Diffusion Limits for Discrete Velocity Models in a Thin Gap
نویسندگان
چکیده
We consider discrete kinetic models of a gas moving in a small gap with thickness h. Under an appropriate scaling of the variables, we introduce a formal series expansion to study the limit h→ 0. As a necessary condition for the validity of the expansion we derive a nonlinear diffusion equation.
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ورودعنوان ژورنال:
- Multiscale Modeling & Simulation
دوره 6 شماره
صفحات -
تاریخ انتشار 2007