Browsing by Author "Papageorgiou, Demetrios T."
Now showing items 116 of 16

Article
Computational study of the dispersively modified KuramotoSivashinsky equation
Akrivis, Georgios; Papageorgiou, Demetrios T.; Smyrlis, YiorgosSokratis (2012)We analyze and implement fully discrete schemes for periodic initial value problems for a general class of dispersively modified KuramotoSivashinsky equations. Time discretizations are constructed using linearly implicit ...

Conference Object
Computational study of the KuramotoSivashinsky equation
Smyrlis, YiorgosSokratis; Papageorgiou, Demetrios T. (Soc for Industrial & Applied Mathematics Publ, 1996)We report the results of extensive numerical experiments on the KuramotoSivashinsky equation in the strongly chaotic regime as the viscosity parameter is decreased and increasingly more linearly unstable modes enter the ...

Article
Computer assisted study of strange attractors of the KuramotoSivashinsky equation
Papageorgiou, Demetrios T.; Smyrlis, YiorgosSokratis (1996)Extensive numerical computations have been carried out using the KuramotoSivashinsky equation which is one of the simplest PDE's which exhibit chaotic behavior. A perioddoubling route to chaos has been located which ...

Article
Editorial
Christodoulides, Paul; Papageorgiou, Demetrios T.; Smyrlis, YiorgosSokratis; VandenBroeck, J. M (2013)

Article
The effects of generalized dispersion on dissipative dynamical systems
Smyrlis, YiorgosSokratis; Papageorgiou, Demetrios T. (1998)We study the effects of dispersion on the KuramotoSivashinsky (KS) equation. In the physical problem considered, there is a full dispersion relation corresponding to a pseudodifferential linear operator added to the KS ...

Article
Linearly implicit methods for a semilinear parabolic system arising in twophase flows
Akrivis, Georgios; Papageorgiou, Demetrios T.; Smyrlis, YiorgosSokratis (2011)We study the discretization of a nonlinear parabolic system arising in twophase flows, which in a special case reduces to the KuramotoSivashinsky equation, by linearly implicit methods and, in particular, by implicitexplicit ...

Article
Linearly implicit schemes for multidimensional KuramotoSivashinsky type equations arising in falling film flows
Akrivis, Georgios; Kalogirou, Anna; Papageorgiou, Demetrios T.; Smyrlis, YiorgosSokratis (2014)This study introduces, analyses and implements spacetime discretizations of twodimensional active dissipative partial differential equations such as the TopperKawahara equation

Article
Linearly implicit schemes for multidimensional Kuramoto–Sivashinsky type equations arising in falling film flows
Akrivis, Georgios; Kalogirou, Anna; Papageorgiou, Demetrios T.; Smyrlis, YiorgosSokratis (2015)

Report
MModulational stability of periodic solutions of the KuramotoSivashinsky equation
Papageorgiou, Demetrios T.; Smyrlis, YiorgosSokratis; University of Manchester. Department of Mathematics. (University of Manchester, Department of Mathematics, 1993)

Book
Modulational stability of periodic solutions of the KuramotoSivashinsky equation
Papageorgiou, Demetrios T.; Papanicolau, George C.; Smyrlis, YiorgosSokratis; University of Manchester Department, of Mathematics (University of Manchester, Department of Mathematics, 1993)

Book
Nonlinear stability of oscillatory coreannular flow : a generalized KuramotoSivashinsky equation with time periodic coefficients
Coward, Adrian V.; Papageorgiou, Demetrios T.; Smyrlis, YiorgosSokratis; National Aeronautics and, Space Administration; Institute for Computer Applications in Science, and Engineering (NASA, 1994)

Book
Nonlinear stability of oscillatory core annular flow : a generalized KuramotoSivashinsky equation with time periodic coefficients
Coward, Adrian V.; Papageorgiou, Demetrios T.; Smyrlis, YiorgosSokratis; University, of Manchester (University of Manchester, 1994)

Article
On the analyticity of certain dissipativedispersive systems
Akrivis, Georgios; Papageorgiou, Demetrios T.; Smyrlis, YiorgosSokratis (2013)We study the analyticity properties of solutions of dissipativedispersive evolutionary equations possessing global attractors. We utilize an analyticity criterion for spatially periodic functions, which involves the rate ...

Article
Predicting chaos for infinite dimensional dynamical systems: The Kuramoto Sivashinsky equation, a case study
Smyrlis, YiorgosSokratis; Papageorgiou, Demetrios T. (1991)The results of extensive computations are presented to accurately characterize transitions to chaos for the KuramotoSivashinsky equation. In particular we follow the oscillatory dynamics in a window that supports a complete ...

Article
The route to chaos for the KuramotoSivashinsky equation
Papageorgiou, Demetrios T.; Smyrlis, YiorgosSokratis (1991)We present the results of extensive numerical experiments of the spatially periodic initial value problem for the KuramotoSivashinsky equation. Our concern is with the asymptotic nonlinear dynamics as the dissipation ...

Article
Surfactant destabilization and nonlinear phenomena in twofluid shear flows at small Reynolds numbers
Kalogirou, Anna; Papageorgiou, Demetrios T.; Smyrlis, YiorgosSokratis (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 nonlinear evolution equations for ...