Kil’chevskij, N. A.; Kil’chinskaya, G. A.; Tkachenko, N. E. Analytical mechanics of continual systems. (Analiticheskaya mekhanika kontinual’nykh sistem.). (Russian) Zbl 0447.73001 Akademiya Nauk Ukrainskoj SSR, Institut Mekhaniki. Kiev: ”Naukova Dumka”. 188 p. R. 1.70 (1979). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 3 Documents MSC: 74-02 Research exposition (monographs, survey articles) pertaining to mechanics of deformable solids 74F05 Thermal effects in solid mechanics 74A15 Thermodynamics in solid mechanics 70F99 Dynamics of a system of particles, including celestial mechanics 70H99 Hamiltonian and Lagrangian mechanics 70H03 Lagrange’s equations 49M29 Numerical methods involving duality 49S05 Variational principles of physics 70H25 Hamilton’s principle 70H30 Other variational principles in mechanics Keywords:multicomponent fluid flow; Lagrangian mechanics; four types of internal constraints; Lagrangian multipliers connected with internal deffects of material; Jourdain’s principle; Gauss’s principle of the least constraint; Lagrange’s equations of the second kind; Hamilton’s canonical equations in continuum theory; principles of D’Alembert; nonpotential continuum; two-components fluid flow PDFBibTeX XML