Modelling of planetary accretion and core-mantle structure formation

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61388998%3A_____%2F24%3A00600224" target="_blank" >RIV/61388998:_____/24:00600224 - isvavai.cz</a>

Nalezeny alternativní kódy

RIV/00216208:11320/24:10490382

Výsledek na webu

<a href="https://iopscience.iop.org/article/10.1088/1751-8121/ad75d9#artAbst" target="_blank" >https://iopscience.iop.org/article/10.1088/1751-8121/ad75d9#artAbst</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1088/1751-8121/ad75d9" target="_blank" >10.1088/1751-8121/ad75d9</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Modelling of planetary accretion and core-mantle structure formation

Popis výsledku v původním jazyce

We advance a thermodynamically consistent model of self-gravitational accretion and differentiation in planets. The system is modeled in actual variables as a compressible thermoviscoelastic fluid in a fixed, sufficiently large domain. The supply of material to the accreting and differentiating system is described as a bulk source of mass, volume, impulse, and energy localized in some border region of the domain. Mass, momentum, and energy conservation, along with constitutive relations, result in an extended compressible Navier–Stokes-Fourier-Poisson system. The centrifugal and Coriolis forces are also considered. After studying some single-component setting, we consider a two-component situation, where metals and silicates mix and differentiate under gravity, eventually forming a core-mantle structure. The energetics of the models are elucidated. Moreover, we prove that the models are stable, in that self-gravitational collapse is excluded. Eventually, we comment on the prospects of devising a rigorous mathematical approximation and existence theory.

Název v anglickém jazyce

Modelling of planetary accretion and core-mantle structure formation

Popis výsledku anglicky

We advance a thermodynamically consistent model of self-gravitational accretion and differentiation in planets. The system is modeled in actual variables as a compressible thermoviscoelastic fluid in a fixed, sufficiently large domain. The supply of material to the accreting and differentiating system is described as a bulk source of mass, volume, impulse, and energy localized in some border region of the domain. Mass, momentum, and energy conservation, along with constitutive relations, result in an extended compressible Navier–Stokes-Fourier-Poisson system. The centrifugal and Coriolis forces are also considered. After studying some single-component setting, we consider a two-component situation, where metals and silicates mix and differentiate under gravity, eventually forming a core-mantle structure. The energetics of the models are elucidated. Moreover, we prove that the models are stable, in that self-gravitational collapse is excluded. Eventually, we comment on the prospects of devising a rigorous mathematical approximation and existence theory.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10308 - Astronomy (including astrophysics,space science)

Projekt

<a href="/cs/project/GC23-04676J" target="_blank" >GC23-04676J: Řiditelná úchopová mechanika: Modelování, řízení a experimenty</a><br>

Návaznosti

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění

2024

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název periodika

Journal of Physics A-Mathematical and Theoretical

ISSN

1751-8113

e-ISSN

1751-8121

Svazek periodika

57

Číslo periodika v rámci svazku

45

Stát vydavatele periodika

US - Spojené státy americké

Počet stran výsledku

27

Strana od-do

455701

Kód UT WoS článku

001342255900001

EID výsledku v databázi Scopus

2-s2.0-85208380624