Existence and large time behavior for a stochastic model of modified magnetohydrodynamic equations

dc.contributor.authorRazafimandimby, Paul Andre
dc.contributor.authorSango, Mamadou
dc.date.accessioned2015-07-13T07:38:08Z
dc.date.available2015-07-13T07:38:08Z
dc.date.issued2015-10
dc.description.abstractIn this paper, we study a system of nonlinear stochastic partial differential equations describing the motion of turbulent non-Newtonian media in the presence of fluctuating magnetic field. The system is basically obtained by a coupling of the dynamical equations of a non-Newtonian fluids having p-structure and the Maxwell equations. We mainly show the existence of weak martingale solutions and their exponential decay when time goes to infinity.en_ZA
dc.description.embargo2016-10-26en_ZA
dc.description.librarianhb2015en_ZA
dc.description.sponsorshipAustrian Science Foundation through the Lise Meitner Program M1487 and the.National Research Foundation of South Africa.en_ZA
dc.description.urihttp://link.springer.com/journal/33en_ZA
dc.identifier.citationRazafimandimby, PA & Sango, M 2015, 'Existence and large time behavior for a stochastic model of modified magnetohydrodynamic equations', Zeitschrift für angewandte Mathematik und Physik, vol. 66, no. 5, pp. 2197-2235.en_ZA
dc.identifier.issn0044-2275 (print)
dc.identifier.issn1420-9039 (online)
dc.identifier.other10.1007/s00033-015-0534-x
dc.identifier.urihttp://hdl.handle.net/2263/48016
dc.language.isoenen_ZA
dc.publisherSpringeren_ZA
dc.rights© 2015 Springer Basel. The original publication is available at : http://link.springer.com/journal/33en_ZA
dc.subjectTime behaviouren_ZA
dc.subjectStochastic modelen_ZA
dc.subjectDynamical equationsen_ZA
dc.subjectMaxwell equationsen_ZA
dc.subjectNon-Newtonian fluidsen_ZA
dc.subjectMagnetohydrodynamics (MHD)en_ZA
dc.subjectMartingale solutionen_ZA
dc.subjectAsymptotic behavioren_ZA
dc.subjectLong-time behavioren_ZA
dc.subjectExponential decayen_ZA
dc.titleExistence and large time behavior for a stochastic model of modified magnetohydrodynamic equationsen_ZA
dc.typePostprint Articleen_ZA

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