ON THE CLOSED-FORM SOLUTIONS OF THE WAVE, DIFFUSION AND BURGERS EQUATIONS IN FLUID-MECHANICS

PANAYOTOUNAKOS, DE; DRIKAKIS, D

dc.contributor.author	PANAYOTOUNAKOS, DE	en
dc.contributor.author	DRIKAKIS, D	en
dc.date.accessioned	2014-03-01T01:44:02Z
dc.date.available	2014-03-01T01:44:02Z
dc.date.issued	1995	en
dc.identifier.issn	0044-2267	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/24261
dc.subject.classification	Mathematics, Applied	en
dc.subject.classification	Mechanics	en
dc.subject.other	BOUNDARY-LAYER	en
dc.title	ON THE CLOSED-FORM SOLUTIONS OF THE WAVE, DIFFUSION AND BURGERS EQUATIONS IN FLUID-MECHANICS	en
heal.type	journalArticle	en
heal.language	English	en
heal.publicationDate	1995	en
heal.abstract	In this paper the closed-form solutions of the first-order wave equation with source terms u(t) + g(u)u(x) = f(u), and of the diffusion equation of the general form u(t) + g(u)u(x) = vu(xx), are constructed. Both equations are considered for smooth initial and boundary conditions, namely u(0, x) = phi(x) and u(t, x(0)) = f(t), respectively. Furthermore, the case of Burgers equation with source terms u(t) + uu(x) = vu(xx) - lambda u, appearing in the aerodynamic theory, is investigated. The developed solution techniques and the obtained closed-form solutions may be proved powerful in applications.	en
heal.publisher	AKADEMIE VERLAG GMBH	en
heal.journalName	ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK	en
dc.identifier.isi	ISI:A1995RE34800003	en
dc.identifier.volume	75	en
dc.identifier.issue	6	en
dc.identifier.spage	437	en
dc.identifier.epage	447	en