Browsing by Author "Christoforou, Cleopatra"
Now showing items 120 of 22

Article
Boundary layers for selfsimilar viscous approximations of nonlinear hyperbolic systems
Christoforou, Cleopatra; Spinolo, L. V. (2013)We provide a precise description of the set of residual boundary conditions generated by the selfsimilar viscous approximation introduced by Dafermos et al. We then apply our results, valid for both conservative and ...

Article
BV weak solutions to GaussCodazzi system for isometric immersions
Christoforou, Cleopatra (2012)The isometric immersion problem for surfaces embedded into R3 is studied via the fluid dynamic framework introduced in Chen et al. (2010) [6] as a system of balance laws of mixedtype. The techniques developed in the theory ...

Article
Continuous dependence of entropy solutions to the Euler equations on the adiabatic exponent and mach number
Chen, G. Q; Christoforou, Cleopatra; Zhang, Y. (2008)We establish the L1estimates for continuous dependence of entropy solutions to the full Euler equations away from the vacuum on two physical parameters: the adiabatic exponent γ → 1 that passes from the nonisentropic to ...

Article
Decay of Positive Waves of Hyperbolic Balance Laws
Christoforou, Cleopatra; Trivisa, K. (2012)Historically, decay rates have been used to provide quantitative and qualitative information on the solutions to hyperbolic conservation laws. Quantitative results include the establishment of convergence rates for ...

Article
Dependence of entropy solutions in the large for the euler equations on nonlinear flux functions
Chen, G. Q; Christoforou, Cleopatra; Zhang, Y. (2007)We study the dependence of entropy solutions in the large for hyperbolic systems of conservation laws whose flux functions depend on a parameter vector μ. We first formulate an effective approach for establishing the L ...

Article
Existence and uniqueness analysis of a detached shock problem for the potential flow
Chen, J.; Christoforou, Cleopatra; Jegdi, K. (2011)We study a problem for twodimensional steady potential and isentropic Euler equations in a bounded domain, where an artificial detached shock interacts with a wedge. Using the stream function, we obtain a free boundary ...

Article
Hyperbolic systems of balance laws via vanishing viscosity
Christoforou, Cleopatra (2006)Global weak solutions of a strictly hyperbolic system of balance laws in onespace dimension are constructed by the vanishing viscosity method of Bianchini and Bressan. For global existence, a suitable dissipativeness ...

Article
Isometric immersions via compensated compactness for slowly decaying negative Gauss curvature and rough data
Christoforou, Cleopatra; Slemrod, M. (2015)In this paper, the method of compensated compactness is applied to the problem of isometric immersion of a twodimensional Riemannian manifold with negative Gauss curvature into threedimensional Euclidean space. Previous ...

Article
Measurevalued solutions for the equations of polyconvex adiabatic thermoelasticity
Christoforou, Cleopatra; Galanopoulou, Myrto Maria; Tzavaras, Athanasios (2019)For the system of polyconvex adiabatic thermoelasticity, we define a notion of dissipative measurevalued solution, which can be considered as the limit of a viscosity approximation. We embed the system into a symmetrizable ...

Article
On hyperbolic balance laws and applications
Christoforou, Cleopatra (2017)An overview of the current state of the theory of general strictly hyperbolic systems of balance laws in one space dimension is documented in this article. Results on global existence, stability and uniqueness of entropy ...

Conference Object
On L1stability of BV solutions for a model of granular flow
Ancona, F.; Caravenna, L.; Christoforou, Cleopatra (AIMS, 2019)

Article
On the decay rate of the Gauss curvature for isometric immersions
Christoforou, Cleopatra; Slemrod, M. (2016)We address the problem of global embedding of a two dimensional Riemannian manifold with negative Gauss curvature into three dimensional Euclidean space. A theorem of Efimov states that if the curvature decays too slowly ...

Conference Object
On The Relative Entropy Method For HyperbolicParabolic Systems
Christoforou, Cleopatra; Tzavaras, Athanasios (Springer International Publishing, 2018)The work of Christoforou and Tzavaras (Arch Rat Mech Anal 229(1):1–52, 2018, [5]) on the extension of the relative entropy identity to the class of hyperbolicparabolic systems whose hyperbolic part is symmetrizable is the ...

Article
Rate of convergence for vanishing viscosity approximations to hyperbolic balance laws
Christoforou, Cleopatra; Trivisa, K. (2011)The rate of convergence for vanishing viscosity approximations to hyperbolic balance laws is established. The result applies to systems that are strictly hyperbolic and genuinely nonlinear with a source term satisfying a ...

Article
Relative Entropy for Hyperbolic–Parabolic Systems and Application to the Constitutive Theory of Thermoviscoelasticity
Christoforou, Cleopatra; Tzavaras, Athanasios E. (2018)We extend the relative entropy identity to the class of hyperbolic–parabolic systems whose hyperbolic part is symmetrizable. The resulting identity, in the general theory, is useful for providing stability of viscous ...

Article
A remark on the Glimm scheme for inhomogeneous hyperbolic systems of balance laws
Christoforou, Cleopatra (2015)General hyperbolic systems of balance laws with inhomogeneous flux and source are studied. Global existence of entropy weak solutions to the Cauchy problem is established for small BV data under appropriate assumptions on ...

Article
Sharp decay estimates for hyperbolic balance laws
Christoforou, Cleopatra; Trivisa, K. (2009)We consider strictly hyperbolic and genuinely nonlinear systems of hyperbolic balance laws in onespace dimension. Sharp decay estimates are derived for the positive waves in an entropy weak solution. The result is obtained ...

Article
Solutions for a nonlocal conservation law with fading memory
Chen, G. Q; Christoforou, Cleopatra (2007)Global entropy solutions in BV for a scalar nonlocal conservation law with fading memory are constructed as the limits of vanishing viscosity approximate solutions. The uniqueness and stability of entropy solutions in BV ...

Article
A symmetrizable extension of polyconvex thermoelasticity and applications to zeroviscosity limits and weakstrong uniqueness
Christoforou, Cleopatra; Galanopoulou, Myrto; Tzavaras, Athanasios E. (2018)We embed the equations of polyconvex thermoviscoelasticity into an augmented, symmetrizable, hyperbolic system and derive a relative entropy identity in the extended variables. Following the relative entropy formulation, ...

Article
Systems of hyperbolic conservation laws with memory
Christoforou, Cleopatra (2007)Global weak solutions of bounded variation to systems of balance laws with nonlocal source are constructed by the method of vanishing viscosity. Suitable dissipativeness assumptions are imposed on the source terms to ...