From the pedagogic viewpoint it seems worthwhile to show that the Navier-Stokes equations, which form the basis of all systematic texts, can be employed for useful practical applications beyond the elementary problems of laminar flow in pipes and Stokes law for the motion of a single particle.
To uncover the cause of this energy loss and to explore potential remedies, the more elementary problem of a sinusoid with random frequency is used herein to simulate the periodic response of an uncertain system.
In [1], the following elementary problem was posed, showing that for, (1.1).
Only the most elementary problems have been solved analytically in this field". (On the Principles of Large-Scale Computing Machines).
A view of the approach is suggested by an important account of engineering in the aeronautical industry: in particular, the problem classes captured by elementary problem frames are likened to those solved in established engineering branches by normal, rather than radical, design.
In the sense of Section 2.6, it is an elementary problem to evaluate the S-generalized surface content of subsets of S according to (8) in the present case because we are dealing here with a set the ipf of which is just the indicator function of an interval.
To validate the adopted fluid model, an elementary problem of wave propagation in a layer of fluid is considered.
In the context of stable model pairs, it is Proposition 3.8 (ii) that gives a solution to the elementary gluing problem mentioned in Sect.
