General solutions of the nonlinear PDEs governing the erosion kinetics

Panayotounakos, DE; Zafeiropoulos, KP

dc.contributor.author	Panayotounakos, DE	en
dc.contributor.author	Zafeiropoulos, KP	en
dc.date.accessioned	2014-03-01T01:17:56Z
dc.date.available	2014-03-01T01:17:56Z
dc.date.issued	2002	en
dc.identifier.issn	1024-123X	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/14712
dc.subject	Erosion	en
dc.subject	General solutions of nonlinear PDEs	en
dc.subject	Kinetics	en
dc.subject.classification	Engineering, Multidisciplinary	en
dc.subject.classification	Mathematics, Interdisciplinary Applications	en
dc.subject.other	Computer simulation	en
dc.subject.other	Erosion	en
dc.subject.other	Mathematical models	en
dc.subject.other	Nonlinear equations	en
dc.subject.other	Oil well production	en
dc.subject.other	Optimization	en
dc.subject.other	Petroleum reservoir engineering	en
dc.subject.other	Rate constants	en
dc.subject.other	Erosion kinetics	en
dc.subject.other	Fluidized-solid particles	en
dc.subject.other	Partial differential equations	en
dc.title	General solutions of the nonlinear PDEs governing the erosion kinetics	en
heal.type	journalArticle	en
heal.identifier.primary	10.1080/10241230211379	en
heal.identifier.secondary	http://dx.doi.org/10.1080/10241230211379	en
heal.language	English	en
heal.publicationDate	2002	en
heal.abstract	We present the construction of the general solutions concerning the one-dimensional (11)) fully dynamic nonlinear partial differential equations (PDEs), for the erosion kinetics. After an uncoupling procedure of the above mentioned equations a second-order nonlinear PDE of the Monge type governing the porosity is derived, the general solution of which is constructed in the sense that a full complement of arbitrary functions (as many as the order) is introduced. Afterwards, we specify the above solution according to convenient initial conditions.	en
heal.publisher	TAYLOR & FRANCIS LTD	en
heal.journalName	Mathematical Problems in Engineering	en
dc.identifier.doi	10.1080/10241230211379	en
dc.identifier.isi	ISI:000175727400005	en
dc.identifier.volume	8	en
dc.identifier.issue	1	en
dc.identifier.spage	69	en
dc.identifier.epage	85	en