Queen Mary College, University of London, Wiley & Sons, New-York,
Toronto, 1971, 440 pp.
In the postwar period the number of problems which employ a transport equation of one type or another have increased enormously. The areas of most importance in this respect are plasma physics, radiative transfer, rarefied gas dynamics and neutron transport theory. Whilst neutron transport clearly deals with neutral particles, plasma physics and some aspects of radiative transfer and rarefied gas flow, involve charged particles. To write a book on all four of these topics would be a mammoth task indeed and for this reason it has been decided to collect together, under a single cover, those mathematical techniques which have been found useful for solving the Boltzmann transport equation for neutral particles. These methods are not exclusively restricted to neutral particles but the emphasis in this book is directed to this particular aspect.
Contents.
Preface.
1 The general problem of particle transport.
2 The Boltzmann equation for gas atoms and neutrons.
3 Boundary conditions.
4 Scattering keels.
5 Some basic problems in neutron transport and rarefied gas dynamics.
6 The integral form of the transport equation in plane, spherical and cylindrical geometries.
7 Exact solutions of model problems.
8 Eigenvalue problems in transport theory.
9 Collision probability methods.
10 Variational methods.
11 Polynomial approximations.
Index
In the postwar period the number of problems which employ a transport equation of one type or another have increased enormously. The areas of most importance in this respect are plasma physics, radiative transfer, rarefied gas dynamics and neutron transport theory. Whilst neutron transport clearly deals with neutral particles, plasma physics and some aspects of radiative transfer and rarefied gas flow, involve charged particles. To write a book on all four of these topics would be a mammoth task indeed and for this reason it has been decided to collect together, under a single cover, those mathematical techniques which have been found useful for solving the Boltzmann transport equation for neutral particles. These methods are not exclusively restricted to neutral particles but the emphasis in this book is directed to this particular aspect.
Contents.
Preface.
1 The general problem of particle transport.
2 The Boltzmann equation for gas atoms and neutrons.
3 Boundary conditions.
4 Scattering keels.
5 Some basic problems in neutron transport and rarefied gas dynamics.
6 The integral form of the transport equation in plane, spherical and cylindrical geometries.
7 Exact solutions of model problems.
8 Eigenvalue problems in transport theory.
9 Collision probability methods.
10 Variational methods.
11 Polynomial approximations.
Index