## 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

## Dynamics of Viscous Compressible Fluids

*Eduard Feireisl*

- Published in print:
- 2003
- Published Online:
- September 2007
- ISBN:
- 9780198528388
- eISBN:
- 9780191713590
- Item type:
- book

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780198528388.001.0001
- Subject:
- Mathematics, Applied Mathematics

The book presents and develops the most recent ideas and concepts of the mathematical theory of viscous, compressible, and heat conducting fluids. Two main objectives are pursued: (i) global ... More

## Smoothing and Decay Estimates for Nonlinear Diffusion Equations: Equations of Porous Medium Type

*Juan Luis Vázquez*

- Published in print:
- 2006
- Published Online:
- September 2007
- ISBN:
- 9780199202973
- eISBN:
- 9780191707919
- Item type:
- book

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780199202973.001.0001
- Subject:
- Mathematics, Applied Mathematics

This book is concerned with the quantitative aspects of the theory of nonlinear diffusion equations; equations which can be seen as nonlinear variations of the classical heat equation. They appear as ... More

## Heat

*Stephen J. Blundell and Katherine M. Blundell*

### in Concepts in Thermal Physics

- Published in print:
- 2009
- Published Online:
- January 2010
- ISBN:
- 9780199562091
- eISBN:
- 9780191718236
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780199562091.003.0002
- Subject:
- Physics, Particle Physics / Astrophysics / Cosmology

This chapter explores the concepts of heat and heat capacity. Heat is defined as 'thermal energy in transit'. The heat capacity C of an object is given by C = dQ/dT. The heat capacity of a substance ... More

## An Introduction to Nonlinear Finite Element Analysis

*J. N. Reddy*

- Published in print:
- 2004
- Published Online:
- January 2010
- ISBN:
- 9780198525295
- eISBN:
- 9780191711671
- Item type:
- book

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780198525295.001.0001
- Subject:
- Physics, Theoretical, Computational, and Statistical Physics

This book presents the theory and computer implementation of the finite element method as applied to nonlinear problems of heat transfer and similar field problems, fluid mechanics (flows of ... More

## The heat treatment of invar

*Robert James Matthys*

### in Accurate Clock Pendulums

- Published in print:
- 2004
- Published Online:
- January 2010
- ISBN:
- 9780198529712
- eISBN:
- 9780191712791
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780198529712.003.0022
- Subject:
- Physics, History of Physics

Even though invar is the most common material used for the pendulum rod in a good clock, it is still a poor material for the purpose because of its relatively poor dimensional stability over time ... More

## On the Early Work of William Thomson: Mathematical Physics and Methodology in the 1840s

*I. Grattan-Guinness*

### in Kelvin: Life, Labours and Legacy

- Published in print:
- 2008
- Published Online:
- May 2008
- ISBN:
- 9780199231256
- eISBN:
- 9780191710803
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780199231256.003.0003
- Subject:
- Mathematics, History of Mathematics

This chapter reviews the early works of William Thomson. Thomson began to publish exceptionally early, in 1841, while still in his late teens; and a steady stream of papers came from him thereafter. ... More

## ‘A Dynamical Form of Mechanical Effect’: Thomson's Thermodynamics

*Iwan Rhys Morus*

### in Kelvin: Life, Labours and Legacy

- Published in print:
- 2008
- Published Online:
- May 2008
- ISBN:
- 9780199231256
- eISBN:
- 9780191710803
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780199231256.003.0008
- Subject:
- Mathematics, History of Mathematics

As he settled into his position as Professor of Natural Philosophy at Glasgow, Thomson would spend much of his time over the subsequent years pondering over the problem of heat and the difficulty of ... More

## Kelvin and Engineering

*Bernard Crossland*

### in Kelvin: Life, Labours and Legacy

- Published in print:
- 2008
- Published Online:
- May 2008
- ISBN:
- 9780199231256
- eISBN:
- 9780191710803
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780199231256.003.0009
- Subject:
- Mathematics, History of Mathematics

This chapter focuses on the achievements of Lord Kelvin as one of the great engineers of the 19th century. Topics discussed include his interest in laying a transatlantic telegraph cable, his ... More

## Thermal waves and ablative drive

*Stefano Atzeni and JÜrgen Meyer-Ter-Vehn*

### in The Physics of Inertial Fusion: BeamPlasma Interaction, Hydrodynamics, Hot Dense Matter

- Published in print:
- 2004
- Published Online:
- January 2008
- ISBN:
- 9780198562641
- eISBN:
- 9780191714030
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780198562641.003.0007
- Subject:
- Physics, Nuclear and Plasma Physics

Energy transport in ICF targets is dominated by electron heat conduction and radiative energy transfer. This transport often occurs in form of thermal waves with steep fronts, which may run ... More

## PROPAGATION PROPERTIES

*Juan Luis Vázquez*

### in The Porous Medium Equation: Mathematical Theory

- Published in print:
- 2006
- Published Online:
- September 2007
- ISBN:
- 9780198569039
- eISBN:
- 9780191717468
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780198569039.003.0014
- Subject:
- Mathematics, Mathematical Physics

This chapter introduces a study of the properties of the support and the free boundary of the solution in a several dimensional setting. It discusses in detail the property of finite propagation and ... More

## Computations, Transition Formulae, and the Local Index Formula

*Simon Scott*

### in Traces and Determinants of Pseudodifferential Operators

- Published in print:
- 2010
- Published Online:
- January 2011
- ISBN:
- 9780198568360
- eISBN:
- 9780191594748
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780198568360.003.0004
- Subject:
- Mathematics, Analysis

In this chapter the constructions of chapters 1 and 2 for are illustrated with explicit computations. The first part of the chapter presents various methods of computation commonly used in the ... More

## INTRODUCTION

*Juan Luis Vázquez*

### in The Porous Medium Equation: Mathematical Theory

- Published in print:
- 2006
- Published Online:
- September 2007
- ISBN:
- 9780198569039
- eISBN:
- 9780191717468
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780198569039.003.0001
- Subject:
- Mathematics, Mathematical Physics

This chapter introduces the mathematical theory of the nonlinear heat equation referred to as the porous medium equation (PME). This equation is one of the simplest examples of a nonlinear evolution ... More

## MAIN APPLICATIONS

*Juan Luis Vázquez*

### in The Porous Medium Equation: Mathematical Theory

- Published in print:
- 2006
- Published Online:
- September 2007
- ISBN:
- 9780198569039
- eISBN:
- 9780191717468
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780198569039.003.0002
- Subject:
- Mathematics, Mathematical Physics

This chapter reviews the main applications of the porous medium equation (PME). Section 2.1 describes the standard model of gas flow through a porous medium (Darcy-Leibenzon-Muskat). Section 2.2 ... More

## The Sun's Influence on Climate

*Joanna D. Haigh and Peter Cargill*

- Published in print:
- 2015
- Published Online:
- October 2017
- ISBN:
- 9780691153834
- eISBN:
- 9781400866540
- Item type:
- book

- Publisher:
- Princeton University Press
- DOI:
- 10.23943/princeton/9780691153834.001.0001
- Subject:
- Environmental Science, Climate

The Earth's climate system depends entirely on the Sun for its energy. Solar radiation warms the atmosphere and is fundamental to atmospheric composition, while the distribution of solar heating ... More

## The Intransigence of Things

*Stephen J. Collier*

### in Post-Soviet Social: Neoliberalism, Social Modernity, Biopolitics

- Published in print:
- 2011
- Published Online:
- October 2017
- ISBN:
- 9780691148304
- eISBN:
- 9781400840427
- Item type:
- chapter

- Publisher:
- Princeton University Press
- DOI:
- 10.23943/princeton/9780691148304.003.0008
- Subject:
- Anthropology, Social and Cultural Anthropology

This chapter looks at the reform of communal services, particularly centralized heating systems. The heating system was a key element of the Soviet variant of “infrastructural” social modernity. ... More

## Lower bounds, contractivity, error estimates, and continuity

*Juan Luis Vázquez*

### in Smoothing and Decay Estimates for Nonlinear Diffusion Equations: Equations of Porous Medium Type

- Published in print:
- 2006
- Published Online:
- September 2007
- ISBN:
- 9780199202973
- eISBN:
- 9780191707919
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780199202973.003.0005
- Subject:
- Mathematics, Applied Mathematics

This chapter considers a number of bounds that complement the study so far, which was centred on upper bounds. The first section concerns the existence of lower bounds for non-negative solutions. ... More

## General Physiological Principles

*J. Eduardo P. W. Bicudo, William A. Buttemer, Mark A. Chappell, James T. Pearson, and Claus Bech*

### in Ecological and Environmental Physiology of Birds

- Published in print:
- 2010
- Published Online:
- May 2010
- ISBN:
- 9780199228447
- eISBN:
- 9780191711305
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780199228447.003.0002
- Subject:
- Biology, Ornithology

Birds show a number of structural and functional adaptations that are characteristic of the group as a whole and independent of the ability to fly. This chapter explores some basic physical and ... More

## Adaptations: Living in Specific Environments

*J. Eduardo P. W. Bicudo, William A. Buttemer, Mark A. Chappell, James T. Pearson, and Claus Bech*

### in Ecological and Environmental Physiology of Birds

- Published in print:
- 2010
- Published Online:
- May 2010
- ISBN:
- 9780199228447
- eISBN:
- 9780191711305
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780199228447.003.0005
- Subject:
- Biology, Ornithology

Birds are found in essentially all terrestrial environments, from lush tropical forests to barren deserts and polar regions, from the oceans to the highest mountains. This chapter describes how birds ... More

## Lethal temperature limits

*Steven L. Chown and Sue W. Nicolson*

### in Insect Physiological Ecology: Mechanisms and Patterns

- Published in print:
- 2004
- Published Online:
- September 2007
- ISBN:
- 9780198515494
- eISBN:
- 9780191705649
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780198515494.003.0005
- Subject:
- Biology, Animal Biology

Temperature change has an effect on many physiological processes and insects frequently evolve strategies to overcome the rate, sub-lethal or lethal effects of temperature variation. This chapter ... More