Solutions to viscous burgers equations with time dependent source term

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dc.contributor.authorSatyanarayana, S.
dc.contributor.authorSahoo, M.R.
dc.contributor.authorBerke, V.P.
dc.date.accessioned2026-02-05T09:27:37Z
dc.date.issued2021
dc.description.abstractWe 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.
dc.identifier.citationElectronic Journal of Differential Equations, 2021, 2021, , pp. 1-16
dc.identifier.issn10726691
dc.identifier.issn15506150
dc.identifier.urihttps://idr.nitk.ac.in/handle/123456789/23480
dc.publisherTexas State University - San Marcos
dc.subjectAbel integral equation
dc.subjectHeat equation
dc.subjectHopf transformation
dc.subjectLarge time asymptotic
dc.subjectWeak solutions
dc.titleSolutions to viscous burgers equations with time dependent source term

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