Browsing by Subject "Exact solution"

Conference Object

Aspects of string cosmology

Kounnas, Costas; Toumbas, Nicolaos K. (Trieste, SISSA: Proceedings of Science., 2013)

We review recent progress in string cosmology, where string dualities are applied so as to obtain complete cosmological evolutions, free of any essential singularities. Two classes of models are analyzed. The first class ...

Article

Convergence analysis of an hp finite element method for singularly perturbed transmission problems in smooth domains

Nicaise, S.; Xenophontos, Christos A. (2013)

We consider a two-dimensional singularly perturbed transmission problem with two different diffusion coefficients, in a domain with smooth (analytic) boundary. The solution will contain boundary layers only in the part of ...

Article

Enhanced group classification of Benjamin–Bona–Mahony–Burgers equations

Vaneeva, Olena O.; Pošta, Severin; Sophocleous, Christodoulos (2017)

A class of the Benjamin–Bona–Mahony–Burgers (BBMB) equations with time-dependent coefficients is investigated with the Lie symmetry point of view. The set of admissible transformations of the class is described exhaustively. ...

Article

Lie group analysis of two-dimensional variable-coefficient Burgers equation

Ivanova, Nataliya M.; Sophocleous, Christodoulos; Tracinà, Rita (2010)

The modern group analysis of differential equations is used to study a class of two-dimensional variable coefficient Burgers equations. The group classification of this class is performed. Equivalence transformations are ...

Article

Optimal filtering over uncertain wireless communication channels

Ma, X.; Djouadi, S. M.; Charalambous, Charalambos D. (2011)

In this letter, filtering over wireless communication channels subject to packet losses is considered. The packet losses are assumed to follow a Bernoulli distribution. The latter is interpreted as a special case of a ...