Dynamical Theory for Treating the Motion of Cold And Warm Fronts in the Atmosphe
Dynamical Theory for Treating the Motion of Cold And Warm Fronts in the Atmosphe
J J Stoker
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) Neverthe- less, the good qualitative agreement with the observed phe- nomena is an indication that the three differential equa- tions fiornishing the basic approximate theory from which we start--i. E. Those of our Problem III--have in them the pos- sibility of furnishing reasonable results. The author's method of treating the three basic differ- ential equations is quite different from that of VJhitham, but it \inf ortunately involves a further assumption which has the effect of limiting the... applicability of the theory. The guiding principle was that differential equations in only two independent variables should be obtained in order to make niAmerical computations feasible. On the other hand, the nuaber of dependent variables need not be so ruthlessly limited. Finally, it is highly desirable to obtain differ- ential equations of hyperbolic type in order that the method of characteristics can be employed as an aid in computing solutions. These objectives can be attained by making quite a few further simplifying assumptions with respect to the mechanics of the situation.
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