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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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