Solutions to viscous burgers equations with time dependent source term

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DC Field	Value	Language
dc.contributor.author	Engu S.
dc.contributor.author	Sahoo M.R.
dc.contributor.author	Berke V.P.
dc.date.accessioned	2021-05-05T10:31:07Z	-
dc.date.available	2021-05-05T10:31:07Z	-
dc.date.issued	2021
dc.identifier.citation	Electronic Journal of Differential Equations Vol. 2021 , , p. 1 - 16	en_US
dc.identifier.uri	https://doi.org/
dc.identifier.uri	http://idr.nitk.ac.in/jspui/handle/123456789/16635	-
dc.description.abstract	We study the existence and uniqueness of weak solutions for a Cauchy problem of a viscous Burgers equation with a time dependent reaction term involving Dirac measure. After applying a Hopf like transformation, we investigate the associated two initial boundary value problems by assuming a common boundary. The existence of the boundary data is shown with the help of Abel’s integral equation. We then derive explicit representation of the boundary function. Also, we prove that the solutions of associated initial boundary value problems converge uniformly to a nonzero constant on compact sets as t approaches ∞. © 2021 Texas State University.	en_US
dc.title	Solutions to viscous burgers equations with time dependent source term	en_US
dc.type	Article	en_US
Appears in Collections:	1. Journal Articles

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