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Introduction to generalized functions with applications in aeroacoustics

	Author(s):	Farassat F.
	Collection:
	Publisher:	NASA
	Year:	1994
	Language:	English
	Pages:	53 pages
	Size:	359 KB
	Extension:	DJVU

[tab] [content title="Description"]Generalized functions have many applications in science and engineering. One useful aspect is that discontinuous functions can be handled as easily as continuous or differentiable functions and provide a powerful tool in formulating and solving many problems of aerodynamics and acoustics. Furthermore, generalized function theory elucidates and unifies many ad hoc mathematical approaches used by engineers and scientists. We define generalized functions as continuous linear functionals on the space of infinitely differentiable functions with compact support, then introduce the concept of generalized differentiation. Generalized differentiation is the most important concept in generalized function theory and the applications we present utilize mainly this concept. First, some results of classical analysis, are derived with the generalized function theory. Other applications of the generalized function theory in aerodynamics discussed here are the derivations [/content] [content title="Content"] [/content] [content title="About the author"] Fereidoun Farassat was born on October 20, 1944. Fereidoun died on July 9, 2011 at 66 years of age. We know that Fereidoun Farassat had been residing in Hampton, Hampton City County, Virginia 23669. [/content] [/tab]

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