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## 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

## Scale Matters

*Christopher Pincock*

### in Mathematics and Scientific Representation

- Published in print:
- 2012
- Published Online:
- May 2012
- ISBN:
- 9780199757107
- eISBN:
- 9780199932313
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780199757107.003.0005
- Subject:
- Philosophy, Philosophy of Science

This chapter considers the complicated interactions between mathematics and the scale of a scientific representation. Some aspects of scale echo the contributions found in chapters 3 and 4. Others ... More

## FURTHER 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/9780198569039.003.0021
- Subject:
- Mathematics, Mathematical Physics

This chapter presents a collection of new examples taken from different branches of science. The first examples come from fluid dynamics, starting with the well-known model of viscous droplets ... More

## Introduction

*Anatoly I. Ruban*

### in Fluid Dynamics: Part 3 Boundary Layers

- Published in print:
- 2017
- Published Online:
- January 2018
- ISBN:
- 9780199681754
- eISBN:
- 9780191761621
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/oso/9780199681754.003.0001
- Subject:
- Physics, Soft Matter / Biological Physics, Condensed Matter Physics / Materials

This book investigates high-Reynolds number flows, and analyses flows that can be described in the framework of Prandtl’s 1904 classical boundary-layer theory, including Blasius’s boundary layer on a ... More

## Fluid Dynamics: Part 3 Boundary Layers

*Anatoly I. Ruban*

- Published in print:
- 2017
- Published Online:
- January 2018
- ISBN:
- 9780199681754
- eISBN:
- 9780191761621
- Item type:
- book

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/oso/9780199681754.001.0001
- Subject:
- Physics, Soft Matter / Biological Physics, Condensed Matter Physics / Materials

This is Part 3 of a book series on fluid dynamics. This is designed to give a comprehensive and coherent description of fluid dynamics, starting with chapters on classical theory suitable for an ... More

## Boundary Layers

*S. G. Rajeev*

### in Fluid Mechanics: A Geometrical Point of View

- Published in print:
- 2018
- Published Online:
- October 2018
- ISBN:
- 9780198805021
- eISBN:
- 9780191843136
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/oso/9780198805021.003.0007
- Subject:
- Physics, Soft Matter / Biological Physics, Condensed Matter Physics / Materials

It is found experimentally that all the components of fluid velocity (not just thenormal component) vanish at a wall. No matter how small the viscosity, the large velocity gradients near a wall ... More

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