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Contact geometry in physics and control theoryучебный курс
- Автор: Кушнер А.Г.
- Год создания: 2012
- Организация: МГУ имени М.В. Ломоносова
- Описание: The aim of the lectures is to introduce the students to a geometric study of non-linear differential equations of mathematics physics. Main topics of the lectures: • Contact structures and jet spaces. • Symmetries of differential equations and integrability in quadratures. • Schrödinger equations and integrable potentials. • Spectral problems for Korteveg–de Vries potentials. • Lychagin's non-linear differential operators and Monge-Ampere equations. • Conservative lows and singularities of the solutions. • Shock waves in non-linear acoustics and in models of oil frontal displacement. • Numeric methods and discreet schemes in jet spaces.
- Добавил в систему: Кушнер Алексей Гурьевич