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math.AP2026
Well-posedness for the spatially inhomogeneous Fermi-Dirac-Fokker-Planck equation
Gayrat Toshpulatov
This paper is concerned with the spatially inhomogeneous Fermi-Dirac-Fokker-Planck equation posed on a classical kinetic phase space. The nonlinear factor appears both in…
math.AP2026
Convergence to global equilibrium for the semiconductor Boltzmann equation
Gayrat Toshpulatov
The Boltzmann equation describing the transport of electrons in semiconductor devices with an external electrostatic potential is considered when the spatial variable is in a torus…
math.AP2026
Long time behavior of Fokker-Planck equations for bosons and fermions
Anton Arnold, Marlies Pirner, Gayrat Toshpulatov
This paper is concerned with space inhomogeneous quantum Fokker-Planck equations posed on a classical kinetic phase space. The nonlinear factor appears both in the tran…