An Inverse Problem in Cloud Microphysics: Reconstruction of the Solution of the Equation of Coalescence of Two Components (water and aerosol), from Its Orthogonal Projections.

In this work we assume that the reconstruction of the solution of the coalescence equation is an ill-posed inverse problem, since its mathematical formulation leads to a system of linear algebraic equations with more unknowns than equations, where the matrix has incomplete range and a particular structure. The presentation also includes an algorithm and computational results, for a constant kernerl and given initial conditions.