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6 papers
A kinetic model for polyatomic gas with quasi-resonant collisions leading to bi-temperature relaxation processes
Thomas Borsoni, Laurent Boudin, Julien Mathiaud +1
In this article, we extend the Boltzmann framework for polyatomic gases by introducing quasi-resonant kernels, which relax resonant interactions, for which kinetic and internal ene…
Compactness of linearized Boltzmann operators for polyatomic gases
Niclas Bernhoff, Laurent Boudin, Milana Čolić +1
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 associa…
Compactness property of the linearized Boltzmann operator for a polyatomic gas undergoing resonant collisions
Thomas Borsoni, Laurent Boudin, Francesco Salvarani
In this paper, we investigate a compactness property of the linearized Boltzmann operator in the context of a polyatomic gas whose molecules undergo resonant collisions. The peculi…
Energy method for the Boltzmann equation of monatomic gaseous mixtures
Laurent Boudin, Bérénice Grec, Milana Pavić-Čolić +1
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 pertu…
Exponential convergence towards consensus for non-symmetric linear first-order systems in finite and infinite dimensions
Laurent Boudin, Francesco Salvarani, Emmanuel Trélat
We consider finite and infinite-dimensional first-order consensus systems with timeconstant interaction coefficients. For symmetric coefficients, convergence to consensus is classi…
Stability of the spectral gap for the Boltzmann multi-species operator linearized around non-equilibrium Maxwell distributions
Andrea Bondesan, Laurent Boudin, Marc Briant +1
We consider the Boltzmann operator for mixtures with cutoff Maxwellian, hard potentials, or hard spheres collision kernels. In a perturbative regime around the global Maxwellian eq…