The Resource Elliptic partial differential equations, Volume 2, Reaction-diffusion equations, Vitaly Volpert

Elliptic partial differential equations, Volume 2, Reaction-diffusion equations, Vitaly Volpert

Label
Elliptic partial differential equations, Volume 2, Reaction-diffusion equations
Title
Elliptic partial differential equations
Title number
Volume 2
Title part
Reaction-diffusion equations
Statement of responsibility
Vitaly Volpert
Title variation
Reaction-diffusion equations
Creator
Author
Subject
Genre
Language
eng
Summary
If we had to formulate in one sentence what this book is about it might be "How partial differential equations can help to understand heat explosion, tumor growth or evolution of biological species". These and many other applications are described by reaction-diffusion equations. The theory of reaction-diffusion equations appeared in the first half of the last century. In the present time, it is widely used in population dynamics, chemical physics, biomedical modelling. The purpose of this book is to present the mathematical theory of reaction-diffusion equations in the context of their numerous applications. We will go from the general mathematical theory to specific equations and then to their applications. Mathematical analysis of reaction-diffusion equations will be based on the theory of Fredholm operators presented in the first volume. Existence, stability and bifurcations of solutions will be studied for bounded domains and in the case of travelling waves. The classical theory of reaction-diffusion equations and new topics such as nonlocal equations and multi-scale models in biology will be considered
Member of
Cataloging source
GW5XE
http://library.link/vocab/creatorDate
1958-
http://library.link/vocab/creatorName
Volpert, Vitaly A.
Dewey number
518/.64
Illustrations
illustrations
Index
index present
LC call number
QA377
Literary form
non fiction
Nature of contents
  • dictionaries
  • bibliography
NLM call number
Online Book
Series statement
Monographs in Mathematics,
Series volume
vol. 104
http://library.link/vocab/subjectName
  • Reaction-diffusion equations
  • Differential equations, Elliptic
  • Mathematics
  • Differential equations, Elliptic
  • Reaction-diffusion equations
Label
Elliptic partial differential equations, Volume 2, Reaction-diffusion equations, Vitaly Volpert
Link
https://ezproxy.lib.ou.edu/login?url=http://link.springer.com/10.1007/978-3-0348-0813-2
Instantiates
Publication
Copyright
Antecedent source
unknown
Bibliography note
Includes bibliographical references and index
Carrier category
online resource
Carrier category code
cr
Carrier MARC source
rdacarrier
Color
multicolored
Content category
text
Content type code
txt
Content type MARC source
rdacontent
Contents
I. Introduction to the theory of reaction-diffusion equations -- Chapter 1. Reaction-diffusion processes, models and applications -- Chapter 2. Methods of analysis -- Chapter 3. Reaction-diffusion problems in bounded domains.-Chapter 4. Reaction-diffusion problems on the whole axis -- II. Reaction-diffusion waves in cylinders -- Chapter 5. Monotone systems -- Chapter 6. Reaction-diffusion problems with convection -- Chapter 7. Reaction-diffusion systems with different diffusion coefficients -- Chapter 8. Nonlinear boundary conditions -- Chapter 9. Nonlocal reaction-diffusion equations -- Chapter 10. Multi-scale models in biology -- Bibliographical comments -- Concluding remarks -- Acknowledgements -- References -- Index
Dimensions
unknown
Extent
1 online resource (xviii, 784 pages)
File format
unknown
Form of item
online
Isbn
9783034808125
Level of compression
unknown
Media category
computer
Media MARC source
rdamedia
Media type code
c
Note
SpringerLink
Other control number
10.1007/978-3-0348-0813-2
Other physical details
illustrations (some color).
Quality assurance targets
not applicable
Reformatting quality
unknown
Sound
unknown sound
Specific material designation
remote
System control number
  • (OCoLC)880286427
  • (OCoLC)ocn880286427
Label
Elliptic partial differential equations, Volume 2, Reaction-diffusion equations, Vitaly Volpert
Link
https://ezproxy.lib.ou.edu/login?url=http://link.springer.com/10.1007/978-3-0348-0813-2
Publication
Copyright
Antecedent source
unknown
Bibliography note
Includes bibliographical references and index
Carrier category
online resource
Carrier category code
cr
Carrier MARC source
rdacarrier
Color
multicolored
Content category
text
Content type code
txt
Content type MARC source
rdacontent
Contents
I. Introduction to the theory of reaction-diffusion equations -- Chapter 1. Reaction-diffusion processes, models and applications -- Chapter 2. Methods of analysis -- Chapter 3. Reaction-diffusion problems in bounded domains.-Chapter 4. Reaction-diffusion problems on the whole axis -- II. Reaction-diffusion waves in cylinders -- Chapter 5. Monotone systems -- Chapter 6. Reaction-diffusion problems with convection -- Chapter 7. Reaction-diffusion systems with different diffusion coefficients -- Chapter 8. Nonlinear boundary conditions -- Chapter 9. Nonlocal reaction-diffusion equations -- Chapter 10. Multi-scale models in biology -- Bibliographical comments -- Concluding remarks -- Acknowledgements -- References -- Index
Dimensions
unknown
Extent
1 online resource (xviii, 784 pages)
File format
unknown
Form of item
online
Isbn
9783034808125
Level of compression
unknown
Media category
computer
Media MARC source
rdamedia
Media type code
c
Note
SpringerLink
Other control number
10.1007/978-3-0348-0813-2
Other physical details
illustrations (some color).
Quality assurance targets
not applicable
Reformatting quality
unknown
Sound
unknown sound
Specific material designation
remote
System control number
  • (OCoLC)880286427
  • (OCoLC)ocn880286427

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