Logo - springer
Slogan - springer

Mathematics - Dynamical Systems & Differential Equations | Nonlinear PDEs - Mathematical Models in Biology, Chemistry and Population Genetics

Nonlinear PDEs

Mathematical Models in Biology, Chemistry and Population Genetics

Ghergu, Marius, RADULESCU, Vicentiu

2012, XVIII, 394 p.

Available Formats:
eBook
Information

Springer eBooks may be purchased by end-customers only and are sold without copy protection (DRM free). Instead, all eBooks include personalized watermarks. This means you can read the Springer eBooks across numerous devices such as Laptops, eReaders, and tablets.

You can pay for Springer eBooks with Visa, Mastercard, American Express or Paypal.

After the purchase you can directly download the eBook file or read it online in our Springer eBook Reader. Furthermore your eBook will be stored in your MySpringer account. So you can always re-download your eBooks.

 
$99.00

(net) price for USA

ISBN 978-3-642-22664-9

digitally watermarked, no DRM

Included Format: PDF

download immediately after purchase


learn more about Springer eBooks

add to marked items

Hardcover
Information

Hardcover version

You can pay for Springer Books with Visa, Mastercard, American Express or Paypal.

Standard shipping is free of charge for individual customers.

 
$124.00

(net) price for USA

ISBN 978-3-642-22663-2

free shipping for individuals worldwide

usually dispatched within 3 to 5 business days


add to marked items

Softcover
Information

Softcover (also known as softback) version.

You can pay for Springer Books with Visa, Mastercard, American Express or Paypal.

Standard shipping is free of charge for individual customers.

 
$124.00

(net) price for USA

ISBN 978-3-642-26984-4

free shipping for individuals worldwide

usually dispatched within 3 to 5 business days


add to marked items

  • Foreword by Viorel Barbu
  • Methods developed can be applied to large classes of models arising in applications
  • Interdisciplinary dialogue between mathematics, biology, chemistry and population genetics​
The emphasis throughout the present volume is on the practical application of theoretical mathematical models helping to unravel the underlying mechanisms involved in processes from mathematical physics and biosciences. It has been conceived as a unique collection of abstract methods dealing especially with nonlinear partial differential equations (either stationary or evolutionary) that are applied to understand concrete processes involving some important applications related to phenomena such as: boundary layer phenomena for viscous fluids, population dynamics,, dead core phenomena, etc. It addresses researchers and post-graduate students working at the interplay between mathematics and other fields of science and technology and is a comprehensive introduction to the theory of nonlinear partial differential equations  and its main principles also presents their real-life applications in various contexts: mathematical physics, chemistry, mathematical biology, and population genetics. Based on the authors' original work, this volume provides an overview of the field, with examples suitable for researchers but also for graduate students entering research. The method of presentation appeals to readers with diverse backgrounds in partial differential equations and functional analysis. Each chapter includes detailed heuristic arguments, providing thorough motivation for the material developed later in the text. The content demonstrates in a firm way that partial differential equations can be used to address a large variety of phenomena occurring in and influencing our daily lives. The extensive reference list and index make this book a valuable resource for researchers working in a variety of fields and who are interested in phenomena modeled by nonlinear partial differential equations.​

Content Level » Research

Keywords » 35-02, 49-02, 92-02, 58-02, 37-02, 35Qxx - degenerate and singular phenomena - mathematical biology - partial differential equations - population genetics

Related subjects » Analysis - Dynamical Systems & Differential Equations - Mathematics

Table of contents / Sample pages 

​Viorel Barbu: Foreword.- 1.Overview of merhods in PDEs.- 2.Liouville Type Theorems for Elliptic Operators in Divergence Form.- 3.Blow-up Boundary Solutions.- 4.Singular Lane-Emden-Fowler Equations and Systems.- 5.Singular Elliptic Inequalities in Exterior Domains.- 6.Two Quasilinear Elliptic Problems.- 7.Some Classes of Polyharmonic Problems.- 8.Large Time Behavior of Solutions for Degenerate Parabolic Equations.- 9.Rection-Diffusion Systems in Chemistry.- 10.Pattern Formation and Gierer-Meinhardt Model.- Appendices.- References.- Index.    

Popular Content within this publication 

 

Articles

Read this Book on Springerlink

Services for this book

New Book Alert

Get alerted on new Springer publications in the subject area of Partial Differential Equations.