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.

Tuesday, 16 December 2014
Rosa Margarita Alvarez1, Jose Guerrero2, Julio Roberto Murillo1 and Lester Augusto Alfonso1, (1)Universidad Autónoma de la Ciudad de México, Matemáticas, México City, Mexico, (2)Universidad Nacional Autonoma de Mexico, Matemáticas, Mexico City, Mexico
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.