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Exact Simple Waves on Shear Flows in a Compressible Barotropic Medium
Author(s) -
Sachdev P. L.,
Philip Varughese
Publication year - 1988
Publication title -
studies in applied mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.164
H-Index - 46
eISSN - 1467-9590
pISSN - 0022-2526
DOI - 10.1002/sapm1988793193
Subject(s) - barotropic fluid , simple (philosophy) , compressibility , nonlinear system , simple shear , compressible flow , shear waves , classical mechanics , shear (geology) , mathematical analysis , mechanics , mathematics , exact solutions in general relativity , physics , geology , shear stress , petrology , philosophy , epistemology , quantum mechanics
Self‐similar solutions describing simple waves on shear flows in a finite compressible barotropic atmosphere are found. These include the simple waves on shear flows in water as a special case. By making use of a number of transformations it becomes possible to write these solutions in an exact form. This form, though not explicit, is similar to the incomplete Beta function which seems to characterize this class of nonlinear physical problems.