On moments and uniqueness for solutions to the space homogeneous Boltzmann equation

doi:10.1080/00411459408203878

beta

On moments and uniqueness for solutions to the space homogeneous Boltzmann equation

B. Wennberg

Feb 1, 1994

Citations

Journal

Transport Theory and Statistical Physics

Full text

Semantic Scholar

Key Takeaway

Key Takeaway: The space homogeneous Boltzmann equation solutions possess all moments, but this result does not hold for pseudo-Maxwellian molecules.

Abstract

Abstract Recently Desvillettes proved that the solutions to the space homogeneous Boltzmann equation possess all moments, provided that the initial data have 2 + ∊ moments in L 1. Here an alternative proof of this statement is presented, together with a proof that the result does not hold for pseudo-Maxwellian molecules. Two implications of the result are discussed: an analogous L p-result and an improved uniqueness result.

Text copied to clipboard

copied to clipboard