Browsing Τμήμα Μαθηματικών και Στατιστικής / Department of Mathematics and Statistics by Author "Papageorgiou, Demetrios T."
Now showing items 1-16 of 16
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Article
Computational study of the dispersively modified Kuramoto-Sivashinsky equation
Akrivis, Georgios; Papageorgiou, Demetrios T.; Smyrlis, Yiorgos-Sokratis (2012)We analyze and implement fully discrete schemes for periodic initial value problems for a general class of dispersively modified Kuramoto-Sivashinsky equations. Time discretizations are constructed using linearly implicit ...
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Conference Object
Computational study of the Kuramoto-Sivashinsky equation
Smyrlis, Yiorgos-Sokratis; Papageorgiou, Demetrios T. (Soc for Industrial & Applied Mathematics Publ, 1996)We report the results of extensive numerical experiments on the Kuramoto-Sivashinsky equation in the strongly chaotic regime as the viscosity parameter is decreased and increasingly more linearly unstable modes enter the ...
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Article
Computer assisted study of strange attractors of the Kuramoto-Sivashinsky equation
Papageorgiou, Demetrios T.; Smyrlis, Yiorgos-Sokratis (1996)Extensive numerical computations have been carried out using the Kuramoto-Sivashinsky equation which is one of the simplest PDE's which exhibit chaotic behavior. A period-doubling route to chaos has been located which ...
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Article
Editorial
Christodoulides, Paul; Papageorgiou, Demetrios T.; Smyrlis, Yiorgos-Sokratis; Vanden-Broeck, J. -M (2013)
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Article
The effects of generalized dispersion on dissipative dynamical systems
Smyrlis, Yiorgos-Sokratis; Papageorgiou, Demetrios T. (1998)We study the effects of dispersion on the Kuramoto-Sivashinsky (KS) equation. In the physical problem considered, there is a full dispersion relation corresponding to a pseudo-differential linear operator added to the KS ...
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Article
Linearly implicit methods for a semilinear parabolic system arising in two-phase flows
Akrivis, Georgios; Papageorgiou, Demetrios T.; Smyrlis, Yiorgos-Sokratis (2011)We study the discretization of a nonlinear parabolic system arising in two-phase flows, which in a special case reduces to the Kuramoto-Sivashinsky equation, by linearly implicit methods and, in particular, by implicit-explicit ...
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Article
Linearly implicit schemes for multi-dimensional Kuramoto-Sivashinsky type equations arising in falling film flows
Akrivis, Georgios; Kalogirou, Anna; Papageorgiou, Demetrios T.; Smyrlis, Yiorgos-Sokratis (2014)This study introduces, analyses and implements space-time discretizations of two-dimensional active dissipative partial differential equations such as the Topper-Kawahara equation
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Article
Linearly implicit schemes for multi-dimensional Kuramoto–Sivashinsky type equations arising in falling film flows
Akrivis, Georgios; Kalogirou, Anna; Papageorgiou, Demetrios T.; Smyrlis, Yiorgos-Sokratis (2015)
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Report
MModulational stability of periodic solutions of the Kuramoto-Sivashinsky equation
Papageorgiou, Demetrios T.; Smyrlis, Yiorgos-Sokratis; University of Manchester. Department of Mathematics. (University of Manchester, Department of Mathematics, 1993)
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Book
Modulational stability of periodic solutions of the Kuramoto-Sivashinsky equation
Papageorgiou, Demetrios T.; Papanicolau, George C.; Smyrlis, Yiorgos-Sokratis; University of Manchester Department, of Mathematics (University of Manchester, Department of Mathematics, 1993)
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Book
Non-linear stability of oscillatory core-annular flow : a generalized Kuramoto-Sivashinsky equation with time periodic co-efficients
Coward, Adrian V.; Papageorgiou, Demetrios T.; Smyrlis, Yiorgos-Sokratis; National Aeronautics and, Space Administration; Institute for Computer Applications in Science, and Engineering (NASA, 1994)
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Book
Nonlinear stability of oscillatory core annular flow : a generalized Kuramoto-Sivashinsky equation with time periodic coefficients
Coward, Adrian V.; Papageorgiou, Demetrios T.; Smyrlis, Yiorgos-Sokratis; University, of Manchester (University of Manchester, 1994)
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Article
On the analyticity of certain dissipative-dispersive systems
Akrivis, Georgios; Papageorgiou, Demetrios T.; Smyrlis, Yiorgos-Sokratis (2013)We study the analyticity properties of solutions of dissipative-dispersive evolutionary equations possessing global attractors. We utilize an analyticity criterion for spatially periodic functions, which involves the rate ...
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Article
Predicting chaos for infinite dimensional dynamical systems: The Kuramoto- Sivashinsky equation, a case study
Smyrlis, Yiorgos-Sokratis; Papageorgiou, Demetrios T. (1991)The results of extensive computations are presented to accurately characterize transitions to chaos for the Kuramoto-Sivashinsky equation. In particular we follow the oscillatory dynamics in a window that supports a complete ...
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Article
The route to chaos for the Kuramoto-Sivashinsky equation
Papageorgiou, Demetrios T.; Smyrlis, Yiorgos-Sokratis (1991)We present the results of extensive numerical experiments of the spatially periodic initial value problem for the Kuramoto-Sivashinsky equation. Our concern is with the asymptotic nonlinear dynamics as the dissipation ...
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Article
Surfactant destabilization and non-linear phenomena in two-fluid shear flows at small Reynolds numbers
Kalogirou, Anna; Papageorgiou, Demetrios T.; Smyrlis, Yiorgos-Sokratis (2012)The flow of two superposed fluids in a channel in the presence of an insoluble surfactant is studied. Asymptotic analysis when one of the layers is thin yields a system of coupled weakly non-linear evolution equations for ...