Strong smoothing for the non-cutoff homogeneous Boltzmann equation for Maxwellian molecules with Debye-Yukawa type interaction
Abstract:
We study weak solutions of the homogeneous Boltzmann equation for Maxwellian molecules with a logarithmic singularity of the collision kernel for grazing collisions. Even though in this situation the Boltzmann operator enjoys only a very weak coercivity estimate, it still leads to strong smoothing of weak solutions in accordance to the smoothing expected by an analogy with a logarithmic heat equation.
| Zugehörige Institution(en) am KIT | Institut für Analysis (IANA) Sonderforschungsbereich 1173 (SFB 1173) |
| Publikationstyp | Forschungsbericht/Preprint |
| Publikationsjahr | 2015 |
| Sprache | Englisch |
| Identifikator | ISSN: 2365-662X urn:nbn:de:swb:90-513073 KITopen-ID: 1000051307 |
| Verlag | Karlsruher Institut für Technologie (KIT) |
| Umfang | 20 S. |
| Serie | CRC 1173 ; 2015/7 |
| Schlagwörter | smoothing of weak solutions, non-cutoff homogeneous Boltzmann equation, Debye-Yukawa potential, Maxwellian molecules |