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An Accuracy Study of the Marguerre‐Vlasov Equations
Author(s) -
Gradowczyk Mario H.
Publication year - 1966
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/zamm.19660460502
Subject(s) - series (stratigraphy) , vlasov equation , class (philosophy) , mathematical analysis , mathematics , shallow water equations , simultaneous equations , point (geometry) , physics , differential equation , plasma , geometry , geology , computer science , paleontology , quantum mechanics , artificial intelligence
An accuracy study of the linearized Marguerre‐Vlasov equations is presented. For this purpose a system of equations for thin elastic shallow shells is obtained by means of a series expansion of Novozhilov's theory. these new equations for shallow shells are used as the departure point of the accurate analysis, which is given with the help of an order of magnitude analysis. This analysis shows that in general, good agreement with the more accurate equations should be expected. For a special class of shallow shells, however, the differences may be of importance.