An error was encountered while trying to add the item to the cart. Please try again.
Copy To Clipboard
Successfully Copied!
Classification of Radial Solutions Arising in the Study of Thermal Structures with Thermal Equilibrium or No Flux at the Boundary

Alfonso Castro Harvey Mudd College, Claremont, CA
Víctor Padrón Normandale Community College, Bloomington, MN
Available Formats:
Electronic ISBN: 978-1-4704-0590-8
Product Code: MEMO/208/976.E
List Price: $68.00 MAA Member Price:$61.20
AMS Member Price: $40.80 Click above image for expanded view Classification of Radial Solutions Arising in the Study of Thermal Structures with Thermal Equilibrium or No Flux at the Boundary Alfonso Castro Harvey Mudd College, Claremont, CA Víctor Padrón Normandale Community College, Bloomington, MN Available Formats:  Electronic ISBN: 978-1-4704-0590-8 Product Code: MEMO/208/976.E  List Price:$68.00 MAA Member Price: $61.20 AMS Member Price:$40.80
• Book Details

Memoirs of the American Mathematical Society
Volume: 2082010; 72 pp
MSC: Primary 35; 85; Secondary 80; 34;

The authors provide a complete classification of the radial solutions to a class of reaction diffusion equations arising in the study of thermal structures such as plasmas with thermal equilibrium or no flux at the boundary. In particular, their study includes rapidly growing nonlinearities, that is, those where an exponent exceeds the critical exponent. They describe the corresponding bifurcation diagrams and determine existence and uniqueness of ground states, which play a central role in characterizing those diagrams. They also provide information on the stability-unstability of the radial steady states.

• Chapters
• Introduction
• 1. Bifurcation diagrams
• 2. Oscillation properties
• 3. Ground states
• 4. Stability of thermal structures
• 5. Proof of main theorems
• 6. The degenerate case, $k=-1$
• 7. Appendix 1. The conservative case ($N=1$)
• 8. Appendix 2. Pohozaev Identity
• Requests

Review Copy – for reviewers who would like to review an AMS book
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
Volume: 2082010; 72 pp
MSC: Primary 35; 85; Secondary 80; 34;

The authors provide a complete classification of the radial solutions to a class of reaction diffusion equations arising in the study of thermal structures such as plasmas with thermal equilibrium or no flux at the boundary. In particular, their study includes rapidly growing nonlinearities, that is, those where an exponent exceeds the critical exponent. They describe the corresponding bifurcation diagrams and determine existence and uniqueness of ground states, which play a central role in characterizing those diagrams. They also provide information on the stability-unstability of the radial steady states.

• Chapters
• Introduction
• 1. Bifurcation diagrams
• 2. Oscillation properties
• 3. Ground states
• 4. Stability of thermal structures
• 5. Proof of main theorems
• 6. The degenerate case, $k=-1$
• 7. Appendix 1. The conservative case ($N=1$)
• 8. Appendix 2. Pohozaev Identity
Review Copy – for reviewers who would like to review an AMS book
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
Please select which format for which you are requesting permissions.