Get Applied Partial Differential Equations:: A Visual Approach PDF

By Peter Markowich

ISBN-10: 3540346457

ISBN-13: 9783540346456

ISBN-10: 3662518120

ISBN-13: 9783662518120

This booklet offers chosen issues in technological know-how and engineering from an applied-mathematics standpoint. The defined usual, socioeconomic, and engineering phenomena are modeled via partial differential equations that relate kingdom variables comparable to mass, speed, and effort to their spatial and temporal adaptations. normally, those equations are hugely nonlinear; in lots of instances they're platforms, they usually symbolize demanding situations even for the main sleek and complicated mathematical and numerical-analytic ideas. the chosen issues replicate the longtime clinical pursuits of the writer. They comprise flows of fluids and gases, granular-material flows, organic techniques resembling development formation on animal skins, kinetics of rarified gases, unfastened limitations, semiconductor units, and socioeconomic techniques. every one subject is in short brought in its clinical or engineering context, by means of a presentation of the mathematical types within the kind of partial differential equations with a dialogue in their easy mathematical houses. the writer illustrates each one bankruptcy through a sequence of his personal top quality pictures, which display that partial differential equations are robust instruments for modeling a wide number of phenomena influencing our day-by-day lives.

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Applied Partial Differential Equations:: A Visual Approach by Peter Markowich

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