A free boundary problem describing reaction-diffusion problems in chemical vapor infiltration of pyrolytic carbon
Chemical vapor deposition in hot wall reactors is the most frequently used process to deposite materials with different functional and structural properties. The authors consider the deposition of pyrolytic carbon from light hydrocarbons such as methane. The corresponding mathematical model is a system of reaction-diffusion equations in a corner domain supplied with the Gibbs-Thomson law. The authors prove the existence of local in time solutions. To this end the authors use contraction type arguments and transforming the Gibbs-Thompson law to local coordinates in order to obtain a nonlinear parabolic equation on a manifold.
scientific article; zbMATH DE number 2082193
scientific article