Samenvatting:
Molten Carbonate Fuel Cells (MCFC) are one variety of fuel cell that has
been widely studied in recent years.
These studies have identified a number of interesting mathematical problems,
one of which I term ``The Electrolyte Wedge Problem'' (EWP).
This talk will describe some of the basic electrochemistry for MCFC cathodes,
setting the stage to define an overall reaction-diffusion-conduction
problem.
Next the problem will be posed in terms of electrochemical potentials, and
computations will be presented to demonstrate why EWP is of interest.
Then the existence of unique, bounded solutions will be proven, and matched
asymptotics will be used to derive representations for the solutions which
are uniformly valid in the wedge.
As time permits, some of the important physical implications for this work
will also be discussed.