Spatial Patterns

Name: Spatial Patterns
Brand: Springer-Verlag New York Inc.
SKU: 9781461266280
Price: 19879 HUF
Availability: InStock

Higher Order Models in Physics and Mechanics

Szerző: L. A. Peletier, W. C. Troy

Nyelv:

Kötés: Puha kötésű

Kiadó: Springer-Verlag New York Inc.

Elérhetőség: Beszállítói készleten

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The study of spatial patterns in extended systems, and their evolution with time, poses challenging...

Információk a könyvről

Szerző

L. A. Peletier, W. C. Troy

Nyelv

Angol

Kötés

Könyv - Puha kötésű

Kiadva

2012

oldal

343

EAN

9781461266280

ISBN

1461266289

Enbook ID

06794850

Kiadó

Springer-Verlag New York Inc.

Súly

557

Méretek

155 x 235 x 20

Teljes leírás

The study of spatial patterns in extended systems, and their evolution with time, poses challenging questions for physicists and mathematicians alike. Waves on water, pulses in optical fibers, periodic structures in alloys, folds in rock formations, and cloud patterns in the sky: patterns are omnipresent in the world around us. Their variety and complexity make them a rich area of study. In the study of these phenomena an important role is played by well-chosen model equations, which are often simpler than the full equations describing the physical or biological system, but still capture its essential features. Through a thorough analysis of these model equations one hopes to glean a better under standing of the underlying mechanisms that are responsible for the formation and evolution of complex patterns. Classical model equations have typically been second-order partial differential equations. As an example we mention the widely studied Fisher-Kolmogorov or Allen-Cahn equation, originally proposed in 1937 as a model for the interaction of dispersal and fitness in biological populations. As another example we mention the Burgers equation, proposed in 1939 to study the interaction of diffusion and nonlinear convection in an attempt to understand the phenomenon of turbulence. Both of these are nonlinear second-order diffusion equations.

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Spatial Patterns

Higher Order Models in Physics and Mechanics

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