology

The subject of the book is the topology and future stability of models of the universe. In standard cosmology, the universe is assumed to be spatially homogeneous and isotropic. However, it is of ... More

The Porous Medium EquationMathematical Theory

The Porous Medium Equation: Mathematical Theory

Juan Luis Vazquez

Published in print:
2006
Published Online:
September 2007
ISBN:
9780198569039
eISBN:
9780191717468
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198569039.001.0001
Subject:
Mathematics, Mathematical Physics

The heat equation is one of the three classical linear partial differential equations of second order that form the basis of any elementary introduction to the area of PDEs, and only recently has it ... More

The Statistical Mechanics of Interacting Walks, Polygons, Animals and Vesicles

The Statistical Mechanics of Interacting Walks, Polygons, Animals and Vesicles

E.J. Janse van Rensburg

Published in print:
2015
Published Online:
August 2015
ISBN:
9780199666577
eISBN:
9780191748653
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199666577.001.0001
Subject:
Mathematics, Mathematical Physics

This book is an account of the theory and mathematical approaches in polymer entropy, with particular emphasis on mathematical approaches to directed and undirected lattice models. Results in the ... More

Thermoelasticity with Finite Wave Speeds

Thermoelasticity with Finite Wave Speeds

Józef Ignaczak and Martin Ostoja-Starzewski

Published in print:
2009
Published Online:
February 2010
ISBN:
9780199541645
eISBN:
9780191716164
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199541645.001.0001
Subject:
Mathematics, Applied Mathematics, Mathematical Physics

Generalized dynamic thermoelasticity is a vital area of research in continuum mechanics, free of the classical paradox of infinite propagation speeds of thermal signals in Fourier‐type heat ... More

TurbulenceAn Introduction for Scientists and Engineers

Turbulence: An Introduction for Scientists and Engineers

Peter Davidson

Published in print:
2015
Published Online:
August 2015
ISBN:
9780198722588
eISBN:
9780191789298
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198722588.001.0001
Subject:
Mathematics, Applied Mathematics, Mathematical Physics

This book presents the subject of turbulence. The aim of the book is to bridge the gap between the elementary, heuristic accounts of turbulence and the more rigorous accounts given. Throughout, the ... More

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