Details

Autor(en) / Beteiligte

• Chen, Hongxu
• Kim, Chanwoo

Titel

Gradient Decay in the Boltzmann Theory of Non-isothermal Boundary

Ist Teil von

• Archive for rational mechanics and analysis, 2024-04, Vol.248 (2), p.14, Article 14

Ort / Verlag

Berlin/Heidelberg: Springer Berlin Heidelberg

Erscheinungsjahr

2024

Quelle

SpringerLink

Beschreibungen/Notizen

• We consider the Boltzmann equation in a convex domain with a non-isothermal boundary of diffuse reflection. For both unsteady/steady problems, we construct solutions belonging to W x 1 , p for any p < 3 . We prove that the unsteady solution converges to the steady solution in the same Sobolev space exponentially quickly as t → ∞ .