A new technique in constructing closed-form solutions for nonlinear PDEs appearing in fluid mechanics and gas dynamics

Panayotounakos, DE

dc.contributor.author	Panayotounakos, DE	en
dc.date.accessioned	2014-03-01T01:11:36Z
dc.date.available	2014-03-01T01:11:36Z
dc.date.issued	1996	en
dc.identifier.issn	1024-123X	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/11737
dc.subject	Fluids	en
dc.subject	Nonlinear PDEs	en
dc.subject	Soft solutions	en
dc.subject.classification	Engineering, Multidisciplinary	en
dc.subject.classification	Mathematics, Interdisciplinary Applications	en
dc.title	A new technique in constructing closed-form solutions for nonlinear PDEs appearing in fluid mechanics and gas dynamics	en
heal.type	journalArticle	en
heal.identifier.primary	10.1155/S1024123X96000361	en
heal.identifier.secondary	http://dx.doi.org/10.1155/S1024123X96000361	en
heal.language	English	en
heal.publicationDate	1996	en
heal.abstract	We develop a new unique technique in constructing closed-form solutions for several nonlinear partial differential systems appearing in fluid mechanics and gas dynamics. The obtained solutions include fewer arbitrary functions than needed for general solutions, fact that permits us to specify them according to the initial state, or the geometry, of each specific problem under consideration. In order to apply the before mentioned technique we construct closed-form solutions concerning the gas-dynamic equations with constant pressure, the dynamic equations of an ideal gas in isentropic flow, and the two-dimensional incompressible boundary layer flow.	en
heal.publisher	GORDON BREACH SCI PUBL LTD	en
heal.journalName	Mathematical Problems in Engineering	en
dc.identifier.doi	10.1155/S1024123X96000361	en
dc.identifier.isi	ISI:A1996UY15600002	en
dc.identifier.volume	2	en
dc.identifier.issue	4	en
dc.identifier.spage	301	en
dc.identifier.epage	318	en