Read e-book online Applied Partial Differential Equations:: A Visual Approach PDF

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By Peter Markowich

This booklet provides chosen themes in technological know-how and engineering from an applied-mathematics perspective. The defined typical, socioeconomic, and engineering phenomena are modeled by way of partial differential equations that relate country variables equivalent to mass, speed, and effort to their spatial and temporal diversifications. quite often, those equations are hugely nonlinear; in lots of instances they're structures, and so they signify demanding situations even for the main sleek and complex mathematical and numerical-analytic innovations. the chosen issues mirror the longtime clinical pursuits of the writer. They contain flows of fluids and gases, granular-material flows, organic techniques resembling trend formation on animal skins, kinetics of rarified gases, loose 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 uncomplicated mathematical houses. the writer illustrates each one bankruptcy by means of a sequence of his personal top of the range pictures, which show 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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