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.
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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.