By S. K. Nechaev
A survey of analytical and numerical options acceptable to the outline of fluid movement, with an emphasis at the most generally used recommendations showing the simplest functionality. Analytical and numerical recommendations to hyperbolic structures of wave equations are the first concentration of the textual content. furthermore, many attention-grabbing wave phenomena in fluids are thought of utilizing examples similar to acoustic waves, the emission of air toxins, magnetohydrodynamic waves within the sunlight corona, sun wind interplay with the planet Venus, and ion-acoustic solitons
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E. the Potts partition function, has to be averaged over all possible realizations of the pattern disorder. Such situation can be reached as follows: take ensemble of open p a t h s in thermodynamic equilibrium and find the mean value of the topological invariants (K(A)) or f[K] of a knot obtained by random path closure. As it is shown below, t h a t calculation of the mean values of topo logical invariants allows to extract rather rough but nontrivial information about the knot statistics. 1 .