Phase transition retrieval through in situ observations

The aim of the investigation is to retrieve phase transitions upon heating moisture-containing materials using a limited number available observations specimen's moisture state. Experimental data processing treated as an approximation by class model functions satisfying given differential equation. problem formulation differs from traditional parameter estimation and function reconstruction problems. proposed based on relaxing regularization complex mathematical object that requires sequential sample series inverse solutions. constructed under condition measured weakly capture changes in properties state study. This necessitates high-resolution technique must guarantee consistency with noise observations. ensures high-dimensional basis accounts for ill-conditioned numerical discretization. three demonstrates effective study kinetics desorption specimens internal structure. For first time, it established thin-layer drying can involve transitions. latter causes drop rate, which prevents removal. Traditional post-processing experimentally determined curve its direct differentiation does not reflect mass transfer blocking leads restricted interpretation experimental data. multiphase science technology, analogous computed tomography, numerically extracts essential information about hidden processes observed methods ill-posed