Dynamics of Internal Layers and Diffusive Interfaces

Paul C. Fife (Autor)

Buch | Softcover

99 Seiten

1988
Society for Industrial & Applied Mathematics,U.S. (Verlag)
978-0-89871-225-4 (ISBN)

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Offers a detailed and systematic treatment of flames, as well as internal layer dynamics “including curvature effects”. Mathematicians and natural scientists interested in interfacial phenomena, especially flame theory, the mathematics of excitable media, electrophoresis, and phase change problems, will find this book exceptionally useful.

Interfacial phenomena are commonplace in physics, chemistry, biology, and in various disciplines bridging these fields. They occur whenever a continuum is present which can exist in at least two different chemical or physical ""states"", and there is some mechanism which generates or enforces a spatial separation between these states. The separation boundary is then called an interface. In the examples studied here, the separation boundary, and its internal structure, result from the balance between two opposing tendencies: a diffusive effect which attempts to mix and smooth the properties of the material, and a physical or chemical mechanism which works to drive it to one or the other pure state.

This volume is unique in that the treatment of flames, as well as internal layer dynamics ""including curvature effects"", is more detailed and systematic than in most other publications. Mathematicians and natural scientists interested in interfacial phenomena, especially flame theory, the mathematics of excitable media, electrophoresis, and phase change problems, will find Dynamics of Internal Layers and Diffusive Interfaces exceptionally useful.

Internal Layers: Dynamics of internal layers
Bistable fronts in an inhomogeneous medium
Phase field models
Flame Theory: Activation energy asymptotics for a one step reaction
Stability Analysis of Simple Flames
Flames due to Chain Branching
Complex Chemistry
Electrophoresis: Models and problems
Isotachophoresis
Isoelectric focusing
Waves in Excitable and Self Oscillatory Media: One dimensional problems
Inhomogeneous media
Curvature, corners, and twists
Rotating waves.

Erscheint lt. Verlag	31.12.1988
Reihe/Serie	CBMS-NSF Regional Conference Series in Applied Mathematics
Verlagsort	New York
Sprache	englisch
Maße	152 x 229 mm
Gewicht	188 g
Themenwelt	Mathematik / Informatik ► Mathematik ► Angewandte Mathematik
	Naturwissenschaften ► Physik / Astronomie ► Mechanik
	Naturwissenschaften ► Physik / Astronomie ► Strömungsmechanik
	Technik ► Maschinenbau
ISBN-10	0-89871-225-4 / 0898712254
ISBN-13	978-0-89871-225-4 / 9780898712254
Zustand	Neuware