18 citations · 65 across the 11 of their papers we have counts for
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On Maximal Total Entropy Production Models for Steady Evaporation of a Calorically Perfect Polyatomic Gas
Niclas Bernhoff, Eddie Wadbro
This study investigates the boundary conditions for fluid-dynamic equations at the interface of a gas and its condensed phase during steady evaporation of a polyatomic gas. Evapora…
Two-temperature fluid models for a polyatomic gas based on kinetic theory for nearly resonant collisions
Kazuo Aoki, Niclas Bernhoff
A polyatomic ideal gas with weak interaction between the translational and internal modes is considered. For the purpose of describing the behavior of such a gas, a Boltzmann equat…
The half-space problem of evaporation and condensation for polyatomic gases and entropy inequalities
Niclas Bernhoff, Stephane Brull, Eddie Wadbro
This study investigates the steady Boltzmann equation in one spatial variable for a polyatomic single-component gas in a half-space. Inflow boundary conditions are assumed at the h…
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…
Linearized Boltzmann collision operator for a mixture of monatomic and polyatomic chemically reacting species
Niclas Bernhoff
At higher altitudes, for high temperature gases, for instance near space shuttles moving at hypersonic speed, not only mechanical collisions are affecting the gas flow, but also ch…
Compactness property of the linearized Boltzmann collision operator for a mixture of monatomic and polyatomic species
Niclas Bernhoff
The linearized Boltzmann collision operator has a central role in many important applications of the Boltzmann equation. Recently some important classical properties of the lineari…
Compactness property of the linearized Boltzmann collision operator for a multicomponent polyatomic gas
Niclas Bernhoff
The linearized Boltzmann collision operator is fundamental in many studies of the Boltzmann equation and its main properties are of substantial importance. The decomposition into a…
Linearized Boltzmann Collision Operator: I. Polyatomic Molecules Modeled by a Discrete Internal Energy Variable and Multicomponent Mixtures
Niclas Bernhoff
The linearized collision operator of the Boltzmann equation can in a natural way be written as a sum of a positive multiplication operator, the collision frequency, and an integral…
Linear Half-Space Problems in Kinetic Theory: Abstract Formulation and Regime Transitions
Niclas Bernhoff
Half-space problems in the kinetic theory of gases are of great importance in the study of the asymptotic behavior of solutions of boundary value problems for the Boltzmann equatio…
Linearized Boltzmann Collision Operator: II. Polyatomic Molecules Modeled by a Continuous Internal Energy Variable
Niclas Bernhoff
The linearized collision operator of the Boltzmann equation for single species can be written as a sum of a positive multiplication operator, the collision frequency, and a compact…
On the Boundary Layer Equations with Phase Transition in the Kinetic Theory of Gases
Niclas Bernhoff, François Golse
Consider the steady Boltzmann equation with slab symmetry for a monatomic, hard sphere gas in a half space. At the boundary of the half space, it is assumed that the gas is in cont…