A complete general solution of the unsteady Brinkman equations

dc.contributor.author	Tumuluri, Suman Kumar
dc.contributor.author	Amaranath, T.
dc.date.accessioned	2022-03-27T04:08:12Z
dc.date.available	2022-03-27T04:08:12Z
dc.date.issued	2018-05-15
dc.description.abstract	In this paper, we present a complete general solution of the unsteady Brinkman equations. To this end, we introduce a representation for velocity and pressure in terms of two scalar functions. One of these scalar functions satisfies a second order partial differential equation (PDE) while the other satisfies a fourth order PDE which can be factorized into a pair of second order PDEs. We show that the solution of this fourth order PDE is indeed the sum of the solutions of the two second order PDEs. We also use these solutions to obtain a complete general solution of the unsteady Brinkman equations.
dc.identifier.citation	Journal of Mathematical Analysis and Applications. v.461(2)
dc.identifier.issn	0022247X
dc.identifier.uri	10.1016/j.jmaa.2018.01.043
dc.identifier.uri	https://www.sciencedirect.com/science/article/abs/pii/S0022247X18300738
dc.identifier.uri	https://dspace.uohyd.ac.in/handle/1/6376
dc.subject	Brinkman equations
dc.subject	Factorization of operators
dc.subject	Heat operator
dc.subject	Stokes flows
dc.title	A complete general solution of the unsteady Brinkman equations
dc.type	Journal. Article
dspace.entity.type

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