The Resource Elliptic Partial Differential Equations : Volume 2: Reaction-Diffusion Equations, by Vitaly Volpert, (electronic resource)
Elliptic Partial Differential Equations : Volume 2: Reaction-Diffusion Equations, by Vitaly Volpert, (electronic resource)
Resource Information
The item Elliptic Partial Differential Equations : Volume 2: Reaction-Diffusion Equations, by Vitaly Volpert, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in European University Institute.This item is available to borrow from 1 library branch.
Resource Information
The item Elliptic Partial Differential Equations : Volume 2: Reaction-Diffusion Equations, by Vitaly Volpert, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in European University Institute.
This item is available to borrow from 1 library branch.
- 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 anaylsis 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
- Language
- eng
- Extent
- XVIII, 784 pages 44 illustrations, 17 illustrations in color.
- 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
- Isbn
- 9783034808132
- Label
- Elliptic Partial Differential Equations : Volume 2: Reaction-Diffusion Equations
- Title
- Elliptic Partial Differential Equations
- Title remainder
- Volume 2: Reaction-Diffusion Equations
- Statement of responsibility
- by Vitaly Volpert
- 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 anaylsis 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
- Cataloging source
- IT-FiEUI
- http://library.link/vocab/creatorName
- Volpert, Vitaly
- Image bit depth
- 0
- Literary form
- non fiction
- http://library.link/vocab/relatedWorkOrContributorName
- SpringerLink (Online service)
- Series statement
-
- Monographs in Mathematics,
- Springer eBooks
- Series volume
- 104
- http://library.link/vocab/subjectName
-
- Mathematics
- Differential equations, Partial
- Label
- Elliptic Partial Differential Equations : Volume 2: Reaction-Diffusion Equations, by Vitaly Volpert, (electronic resource)
- Antecedent source
- mixed
- Carrier category
- online resource
- Carrier category code
-
- cr
- Carrier MARC source
- rdacarrier.
- Color
- not applicable
- 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
- Control code
- 978-3-0348-0813-2
- Dimensions
- unknown
- Extent
- XVIII, 784 pages 44 illustrations, 17 illustrations in color.
- File format
- multiple file formats
- Form of item
- electronic
- Governing access note
- Use of this electronic resource may be governed by a license agreement which restricts use to the European University Institute community. Each user is responsible for limiting use to individual, non-commercial purposes, without systematically downloading, distributing, or retaining substantial portions of information, provided that all copyright and other proprietary notices contained on the materials are retained. The use of software, including scripts, agents, or robots, is generally prohibited and may result in the loss of access to these resources for the entire European University Institute community
- Isbn
- 9783034808132
- Level of compression
- uncompressed
- Media category
- computer
- Media MARC source
- rdamedia.
- Media type code
-
- c
- Other control number
- 10.1007/978-3-0348-0813-2
- Other physical details
- online resource.
- Quality assurance targets
- absent
- Reformatting quality
- access
- Specific material designation
- remote
- System control number
- (OCoLC)1048157342
- Label
- Elliptic Partial Differential Equations : Volume 2: Reaction-Diffusion Equations, by Vitaly Volpert, (electronic resource)
- Antecedent source
- mixed
- Carrier category
- online resource
- Carrier category code
-
- cr
- Carrier MARC source
- rdacarrier.
- Color
- not applicable
- 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
- Control code
- 978-3-0348-0813-2
- Dimensions
- unknown
- Extent
- XVIII, 784 pages 44 illustrations, 17 illustrations in color.
- File format
- multiple file formats
- Form of item
- electronic
- Governing access note
- Use of this electronic resource may be governed by a license agreement which restricts use to the European University Institute community. Each user is responsible for limiting use to individual, non-commercial purposes, without systematically downloading, distributing, or retaining substantial portions of information, provided that all copyright and other proprietary notices contained on the materials are retained. The use of software, including scripts, agents, or robots, is generally prohibited and may result in the loss of access to these resources for the entire European University Institute community
- Isbn
- 9783034808132
- Level of compression
- uncompressed
- Media category
- computer
- Media MARC source
- rdamedia.
- Media type code
-
- c
- Other control number
- 10.1007/978-3-0348-0813-2
- Other physical details
- online resource.
- Quality assurance targets
- absent
- Reformatting quality
- access
- Specific material designation
- remote
- System control number
- (OCoLC)1048157342
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<div class="citation" vocab="http://schema.org/"><i class="fa fa-external-link-square fa-fw"></i> Data from <span resource="http://link.library.eui.eu/portal/Elliptic-Partial-Differential-Equations--Volume/DpDu1zSOQnI/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.library.eui.eu/portal/Elliptic-Partial-Differential-Equations--Volume/DpDu1zSOQnI/">Elliptic Partial Differential Equations : Volume 2: Reaction-Diffusion Equations, by Vitaly Volpert, (electronic resource)</a></span> - <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.library.eui.eu/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.library.eui.eu/">European University Institute</a></span></span></span></span></div>
