Paper

Sharp regularity and Cauchy problem of the spatially homogeneous Boltzmann equation with Debye-Yukawa potential

Glangetas, Léo, Hao-Guang Li

2015

نظرة عامة

In this paper, we study the Cauchy problem for the linear spatially homogeneous Boltzamnn equation with Debye-Yukawa potential. Using the spectral decomposition of the linear operator, we prove that, for an initial datum in the sense of distribution which contains the dual of the Sobolev spaces, there exists a unique solution which belongs to a more regular Sobolev space for any positive time. We also study the sharp regularity of the solution.

• الناشر: Cornell University Library, arXiv.org
• موضوع: Boltzmann transport equation / Cauchy problems / Datum (elevation) / Eulers equations / Linear operators / Regularity / Sobolev space / Yukawa potential