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The evolution of a system consisting of a protoplanetary disc with two embedded Jupiter sized planets is studied numerically. The disc is assumed to be flat and non-self gravitating, which is modeled by the planar (two-dimensional)…

Astrophysics · Physics 2016-08-30 Willy Kley

The formation history of Jupiter has been of interest due to its ability to shape the solar system's history. Yet little attention has been paid to the formation and growth of Saturn and the other giant planets. Here, we explore the…

Earth and Planetary Astrophysics · Physics 2024-07-31 Anuja Raorane , Ramon Brasser , Soko Matsumura , Tommy Chi Ho Lau , Man Hoi Lee , Audrey Bouvier

We consider the Navier--Stokes--Fourier system describing the motion of a compressible, viscous, and heat conducting fluid in a bounded domain with general non-homogeneous Dirichlet boundary conditions for the velocity and the absolute…

Analysis of PDEs · Mathematics 2021-06-11 Nilasis Chaudhuri , Eduard Feireisl

It has already been shown, using a local model, that accretion discs with cooling times t_cool <= 3 Omega^-1 fragment into gravitationally bound objects, while those with cooling times t_cool > 3 Omega^-1 evolve into a quasi-steady state.…

Astrophysics · Physics 2007-05-23 W. K. M. Rice , P. J. Armitage , I. A. Bonnell , M. R. Bate

Using high resolution, two-dimensional hydrodynamical simulations, we investigate the evolution of a self-gravitating multi-phase interstellar medium in the central kiloparsec region of a galactic disk. We find that a gravitationally and…

Astrophysics · Physics 2009-10-31 Keiichi Wada , C. A. Norman

Self-gravitating condensates have been proposed as potential candidates for modelling dark matter. In this paper, we numerically investigate the dynamics of dark matter utilizing the merging of self-gravitating condensates. We have used the…

The apparent dependence of detection frequency of extrasolar planets on the metallicity of their host stars is investigated with Monte Carlo simulations using a deterministic core-accretion planet formation model. According to this model,…

Astrophysics · Physics 2017-10-18 S. Ida , D. N. C. Lin

A monomodal model for stellar and planetary convection is derived for the magnitude of the rms velocity, degree of superadiabaticity, and characteristic length scale as a function of rotation rate as well as with thermal and viscous…

Solar and Stellar Astrophysics · Physics 2019-04-03 Kyle C. Augustson , Stéphane Mathis

A restricted planar circular three-body system, consisting of the Sun and two planets, is studied as a simple model for a planetary system. The mass of the inner planet is considered to be larger and the system is assumed to be moving in a…

Astrophysics · Physics 2009-10-31 Nader Haghighipour

Because of the high energies involved, giant impacts that occur during planetary accretion cause large degrees of melting. The depth of melting in the target body after each collision determines the pressure and temperature conditions of…

Earth and Planetary Astrophysics · Physics 2016-03-30 Jellie de Vries , Francis Nimmo , H. Jay Melosh , Seth A. Jacobson , Alessandro Morbidelli , David C. Rubie

We aim to develop a simple prescription for migration and accretion in 1D disc models, calibrated with results of 3D hydrodynamic simulations. Our focus lies on non-self-gravitating discs, but we also discuss to what degree our prescription…

Earth and Planetary Astrophysics · Physics 2022-11-28 Oliver Schib , Christoph Mordasini , Ravit Helled

We present global magnetohydrodynamic (MHD) simulations of accretion disks with a strong toroidal magnetic field using an equation of state that fixes the gas thermal scale height. The disk forms from the inflow of a rotating magnetized gas…

High Energy Astrophysical Phenomena · Physics 2025-05-20 Minghao Guo , Eliot Quataert , Jonathan Squire , Philip F. Hopkins , James M. Stone

Dynamics and collapse of collisionless self-gravitating systems is described by the coupled collisionless Boltzmann and Poisson equations derived from $f(R)$-gravity in the weak field approximation. Specifically, we describe a system at…

General Relativity and Quantum Cosmology · Physics 2015-06-03 S. Capozziello , M. De Laurentis , I. De Martino , M. Formisano , S. D. Odintsov

For the water-air system, the bulk density ratio is as high as about 1000; no model can fully tackle such a high density ratio system. In the Navier-Stokes and Euler equations, the density $\rho$ within the water-air interface is assumed to…

Fluid Dynamics · Physics 2026-01-27 Fei Wang

In the Solar System giant planets come in two flavours: 'gas giants' (Jupiter and Saturn) with massive gas envelopes and 'ice giants' (Uranus and Neptune) with much thinner envelopes around their cores. It is poorly understood how these two…

Earth and Planetary Astrophysics · Physics 2014-11-26 Michiel Lambrechts , Anders Johansen , Alessandro Morbidelli

We consider a non-standard generalized model of gravity coupled to a neutral scalar "inflaton" as well as to the fields of the electroweak bosonic sector. The essential new ingredient is employing two alternative non-Riemannian space-time…

General Relativity and Quantum Cosmology · Physics 2017-09-18 Eduardo Guendelman , Emil Nissimov , Svetlana Pacheva

The Vlasov-Nordstr\"{o}m-Fokker-Planck system describes the evolution of self-gravitating matter experiencing collisions with a fixed background of particles in the framework of a relativistic scalar theory of gravitation. We study the…

Mathematical Physics · Physics 2014-07-22 José Antonio Alcántara Felix , Simone Calogero , Stephen Pankavich

Low mass, self-gravitating accretion disks admit quasi-steady,`gravito-turbulent' states in which cooling balances turbulent viscous heating. However, numerical simulations show that gravito-turbulence cannot be sustained beyond dynamical…

Earth and Planetary Astrophysics · Physics 2016-06-22 Min-Kai Lin , Kaitlin M. Kratter

We present results of a simulation study of inelastic hard-disks vibrated in a vertical container. An Event-Driven Molecular Dynamics method is developed for studying the onset of convection. Varying the relevant parameters (inelasticity,…

Statistical Mechanics · Physics 2016-08-31 Daniela Paolotti , Alain Barrat , Umberto Marini Bettolo Marconi , Andrea Puglisi

We describe the growth of gas giant planets in the core accretion scenario. The core growth is not modeled as a gradual accretion of planetesimals but as episodic impacts of large mass ratios, i.e. we study impacts of 0.02 - 1 Earth masses…

Earth and Planetary Astrophysics · Physics 2015-06-03 Christopher Broeg , Willy Benz