Stationary BGK models for chemically reacting gas in a slab
- Title
- Stationary BGK models for chemically reacting gas in a slab
- Author
- 김도헌
- Keywords
- BGK model; Boltzmann equation; Chemically reacting gases; Gas mixtures; Kinetic theory of gases; Stationary problems
- Issue Date
- 2021-08
- Publisher
- SPRINGER
- Citation
- Journal of Statistical Physics. Aug2021, Vol. 184 Issue 2, p1-33. 33p.
- Abstract
- We study the boundary value problem of two stationary BGK-type models—the BGK model
for fast chemical reaction and the BGK model for slow chemical reaction—and provide a
unified argument to establish the existence and uniqueness of stationary flows of reactive
BGK models in a slab. For both models, the main difficulty arise in the uniform control of the
auxiliary parameters from above and below, since, unlike the BGK models for non-reactive
gases, the auxiliary parameters for the reactive BGK models are defined through highly
nonlinear relations. To overcome this difficulty, we introduce several nonlinear functionals
that capture essential structures of such nonlinear relations such as the monotonicity in
specific variables, that enable one to derive necessary estimates for the auxiliary parameters.
- URI
- https://link.springer.com/article/10.1007/s10955-021-02810-5https://repository.hanyang.ac.kr/handle/20.500.11754/172465
- ISSN
- 0022-4715
- DOI
- 10.1007/s10955-021-02810-5
- Appears in Collections:
- COLLEGE OF SCIENCE AND CONVERGENCE TECHNOLOGY[E](과학기술융합대학) > APPLIED MATHEMATICS(응용수학과) > Articles
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