Establishes up to d+1 order pointwise polynomial velocity decay for weak solutions of the non-cutoff Boltzmann equation in bounded domains with in-flow, bounce-back, specular, diffuse and Maxwell boundaries, conditional on mass-energy-entropy control.
Ca˜ nizo, Irene Gamba, and Cl´ ement Mouhot
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Conditional appearance of decay for the non-cutoff Boltzmann equation in a bounded domain
Establishes up to d+1 order pointwise polynomial velocity decay for weak solutions of the non-cutoff Boltzmann equation in bounded domains with in-flow, bounce-back, specular, diffuse and Maxwell boundaries, conditional on mass-energy-entropy control.