Hölder regularity of the Boltzmann equation in some non-convex domains.

التفاصيل البيبلوغرافية
العنوان: Hölder regularity of the Boltzmann equation in some non-convex domains.
المؤلفون: Lee, Donghyun1 (AUTHOR) donglee@postech.ac.kr, Kim, Chanwoo2 (AUTHOR) ckim.pde@gmail.com
المصدر: AIP Conference Proceedings. 2024, Vol. 2996 Issue 1, p1-10. 10p.
مصطلحات موضوعية: *BOLTZMANN'S equation, *CONVEX domains
مستخلص: We study C x , v 0 , 1 2 − Hölder regularity of the Boltzmann equation outside of uniform convex object under specular reflection boundary condition. In particular, this result is different to other boundary conditions in which the solutions can be discontinuous [1] and BV regularity [2]. We define Specular Singularities and introduce Shift method to use ODE argument for Specular Singularities. [ABSTRACT FROM AUTHOR]
قاعدة البيانات: Academic Search Index
الوصف
تدمد:0094243X
DOI:10.1063/5.0187398