653 citations
- University of ViennaAT117 papers
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- Centre National de la Recherche ScientifiqueFR23 papers
- Institute of MathematicsPL17 papers
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- Universität für Weiterbildung KremsAT9 papers
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11 papers · 1 filter
The viscoelastic paradox in a nonlinear Kelvin-Voigt type model of dynamic fracture
Maicol Caponi, Alessandro Carbotti, Francesco Sapio
In this paper we consider a dynamic model of fracture for viscoelastic materials, in which the constitutive relation, involving the Cauchy stress and the strain tensors, is given i…
Hölder regularity of the pressure for weak solutions of the 3D Euler equations in bounded domains
Claude Bardos, Daniel W. Boutros, Edriss S. Titi
We consider the three-dimensional incompressible Euler equations on a bounded domain with boundary. We prove that if the velocity field with (w…
Relative Entropy Method for Measure Solutions of the Growth-Fragmentation Equation
Tomasz Dębiec, Marie Doumic, Piotr Gwiazda +1
The aim of this study is to generalise recent results of the two last authors on en-tropy methods for measure solutions of the renewal equation to other classes of structured popul…
Cyclic asymptotic behaviour of a population reproducing by fission into two equal parts
Etienne Bernard, Marie Doumic, Pierre Gabriel
We study the asymptotic behaviour of the following linear growth-fragmentation equation$$\dfrac{\partial}{\partial t} u(t,x) + \dfrac{\partial}{\partial x} \big(x u(t,x)\big) + B(x…
Blood-Flow Modelling Along and Trough a Braided Multi-Layer Metallic Stent
Vuk Milisic
In this work we study the hemodynamics in a stented artery connected either to a collateral artery or to an aneurysmal sac. The blood flow is driven by the pressure drop. Our aim i…
A one-dimensional model for the interaction between cell-to-cell adhesion and chemotactic signalling
K. Anguige
We develop and analyse a discrete, one-dimensional model of cell motility which incorporates the effects of volume filling, cell-to-cell adhesion and chemotaxis. The formal continu…