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Open AccessHamiltonian formulation of general relativity and post-Newtonian dynamics of compact binaries
Hamiltonian formalisms provide powerful tools for the computation of approximate analytic solutions of the Einstein field equations. The post-Newtonian computations of the explicit analytic dynamics and motion...
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Article
Open AccessHamiltonian formulation of general relativity and post-Newtonian dynamics of compact binaries
Hamiltonian formalisms provide powerful tools for the computation of approximate analytic solutions of the Einstein field equations. The post-Newtonian computations of the explicit analytic dynamics and motion...
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Article
Evaluation of VOC fluxes at the soil-air interface using different flux chambers and a quasi-analytical approach
Dense nonaqueous-phase liquids (DNAPLs) spilled on the soil migrate vertically depending upon gravity and capillary forces through the unsaturated zone of the porous aquifer, forming a vapour plume. These vola...
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Article
Highly gravity-driven flow of a NAPL in water-saturated porous media using the discontinuous Galerkin finite-element method with a generalised Godunov scheme
In this paper, we develop an implementation of gravity effects within a Global Pressure formulation in a numerical scheme based on the implicit pressure explicit saturation (IMPES) approach. We use the Discont...
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S. Kopeikin, M. Efroimsky and G. Kaplan: Relativistic celestial mechanics of the solar system
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Prediction of Vertical DNAPL Vapour Fluxes in Soils Using Quasi-Analytical Approaches: Bias Related to Density-Driven and Pressure-Gradient-Induced Advection
This study focuses on a detailed analysis of the errors introduced by two quasi-analytical approaches based on either Fick’s first law or a combination of Fick’s and Darcy’s laws to evaluate the vapour flux of...
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Article
Gravitomagnetism in Physics and Astrophysics
Based on general relativity, the article reviews gravitomagnetism in physics and astrophysics. Emphasis is put on observational effects. Accelerated reference frames in flat spacetime are discussed to illumina...
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Article
A canonical dynamics view of the Newtonian limit of general relativity
The Newtonian limit of general relativity was Jürgen Ehlers favourite model for limit relations between theories of physics. In this contribution, for the case of isolated systems, the Newtonian limit of gener...
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Large Scale Experiment on Transport of Trichloroethylene in a Controlled Aquifer
Pollution by dense non-aqueous phase liquids (DNAPLs) represents a major threat to groundwater resources. In a real case of site contamination, the efficiency of remediation techniques is often limited by a la...
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Surfactant Enhanced In Situ Remediation of LNAPL Contaminated Aquifers: Large Scale Studies on a Controlled Experimental Site
A central problem in a real case remediation of an oil contaminated site is the knowledge of the volume and the extent of the pollution. As the estimation of the mass balance, usually based on some point measu...
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BOOK REVIEW: Proceedings of the 14th International Conference on General Relativity and Gravitation, edited by M. Francaviglia, G. Longhi, L. Lusanna, and E. Sorace
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The ADM Hamiltonian at the postlinear approximation
The ADM Hamiltonian for a many-particle system is calculated up to the postlinear approximation, i.e., to the approximation that both the equations of motion for the particles and the equations of motion for t...
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Article
Lagrangians forn point masses at the second post-Newtonian approximation of general relativity
We study the effect of an infinitesimal coordinate transformation on the Lagrangian and on the metric functional of a system ofn point masses. We show how to compute the Lagrangians ofn point masses at the second...