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5 papers · 1 filter
Equilibrium Solution to the Inelastic Boltzmann Equation Driven by a Particles Thermal Bath
Marzia Bisi, Jose A. Carrillo, Bertrand Lods
We show the existence of smooth stationary solutions for the inelastic Boltzmann equation under the thermalization induced by a host-medium with a fixed distribution. This is achie…
Integral representation of the linear Boltzmann operator for granular gas dynamics with applications
Luisa Arlotti, Bertrand Lods
We investigate the properties of the collision operator associated to the linear Boltzmann equation for dissipative hard-spheres arising in granular gas dynamics. We establish that…
Asymptotics of Eigenvalues and Eigenfunctions for the Laplace Operator in a Domain with Oscillating Boundary. Multiple Eigenvalue Case
Youcef Amirat, Gregory A. Chechkin, Rustem R. Gadyl'shin
We study the asymptotic behavior of the solutions of a spectral problem for the Laplacian in a domain with rapidly oscillating boundary. We consider the case where the eigenvalue o…
A new approach to transport equations associated to a regular field: trace results and well-posedness
Luisa Arlotti, Jacek Banasiak, Bertrand Lods
We generalize known results on transport equations associated to a Lipschitz field on some subspace of endowed with some general space measure . We p…
Asymptotic behaviour of the inductance coefficient for thin conductors
Rachid Touzani, Youcef Amirat
We study the asymptotic behaviour of the inductance coefficient for a thin toroidal inductor whose thickness depends on a small parameter $\eps>0$. We give an explicit form of the…