Fractional diffusion limit of a linear Boltzmann model with reflective boundaries in a half-space

Asymptotic behavior of solutions to PDEs (35B40) Fractional derivatives and integrals (26A33) Kinetic theory of gases in equilibrium statistical mechanics (82B40) Initial-boundary value problems for PDEs with pseudodifferential operators (35S16)

Cites Work

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Ten equivalent definitions of the fractional Laplace operator
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Fractional diffusion limit of a kinetic equation with diffusive boundary conditions in the upper-half space
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Fractional diffusion limit for collisional kinetic equations: A moments method
Kinetic equations with Maxwell boundary conditions
On Neumann type problems for nonlocal equations set in a half space
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From the Boltzmann equation to the Stokes-Fourier system in a bounded domain
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Fractional diffusion limit of a kinetic equation with diffusive boundary conditions in a bounded interval
BOUNDARY PROBLEMS FOR FRACTIONAL LAPLACIANS
On stresses in rarefied gases arising from inequalities of temperature.

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