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## Homework Statement

I've been reading some introductory PDE books and they always seem to motivate the search for solutions of the first order quasilinear PDE by the method of characteristics, by introducing a flow model; i was thinking, could someone give an example of a phenomenon modeled by a first order quasi-linear partial differential equation, other than a flow model? How does one apply this type of equations to chemistry, or industry, or even economics.

It would be most preferable to have the derivation of the model.

Thank you in advance.