Singularity of Macroscopic Variables Near Boundary for Gases with Cutoff Hard Potential

Autor:	I-Kun Chen, Chun-Hsiung Hsia
Rok vydání:	2015
Předmět:	Logarithm Applied Mathematics Operator (physics) Condensation Mathematical analysis Boundary (topology) Boltzmann equation Computational Mathematics symbols.namesake Singularity Boltzmann constant symbols Cutoff Analysis Mathematics
Zdroj:	SIAM Journal on Mathematical Analysis. 47:4332-4349
ISSN:	1095-7154 0036-1410
DOI:	10.1137/140986220
Popis:	In this article, the boundary singularity for stationary solutions to the linearized Boltzmann equation with cutoff hard potential is analyzed. A technique using the Holder-type continuity of the integral operator to obtain the integrability of the derivatives of the macroscopic variables is developed. We establish the asymptotic approximation for the gradient of the moments. Our analysis indicates the logarithmic singularity of the gradient of the moments. In particular, our theorem holds for the condensation and evaporation problem.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::af73f8b328502ecc362b766df0266530 https://doi.org/10.1137/140986220 Zobrazit plný text záznamu