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Related papers: BGK models for inert mixtures: comparison and appl…

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Joint models have received increasing attention during recent years with extensions into various directions; numerous hazard functions, different association structures, linear and non-linear longitudinal trajectories amongst others. Many…

Methodology · Statistics 2019-01-29 Janet Van Niekerk , Haakon Bakka , Haavard Rue

In this paper we study the hydrodynamic limit of a B.G.K. like kinetic model on domains with boundaries via $BV_{loc}$ theory. We obtain as a consequence existence results for scalar multidimensional conservation laws with kinetic boundary…

Mathematical Physics · Physics 2009-11-10 M. Tidriri

This manuscript is devoted to the modelling of water waves in the deep water regime with some emphasis on the underlying variational structures. The present article should be considered as a review of some existing models and modelling…

Fluid Dynamics · Physics 2020-02-20 Denys Dutykh , Didier Clamond , Marx Chhay

The plunge-merger stage of the binary-black hole coalescence, when the bodies' velocities reach a large fraction of the speed of light and the gravitational-wave luminosity peaks, provides a unique opportunity to probe gravity in the…

General Relativity and Quantum Cosmology · Physics 2024-10-16 Elisa Maggio , Hector O. Silva , Alessandra Buonanno , Abhirup Ghosh

New results for the Inert Doublet Model (IDM) are discussed. It is very special among the $D$-symmetric 2HDMs, offering a good DM candidate. New unitarity constraints were derived for the IDM and SM-like light Higgs boson scenario in the…

High Energy Physics - Phenomenology · Physics 2012-05-08 Bogumila Gorczyca , Maria Krawczyk

We present the first results in a new program intended to make the best use of all available technologies to provide an effective understanding of waves from inspiralling black hole binaries in time for imminent observations. In particular,…

General Relativity and Quantum Cosmology · Physics 2010-04-06 J. Baker , B. Bruegmann , M. Campanelli , C. O. Lousto

For the one-dimensional linear kinetic equation analytical solutions of problems about temperature jump and weak evaporation (condensation) over flat surface are received. The equation has integral of collisions BGK (Bhatnagar, Gross and…

Mathematical Physics · Physics 2014-03-25 A. L. Bugrimov , A. V. Latyshev , A. A. Yushkanov

A new framework is introduced for constructing interpretable and truly reliable reduced models for multiscale problems in situations without scale separation. Hydrodynamic approximation to the kinetic equation is used as an example to…

Computational Physics · Physics 2019-10-31 Jiequn Han , Chao Ma , Zheng Ma , Weinan E

The BGK model is a relaxation-time approximation of the celebrated Boltzmann equation, and the Marle model is a direct extension of the BGK model in a relativistic framework. In this paper, we introduce the Marle model for polyatomic gases…

Analysis of PDEs · Mathematics 2024-02-06 Byung-Hoon Hwang

A general framework for the kinetic modelling of non-relativistic polyatomic gases is proposed,where each particle is characterized both by its velocity and by its internal state, and the Boltzmann collisionoperator involves suitably…

Mathematical Physics · Physics 2023-01-05 Thomas Borsoni , Marzia Bisi , Maria Groppi

Accurate aerodynamic and aerothermodynamic predictions are crucial for numerous hypersonic applications. This paper proposes a gas-kinetic scheme (GKS) coupled with a two-temperature kinetic model, which distinguishes between the…

Fluid Dynamics · Physics 2026-01-06 Xingjian Gao , Xing Ji , Hualin Liu , Gang Chen

The single Higgs doublet in the standard model (SM) may be the simplest way of introducing electroweak symmetry breaking, but SM extensions with more scalar doublets are not excluded. A special case of the two Higgs doublet models is the…

High Energy Physics - Phenomenology · Physics 2011-06-10 Michael Gustafsson

We present a systematic procedure for the construction of relativistic lattice Boltzmann models (R-SLB) appropriate for the simulation of flows of massless particles. Quadrature rules are used for the discretization of the momentum space in…

Fluid Dynamics · Physics 2018-09-24 Victor E. Ambrus , Robert Blaga

We consider a multi component gas mixture with translational and internal energy degrees of freedom assuming that the number of particles of each species remains constant. We will illustrate the derived model in the case of two species, but…

Analysis of PDEs · Mathematics 2018-07-02 Christian Klingenberg , Marlies Pirner , Gabriella Puppo

It is demonstrated by molecular dynamics simulations that liquids interacting via the Buckingham potential are strongly correlating, i.e., have regions of their phase diagram where constant-volume equilibrium fluctuations in the virial and…

Soft Condensed Matter · Physics 2012-03-27 Arno A. Veldhorst , Lasse Bøhling , Jeppe C. Dyre , Thomas B. Schrøder

The statistical-physical study of granular matter is essential to understand, from a fundamental point of view, the many different phenomena emerging in these classical many-body systems. Under rapid-flow conditions, granular materials…

Soft Condensed Matter · Physics 2023-10-23 Alberto Megías

We introduce a class of Kac-like kinetic equations on the real line, with general random collisional rules, which include as particular cases models for wealth redistribution in an agent-based market or models for granular gases with a…

Mathematical Physics · Physics 2015-05-20 Federico Bassetti , Lucia Ladelli , Giuseppe Toscani

The homogeneous state of a binary mixture of smooth inelastic hard disks or spheres is analyzed. The mixture is driven by a thermostat composed by two terms: a stochastic force and a drag force proportional to the particle velocity. The…

Statistical Mechanics · Physics 2014-04-24 Nagi Khalil , Vicente Garzó

Accurate models of merger remnants are increasingly important for gravitational-wave science, including precision tests of gravity with ringdown, inference of black-hole populations, and modeling hierarchical mergers. For eccentric…

To simulate non-equilibrium compressible flows, a new discrete Boltzmann model, discrete Ellipsoidal Statistical(ES)-BGK model, is proposed. Compared with the original discrete BGK model, the discrete ES-BGK has a flexible Prandtl number.…

Fluid Dynamics · Physics 2018-03-08 Yudong Zhang , Aiguo Xu , Guangcai Zhang , Zhihua Chen , Pei Wang