Description of the supplementary movies
Movie 1: Temporal evolution of the liquid layer thickness for the case of   , ,  and . Time in the movie is dimensionless value despite of that they are given in second which is meaningless. To obtain real time in second, it has to multiply by the conversion factor in Table 3. In this case, the conversion factor is 2500.

Movie 2: Temporal evolution of the concentration field for the case of   , ,  and . Time in the movie is dimensionless value despite of that they are given in second which is meaningless. To obtain real time in second, it has to multiply by the conversion factor in Table 3. In this case, the conversion factor is 2500.

Movie 3: Temporal evolution of the concentration field for the case of   , ,   and . This movie corresponds to the concentration field under the static assumption. Time in the movie is dimensionless value despite of that they are given in second which is meaningless. To obtain real time in second, it has to multiply by the conversion factor in Table 3. In this case, the conversion factor is 2500.