Asymptotics of solutions for a class of quasilinear second-order ordinary differential equations
A class of quasilinear second-order ordinary differential equations is investigated. The equations describe a convective diffusion near a spherical drop in the presence of a volume chemical reaction. In the case that the Peclet number \(Pe\) and the rate constant \(k_v\) of the volume chemical reaction tend to infinity, existence and uniqueness of a solution is established along with a construction of the leading term in the formal asymptotic solution, and the asymptotic properties of the solution are then studied. Numerical simulations are also performed.
scientific article; zbMATH DE number 5729817