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This self-contained book explores various theoretical problems that arise in the mathematical description of capillary flows, such as the spreading of liquids on solids and the formation of drops, where conventional modeling leads to nonphysical singularities. It examines the advantages and disadvantages of theoretical approaches to modeling singular flows and identifies a common physical mechanism behind seemingly different singular capillary phenomena. This unifying approach forms the basis for simple, ready-to-use, experimentally verified models along with many solutions that illustrate the models' application to problems of practical importance.
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