Browsing by Subject "Kuramoto-Sivashinsky equation"

Now showing items 1-8 of 8

    • Conference Object  

      Analyticity for Kuramoto-Sivashinsky type equations and related systems 

      Ioakim, Xenakis; Smyrlis, Yiorgos-Sokratis (2013)
      We study the analyticity properties of solutions of Kuramoto-Sivashinsky type equations and related systems, with periodic initial data. In order to do this, we explore the sharpness of the method developed in Collet et ...
    • Article  

      Analyticity for Kuramoto-Sivashinsky-type equations in two spatial dimensions 

      Ioakim, Xenakis; Smyrlis, Yiorgos-Sokratis (2016)
      I. Stratis In this work, we investigate the analyticity properties of solutions of Kuramoto-Sivashinsky-type equations in two spatial dimensions, with periodic initial data. In order to do this, we explore the applicability ...
    • 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 ...
    • 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 ...
    • Article  

      Implicit-explicit BDF methods for the Kuramoto-Sivashinsky equation 

      Akrivis, Georgios; Smyrlis, Yiorgos-Sokratis (2004)
      We consider the periodic initial value problem for the Kuramoto-Sivashinsky (KS) equation. We approximate the solution by discretizing in time by implicit-explicit BDF schemes and in space by a pseudo-spectral method. We ...
    • Article  

      Investigation of the analyticity of dissipative-dispersive systems via a semigroup method 

      Ioakim, Xenakis; Smyrlis, Yiorgos-Sokratis (2014)
      In this work, we study the analyticity of Kuramoto-Sivashinsky type equations and related systems by exploring the applicability of the semigroup method, which was developed in Collet et al. [5]. We establish the analyticity, ...
    • 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 ...
    • Article  

      Linearly implicit schemes for a class of dispersive-dissipative systems 

      Akrivis, Georgios; Smyrlis, Yiorgos-Sokratis (2011)
      We consider initial value problems for semilinear parabolic equations, which possess a dispersive term, nonlocal in general. This dispersive term is not necessarily dominated by the dissipative term. In our numerical ...