Singular perturbations and hysteresis / edited by Michael P. Mortell ... [et al.].

Format:

Book

Contributor:

Mortell, Michael P.

Society for Industrial and Applied Mathematics.

Language:

English

Subjects (All):

Singular perturbations (Mathematics).

Differential equations.

Hysteresis.

Hysteresis (Economics).

Physical Description:

1 electronic text (xiv, 344 p.) : ill., digital file.

Place of Publication:

Philadelphia, Pa. : Society for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104), 2005.

Language Note:

English

System Details:

Mode of access: World Wide Web.

System requirements: Adobe Acrobat Reader.

Summary:

This book brings together many important recent developments in the analysis of singular perturbation and hysteresis phenomena in an accessible and reasonably comprehensive fashion. To bridge a gap between practitioners of these phenomena, the editors conducted a workshop in April 2002 at University College Cork to provide a forum for experts in both fields to share their interests and knowledge. For this book, the editors have compiled research from those practitioners in areas such as reacting systems, semiconductor lasers, shock phenomena in economic modeling, and fluid mechanics, all with an emphasis on hysteresis and singular perturbations.

Contents:

1. A naive view of time relaxation and hysteresis / A. Pokrovskii, V. Sobolev

2. Frustration minimization, hysteresis and the El Farol problem / R. Cross ... [et al.]

3. Hysteresis in singularly perturbed problems / P. Krejčí

4. Combined asymptotic expansions / E. Benoît, A. Fruchard, A. El Hamidi

5. Contrast structures of alternating type / A. Vasilieva

6. Multi-dimensional internal layers / N. Nefedov

7. Geometry of singular perturbations : critical cases / V. Sobolev

8. Black swans and canards in laser and combustion models / E. Shchepakina, V. Sobolev

9. Multi-scale analysis of pressure driven flames / V. Bykov, I. Goldfarb, V. Golʹdshtein

10. Split-hyperbolicity, hysteresis and Lang-Kobayashi equations / A. Pokrovskii, O. Rasskazov, R. Studdert.

Notes:

Bibliographic Level Mode of Issuance: Monograph

Includes bibliographical references and index.

Title from title screen, viewed 10/20/2010.

Description based on title page of print version.

ISBN:

0-89871-786-8

Publisher Number:

OT95 siam

OT95 SIAM