 |
|
|
Item Details
| Title:
|
GEOMETRIC ASYMPTOTICS FOR NONLINEAR PDE
|
| By: |
V. P. Maslov |
| Format: |
Hardback |
| List price:
|
£144.00 |
|
We currently do not stock this item, please contact the publisher directly for
further information.
|
|
|
|
|
|
| ISBN 10: |
0821821091 |
| ISBN 13: |
9780821821091 |
| Publisher: |
AMERICAN MATHEMATICAL SOCIETY |
| Pub. date: |
15 July, 2001 |
| Series: |
Translations of Mathematical Monographs Reprint No. 202 |
| Pages: |
285 |
| Description: |
Proposes a method of asymptotic analysis of solutions that can be applied in the case of the so-called 'smoothed shock waves', ie, nonlinear waves that vary fast in a neighborhood of the front and slowly outside of this neighborhood. This book presents many examples originating from problems of hydrodynamics, nonlinear optics, and plasma physics. |
| Synopsis: |
The study of asymptotic solutions to nonlinear systems of partial differential equations is a very powerful tool in the analysis of such systems and their applications in physics, mechanics, and engineering. In the present book, the authors propose a new powerful method of asymptotic analysis of solutions, which can be successfully applied in the case of the so-called 'smoothed shock waves', i.e., nonlinear waves which vary fast in a neighborhood of the front and slowly outside of this neighborhood. The proposed method, based on the study of geometric objects associated to the front, can be viewed as a generalization of the geometric optics (or WKB) method for linear equations. This volume offers to a broad audience a simple and accessible presentation of this new method.The authors present many examples originating from problems of hydrodynamics, nonlinear optics, plasma physics, mechanics of continuum, and theory of phase transitions (problems of free boundary). In the examples, characterized by smoothing of singularities due to dispersion or diffusion, asymptotic solutions in the form of distorted solitons, kinks, breathers, or smoothed shock waves are constructed.By a unified rule, a geometric picture is associated with each physical problem that allows for obtaining tractable asymptotic formulas and provides a geometric interpretation of the physical process. Included in this book are many figures illustrating the various physical effects. |
| Illustrations: |
bibliography |
| Publication: |
US |
| Imprint: |
American Mathematical Society |
| Returns: |
Returnable |
|
|
|
 |
|
|
|
|
|
Little Worried Caterpillar (PB)
Little Green knows she''s about to make a big change - transformingfrom a caterpillar into a beautiful butterfly. Everyone is VERYexcited! But Little Green is VERY worried. What if being a butterflyisn''t as brilliant as everyone says?Join Little Green as she finds her own path ... with just a littlehelp from her friends.
|
|
All the Things We Carry PB
What can you carry?A pebble? A teddy? A bright red balloon? A painting you''ve made?A hope or a dream?This gorgeous, reassuring picture book celebrates all the preciousthings we can carry, from toys and treasures to love and hope. With comforting rhymes and fabulous illustrations, this is a warmhug of a picture book.
|
|
|
|