Τμήμα Μαθηματικών και Στατιστικής / Department of Mathematics and Statistics: Recent submissions
Now showing items 41-60 of 1633
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Article
On the metric graph model for flows in tubular nanostructures
(2019)A metric graph model is suggested for the Stokes flow concentrated in the vicinity of a network embedded in R3. As a basic problem, we consider the case corresponding to strong variation of the viscosity and density in a ...
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Article
Regularity for Fully Nonlinear Parabolic Equations with Oblique Boundary Data
(2019)We obtain up to a flat boundary regularity results in parabolic Hölder spaces for viscosity solutions of fully nonlinear parabolic equations with oblique boundary conditions.
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Article
Finite element approximation of reaction–diffusion problems using an exponentially graded mesh
(2018)We present the analysis of an h version Finite Element Method for the approximation of the solution to singularly perturbed reaction–diffusion problems posed in smooth domains Ω⊂R2. The method uses piecewise polynomials ...
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Article
Parabolic Obstacle Problems. Quasi-convexity and Regularity
(2019)In a wide class of the so called Obstacle Problems of parabolic type it is shown how to improve the optimal regularity of the solution and as a consequence how to obtain space-time regularity of the corresponding free boundary.
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Article
A mixed hp FEM for the approximation of fourth-order singularly perturbed problems on smooth domains
(2019)We consider fourth-order singularly perturbed problems posed on smooth domains and the approximation of their solution by a mixed Finite Element Method on the so-called Spectral Boundary Layer Mesh. We show that the method ...
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Article
Isogeometric analysis for singularly perturbed problems in 1-D: error estimates
(2020)We consider one-dimensional singularly perturbed boundary value problems of reaction-convection-diffusion type, and the approximation of their solution using isogeometric analysis. In particular, we use a Galerkin formulation ...
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Article
Corrigendum to “Automorphisms of smooth canonically polarized surfaces in positive characteristic” Adv. Math. 310 (2017) 235–289
(2018)This note corrects some mistakes in the proof of Theorem 6.5 in my paper Automorphism of smooth canonically polarized surfaces in positive characteristic which was published by Tziolas (2017) [2].
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Article
Relative Entropy for Hyperbolic–Parabolic Systems and Application to the Constitutive Theory of Thermoviscoelasticity
(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 ...
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Article
A symmetrizable extension of polyconvex thermoelasticity and applications to zero-viscosity limits and weak-strong uniqueness
(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, ...
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Article
Measure-valued solutions for the equations of polyconvex adiabatic thermoelasticity
(2019)For the system of polyconvex adiabatic thermoelasticity, we define a notion of dissipative measure-valued solution, which can be considered as the limit of a viscosity approximation. We embed the system into a symmetrizable ...
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Conference Object
On L1-stability of BV solutions for a model of granular flow
(AIMS, 2019)
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Article
The Brauer–Manin Obstruction for Zero-Cycles on $K3$ Surfaces
(2019)Abstract. We study local–global principles for zero-cycles on $K3$ surfaces defined over number fields. We follow an idea of Liang to use the trivial fibration
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Conference Object
On The Relative Entropy Method For Hyperbolic-Parabolic Systems
(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 hyperbolic-parabolic systems whose hyperbolic part is symmetrizable is the ...
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Article
Moving pseudo-boundary method of fundamental solutions for nonlinear potential problems
(2019)In the method of fundamental solutions (MFS), the solution of a boundary value problem (BVP) is approximated by a linear combination of fundamental solutions expressed in terms of sources which are located on a pseudo–boundary ...
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Article
The method of fundamental solutions for the Oseen steady-state viscous flow past obstacles of known or unknown shapes
(2019)In this paper, the steady-state Oseen viscous flow equations past a known or unknown obstacle are solved numerically using the method of fundamental solutions (MFS), which is free of meshes, singularities, and numerical ...
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Article
Prediction of catastrophes in space over time
(2018)Predicting rare events, such as high level up-crossings, for spatio-temporal processes plays an important role in the analysis of the occurrence and impact of potential catastrophes in, for example, environmental settings. ...
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Article
Shape parameter estimation in RBF function approximation
(2019)The radial basis function (RBF) collocation method is applied for the approximation of functions in two variables. When the RBFs employed include a shape parameter, the determination of an appropriate value for it is a ...
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Conference Object
Determination of shape parameter in RBF approximation
(WIT Press, 2019)We apply a radial basis function (RBF) collocation method for the approximation of functions in two dimensions. The solution is approximated by a linear combination of radial basis functions. The issue of determining the ...
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Article
Random spectral measure for non Gaussian moving averages
(2018)We study the distribution of phases and amplitudes for the spectral representation of weighted moving averages of a general noise measure. The simple independent structure, known for the Gaussian case, and involving Rayleigh ...