Generalized solutions of an inhomogeneous inviscid Burgers equation

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dc.contributor.authorSatyanarayana, S.
dc.contributor.authorManasa, M.
dc.contributor.authorBerke, P.B.
dc.date.accessioned2026-02-04T12:28:14Z
dc.date.issued2022
dc.description.abstractWe derive generalized solutions of an inhomogeneous inviscid Burgers equation using vanishing viscosity method. This is achieved with the classical solution of a concerned viscous inhomogeneous Burgers equation. We then study Riemann problem for a de-coupled system. The weak solutions of the system are explicitly obtained by Volpert product concept. There are infinitely many real valued solutions for the system in the case of rarefaction wave and the weak solutions consist of δ- measures in the case of shock wave. Motivated by the structure of weak solutions, we construct the explicit generalized solutions for a more general de-coupled system. © 2021, The Indian National Science Academy.
dc.identifier.citationIndian Journal of Pure and Applied Mathematics, 2022, 53, 1, pp. 188-206
dc.identifier.issn195588
dc.identifier.urihttps://doi.org/10.1007/s13226-021-00099-4
dc.identifier.urihttps://idr.nitk.ac.in/handle/123456789/22660
dc.publisherIndian National Science Academy
dc.subjectReimann problem
dc.subjectVanishing viscosity
dc.subjectVolpert product
dc.subjectWeak solution
dc.titleGeneralized solutions of an inhomogeneous inviscid Burgers equation

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