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

By Peter Markowich

This publication offers chosen issues in technological know-how and engineering from an applied-mathematics standpoint. The defined ordinary, socioeconomic, and engineering phenomena are modeled through partial differential equations that relate country variables reminiscent of mass, pace, and effort to their spatial and temporal diversifications. often, those equations are hugely nonlinear; in lots of instances they're platforms, and so they characterize demanding situations even for the main smooth and complicated mathematical and numerical-analytic ideas. the chosen themes replicate the longtime clinical pursuits of the writer. They comprise flows of fluids and gases, granular-material flows, organic strategies reminiscent of development formation on animal skins, kinetics of rarified gases, loose limitations, semiconductor units, and socioeconomic methods. each one subject is in short brought in its clinical or engineering context, through 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 via a sequence of his personal fine quality images, which reveal that partial differential equations are strong 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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