The Mathematics of Diffusion (CBMS-NSF Regional Conference Series in Applied Mathematics)

The Mathematics of Diffusion (CBMS-NSF Regional Conference Series in Applied Mathematics)

By: Wei-Ming Ni (author)Paperback

Up to 1 WeekUsually despatched within 1 week

Description

Diffusion has been used extensively in many scientific disciplines to model a wide variety of phenomena. The Mathematics of Diffusion focuses on the qualitative properties of solutions to nonlinear elliptic and parabolic equations and systems in connection with domain geometry, various boundary conditions, the mechanism of different diffusion rates, and the interaction between diffusion and spatial heterogeneity. The book systematically explores the interplay between different diffusion rates from the viewpoint of pattern formation, particularly Turing's diffusion-driven instability in both homogeneous and heterogeneous environments, and the roles of random diffusion, directed movements and spatial heterogeneity in the classical Lotka-Volterra competition systems. Interspersed throughout the book are many simple, fundamental and important open problems for readers to investigate.

About Author

Wei-Ming Ni holds a joint appointment as the Director of the Center for Partial Differential Equations at East China Normal University in Shanghai and as Professor of Mathematics at the University of Minnesota. His research interests include the qualitative properties of solutions to nonlinear elliptic and parabolic equations.

Contents

Preface; 1. Introduction: the heat equation; 2. Dynamics of general reaction-diffusion equations and systems; 3. Qualitative properties of steady states of reaction-diffusion equations and systems; 4. Diffusion in heterogeneous environments: 2 x 2 Lotka-Volterra competition systems; 5. Beyond diffusion: directed movements, taxis, and cross-diffusion; Bibliography; Index.

Product Details

  • ISBN13: 9781611971965
  • Format: Paperback
  • Number Of Pages: 128
  • ID: 9781611971965
  • weight: 220
  • ISBN10: 1611971969

Delivery Information

  • Saver Delivery: Yes
  • 1st Class Delivery: Yes
  • Courier Delivery: Yes
  • Store Delivery: Yes

Prices are for internet purchases only. Prices and availability in WHSmith Stores may vary significantly

Close