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

A NON-STATIONARY PROBLEM COUPLING PDEs AND ODEs MODELIZING AN AUTOMOTIVE CATALYTIC CONVERTER

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 differ...

A New Approach for Inlet Diffuser of Automotive Catalytic Converter Considering Conversion Efficiency of Pollutants

The monolithic catalytic converter is still the main pollution control device for modern vehicles in order to reach the ever-increasing legislative demands for low emission standards. The catalytic converters require a large expansion from the exhaust pipe to the front face of the monolith. Unfortunately, packaging constraints often do not permit the use of long diffusers. Hence, flow separa...

a new approach for inlet diffuser of automotive catalytic converter considering conversion efficiency of pollutants

the monolithic catalytic converter is still the main pollution control device for modern vehicles in order to reach the ever-increasing legislative demands for low emission standards. the catalytic converters require a large expansion from the exhaust pipe to the front face of the monolith. unfortunately, packaging constraints often do not permit the use of long diffusers. hence, flow separatio...

From Nonlinear PDEs to Singular ODEs ?

We discuss a new approach for the numerical computation of self-similar blow-up solutions of certain nonlinear partial differential equations. These solutions become unbounded in finite time at a single point at which there is a growing and increasingly narrow peak. Our main focus is on a quasilinear parabolic problem in one space dimension, but our approach can also be applied to other problem...

A Short Course on: Spectral Methods for Fractional ODEs/PDEs