title: ÐÑÐ¸Ð¼ÐµÐ½ÐµÐ½Ð¸Ðµ Ð²Ð°ÑÐ¸Ð°ÑÐ¸Ð¾Ð½Ð½Ð¾Ð³Ð¾ Ð¸ Ð°ÑÐ¸Ð¼Ð¿ÑÐ¾ÑÐ¸ÑÐµÑÐºÐ¾Ð³Ð¾ Ð¼ÐµÑÐ¾Ð´Ð¾Ð² Ðº ÑÐµÑÐµÐ½Ð¸Ñ Ð·Ð°Ð´Ð°Ñ Ð¾ ÐºÐ°Ð¿Ð»Ðµ Ð¸ Ð¶Ð¸Ð´ÐºÐ¾Ð¼ Ð¼Ð¾ÑÑÐµ
title: ÑÑÐµÐ±Ð½Ð¾Ðµ Ð¿Ð¾ÑÐ¾Ð±Ð¸Ðµ
titleType: Subtitle
title: Application of variational and asymptotic methods to solving the drop and liquid bridge problems
Creators: name: ÐÐ°Ð»Ð°ÐºÑÐ¸Ð¾Ð½Ð¾Ð²Ð°, ÐÐ°Ð´ÐµÐ¶Ð´Ð°
Publisher: name: ÐÐÐÐÐ¢ÐÐ¥-ÐÐ ÐÐ¡Ð¡
Year: 2024
Subjects: ÐÐ°ÑÐµÐ¼Ð°ÑÐ¸ÑÐµÑÐºÐ°Ñ ÑÐ¸Ð·Ð¸ÐºÐ°

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description: The training manual corresponds to the content of the federal disciplines of the state standard in the majors 01.03.03 Â«Mechanics and Mathematical ModelingÂ», 03.03.01 Â«Applied MathematicsÂ» and 03.04.01 Â«Applied PhysicsÂ». Some issues in the course of calculus of variations concerning the variational formulation of problems and derivation of the respective equations are described. Various types of boundary conditions, i.e, transversalitv conditions and Weierstrass-Erdmann conditions, are discussed. The small parameter method is considered. As examples of applying the variational and asymptotic methods, approximate solutions for the drop and liquid bridge problems are constructed. Problems related to the growth of crystals from a melt are considered. It is intended for students studying in the majors 01.03.03 Â«Applied MathematicsÂ» and 03.04.01 Â«Applied PhysicsÂ», as well as for those who need to solve engineering problems using the tools of mathematical physics.