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AuthorOckendon, Hilary. author
TitleInviscid Fluid Flows [electronic resource] / by Hilary Ockendon, Alan B. Tayler
ImprintNew York, NY : Springer New York : Imprint: Springer, 1983
Connect tohttp://dx.doi.org/10.1007/978-1-4612-1138-9
Descript VIII, 147 p. 1 illus. online resource

SUMMARY

Applied Mathematics is the art of constructing mathematical models of observed phenomena so that both qualitative and quantitative results can be predicted by the use of analytical and numerical methods. Theoretical Mechanics is concerned with the study of those phenomena which can be obยญ served in everyday life in the physical world around us. It is often characterised by the macroscopic approach which allows the concept of an element or particle of material, small compared to the dimensions of the phenomena being modelled, yet large compared to the molecular size of the material. Then atomic and molecular phenomena appear only as quantities averaged over many molecules. It is therefore natural that the mathematiยญ cal models derived are in terms of functions which are continuous and well behaved, and that the analytical and numerical methods required for their development are strongly dependent on the theory of partial and ordinary differential equations. Much pure research in Mathematics has been stimuยญ lated by the need to develop models of real situations, and experimental observations have often led to important conjectures and theorems in Analysis. It is therefore important to present a careful account of both the physical or experimental observations and the mathematical analysis used. The authors believe that Fluid Mechanics offers a rich field for ilยญ lustrating the art of mathematical modelling, the power of mathematical analysis and the stimulus of applications to readily observed phenomena


Physics Fluids Physics Fluid- and Aerodynamics Theoretical Mathematical and Computational Physics



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