Displaying similar documents to “An asymptotically optimal model for isotropic heterogeneous linearly elastic plates”

Linearized plastic plate models as Γ-limits of 3D finite elastoplasticity

Elisa Davoli (2014)

ESAIM: Control, Optimisation and Calculus of Variations

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The subject of this paper is the rigorous derivation of reduced models for a thin plate by means of -convergence, in the framework of finite plasticity. Denoting by the thickness of the plate, we analyse the case where the scaling factor of the elasto-plastic energy per unit volume is of order , with ≥ 3. According to the value of , partially or fully linearized models are deduced, which correspond, in the absence of plastic deformation, to the Von Kármán plate theory...

Global Asymptotic Stability of Equilibria in Models for Virus Dynamics

J. Prüss, R. Zacher, R. Schnaubelt (2008)

Mathematical Modelling of Natural Phenomena

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In this paper several models in virus dynamics with and without immune response are discussed concerning asymptotic behaviour. The case of immobile cells but diffusing viruses and T-cells is included. It is shown that, depending on the value of the basic reproductive number of the virus, the corresponding equilibrium is globally asymptotically stable. If < 1 then the virus-free equilibrium has this property, and in case > 1 there...

A Variational Problem Modelling Behavior of Unorthodox Silicon Crystals

J. Hannon, M. Marcus, Victor J. Mizel (2010)

ESAIM: Control, Optimisation and Calculus of Variations

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Controlling growth at crystalline surfaces requires a detailed and quantitative understanding of the thermodynamic and kinetic parameters governing mass transport. Many of these parameters can be determined by analyzing the isothermal wandering of steps at a vicinal [“step-terrace”] type surface [for a recent review see [4]]. In the case of crystals one finds that these meanderings develop larger amplitudes as the equilibrium temperature is raised (as is consistent with the statistical...

Asymptotic-Preserving scheme for a two-fluid Euler-Lorentz model

Stéphane Brull, Pierre Degond, Fabrice Deluzet, Alexandre Mouton (2011)

ESAIM: Proceedings

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The present work is devoted to the simulation of a strongly magnetized plasma as a mixture of an ion fluid and an electron fluid. For simplicity reasons, we assume that each fluid is isothermal and is modelized by Euler equations coupled with a term representing the Lorentz force, and we assume that both Euler systems are coupled through a quasi-neutrality constraint of the form  =  . The numerical...