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Generalized Solutions to the Equations of Compressible Bingham Flows
Author(s) -
Basov I.V.,
Shelukhin V.V.
Publication year - 1999
Publication title -
zamm ‐ journal of applied mathematics and mechanics / zeitschrift für angewandte mathematik und mechanik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 51
eISSN - 1521-4001
pISSN - 0044-2267
DOI - 10.1002/(sici)1521-4001(199903)79:3<185::aid-zamm185>3.0.co;2-n
Subject(s) - compressibility , bingham plastic , mathematics , motion (physics) , compressible flow , joint (building) , mathematical analysis , classical mechanics , physics , mechanics , rheology , engineering , thermodynamics , structural engineering
A notion of a generalized solution is introduced for the one‐dimensional equations of Bingham compressible flows. It makes possible to describe a joint motion of rigid and fluid zones without incorporation of free boundaries corresponding to fluid‐rigid interfaces. A global unique solvability is proved. Examples are given to show the formation of fluid and rigid zones.