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Generalized Logarithmic Sobolev inequalities on Bounded Domains and exponential decay to Boltzmann states for Nernst--Planck--Navier--Stokes systems
We derive logarithmic Sobolev inequalities on bounded domains for nonnegative functions that are prescribed on a portion of the boundary, and for Boltzmann-weighted reference measures. We use them to address the long-time dynamics of the Nernst--Planck--Navier--Stokes system with Dirichlet, blocking
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