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A non-stationary problem coupling PDEs and ODEs modelizing an automotive catalytic converter

J. -D. Hoernel
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Abstract

In this paper we prove the existence and uniqueness of the solution of a non-stationary problem that modelizes the behaviour of the concentrations and the temperature of gases going through a cylindrical passage of an automotive catalytic converter. This problem couples parabolic partial differential equations in a domain with one parabolic partial differential equation and some ordinary differential equations on a part of its boundary.

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J. -D. Hoernel. 2005-12-15. A non-stationary problem coupling PDEs and ODEs modelizing an automotive catalytic converter. https://arxiv.org/abs/math/0512371

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