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pro vyhledávání: '"Čolić, Milana"'
In this article, we recall various existing kinetic models of non-reactive polyatomic gases. We also review the results, all recently obtained, about the compactness of the associated linearized Boltzmann operator, and briefly investigate the mixture
Externí odkaz:
http://arxiv.org/abs/2407.11452
Autor:
Alonso, Ricardo, Pavić-Čolić, Milana
This paper explores the $L^{p}$ Lebesgue's integrability propagation, $p\in(1,\infty]$, of a system of space homogeneous Boltzmann equations modelling a multi-component mixture of polyatomic gases based on the continuous internal energy. For typical
Externí odkaz:
http://arxiv.org/abs/2305.06749
From a unified vision of vector valued solutions in weighted Banach spaces, this manuscript establishes the existence and uniqueness for space homogeneous Boltzmann bi-linear systems with conservative collisional forms arising in complex gas dynamica
Externí odkaz:
http://arxiv.org/abs/2304.06005
In this paper, we present an energy method for the system of Boltzmann equations in the multicomponent mixture case, based on a micro-macro decomposition. More precisely, the perturbation of a solution to the Boltzmann equation around a global equili
Externí odkaz:
http://arxiv.org/abs/2110.07213
Autor:
Gamba, Irene M., Pavić-Čolić, Milana
In the present manuscript we consider the Boltzmann equation that models a polyatomic gas by introducing one additional continuous variable, referred to as microscopic internal energy. We establish existence and uniqueness theory in the space homogen
Externí odkaz:
http://arxiv.org/abs/2005.01017
In this paper, we consider the kinetic model of continuous type describing a polyatomic gas in two different settings corresponding to a different choice of the functional space used to define macroscopic quantities. Such a model introduces a single
Externí odkaz:
http://arxiv.org/abs/2004.12225
With the existence and uniqueness of a vector value solution for the full non-linear homogeneous Boltzmann system of equations describing multi-component monatomic gas mixtures for binary interactions proved [8], we present in this manuscript several
Externí odkaz:
http://arxiv.org/abs/2001.09204
Autor:
Pavić-Čolić, Milana
In this paper, we consider Euler-like balance laws for mixture components that involve macroscopic velocities and temperatures for each different species. These laws are not conservative due to mutual interaction between species. In particular, sourc
Externí odkaz:
http://arxiv.org/abs/1903.12057
Autor:
Gamba, Irene M., Pavić-Čolić, Milana
Publikováno v:
Arch. Ration. Mech. Anal. (2020) 235 no.1, 723-781
We solve the Cauchy problem for the full non-linear homogeneous Boltzmann system of equations describing multi-component monatomic gas mixtures for binary interactions in three dimensions. More precisely, we show existence and uniqueness of the vecto
Externí odkaz:
http://arxiv.org/abs/1806.09331
Autor:
Pavić-Čolić, Milana, Tasković, Maja
We study the spatially homogeneous Boltzmann equation for Maxwell molecules, and its $1$-dimensional model, the Kac equation. We prove propagation in time of stretched exponential moments of their weak solutions, both for the angular cutoff and the a
Externí odkaz:
http://arxiv.org/abs/1704.03400