Research Catalog

Title

Mathematical models in applied mechanics / A.B. Tayler.

Author

Tayler, Alan B.

Publication

Oxford : Clarendon Press, 1986.

Items in the Library & Off-site

Details

Description

viii, 280 pages : illustrations; 23 cm.

Series Statement

Oxford applied mathematics and computing science series

Uniform Title

Oxford applied mathematics and computing science series

Subject

• Differential equations, Partial > Numerical solutions
• Mechanics, Applied > Mathematical models
• mechanika > matematika > alkalmazás
• differenciálszámítás
• Équations aux dérivées partielles > Solutions numériques
• Mécanique appliquée > Modèles mathématiques
• Differential equations, Partial > Numerical solutions
• Mechanics, Applied > Mathematical models
• Angewandte Physik
• Mathematische Physik
• Partielle Differentialgleichung
• Mécanique appliquée
• Applied mechanics Mathematical models: Partial differential equations

Note

• Includes index.

Bibliography (note)

• Bibliography: p. [269]-271.

Contents

• Problem Formulation -- Normalization of the problem -- Perturbation procedures -- Furnace reaction analysis -- Analytical methods for ordinary differential equations -- Classical analogies -- Wave Motion -- Transverse waves on a stretched string -- Pantograph dynamics I, periodic motion -- Second-order hyperbolic equations and weak solutions -- Pantograph dynamics II -- Linear hyperbolic systems in two independent variables -- A regenerative heat exchanger -- Multiple reflections and use of transforms -- Short circuit in a transformer -- Wave motion with two or more space variables -- Submarine detection -- Waveguides and dispersion -- Coal seam exploration -- Quasi-linear systems -- Flow of granular material in a hopper -- Elliptic Problems -- Potential theory -- Current flow between two plates joined by spigots -- Variational methods and variational inequalities -- Electrochemical painting -- Free-boundary problems -- Percolation in a sand dune -- Application of complex variable methods -- Wave reflection from a visco-elastic raft -- Quasi-static continuum models -- The hot rolling of steel -- Diffusion -- The diffusion equation -- Somke dispersion from a high chimney -- Stefan problems -- Welding of two steel plates -- Weak solutions -- Dendritic growth -- Diffusion and convection -- The shape of laser melt-pools -- Non-linear diffusion -- The spreading of an oil film -- Asymptotic Methods for Non-linear Problems -- Non-linear ordinary differential equations -- Resonance in a gearbox -- Thin layers and lubrication theory.
• The impregnation of paper by a resin -- Boundary layers -- Injection moulding -- Far-field solutions -- Seismic detection.

ISBN

• 0198535333
• 9780198535331
• 0198535414
• 9780198535416

LCCN

• 85022398
• 11635593

OCLC

• ocm12583576
• 12583576
• SCSB-9177570

Owning Institutions

Princeton University Library