Global well-posedness and exponential decay to equilibrium are established for the multi-species Boltzmann equation with large-amplitude initial data under a small initial relative entropy assumption.
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Applies l²-decoupling to derive Strichartz and space-time bilinear estimates that imply unconditional uniqueness for the Boltzmann equation on R^d and T^d under Maxwellian/soft potentials with angular cutoff.
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.
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Global Well-posedness for the Multi-species Boltzmann Equation with Large Amplitude Initial Data
Global well-posedness and exponential decay to equilibrium are established for the multi-species Boltzmann equation with large-amplitude initial data under a small initial relative entropy assumption.
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$l^{2}$-decoupling and the unconditional uniqueness for the Boltzmann equation
Applies l²-decoupling to derive Strichartz and space-time bilinear estimates that imply unconditional uniqueness for the Boltzmann equation on R^d and T^d under Maxwellian/soft potentials with angular cutoff.
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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.