Download e-book for kindle: Applied Partial Differential Equations:: A Visual Approach by Peter Markowich

By Peter Markowich

This publication provides chosen issues in technological know-how and engineering from an applied-mathematics viewpoint. The defined usual, socioeconomic, and engineering phenomena are modeled via partial differential equations that relate nation variables resembling mass, pace, and effort to their spatial and temporal adaptations. more often than not, those equations are hugely nonlinear; in lots of circumstances they're platforms, and so they characterize demanding situations even for the main glossy and complicated mathematical and numerical-analytic recommendations. the chosen subject matters replicate the longtime medical pursuits of the writer. They contain flows of fluids and gases, granular-material flows, organic procedures equivalent to development formation on animal skins, kinetics of rarified gases, loose obstacles, semiconductor units, and socioeconomic procedures. each one subject is in brief brought in its clinical or engineering context, by way of a presentation of the mathematical versions within the type of partial differential equations with a dialogue in their easy mathematical homes. the writer illustrates each one bankruptcy by way of a sequence of his personal top of the range photos, which show 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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