Variational Models and Methods in Solid and Fluid Mechanics
Suggested readings
J. Salençon Mécanique des milieux continus Les Editions de l’École polytechnique Paris 2005.
Bedford A., Drumheller D.S.: A variational theory of immiscible mixtures. Arch. Rational Mech. Anal. 68, 37–51 (1978).
F. dell’Isola, A. Madeo, P. Seppecher. “Boundary Conditions in Porous Media: A Variational Approach”. Int. Journal of Solids and Structures Vol. 46, (2009), 3150–3164.
A. Carcaterra, A. Akay, “Theoretical foundation of apparent damping and energy irreversible energy exchange in linear conservative dynamical systems”, Journal of Acoustical Society of America, vol. 121, 1971–1982 (2007).
G.K. Vallis. Atmospheric and Oceanic Fluid Dynamics: Fundamentals and Large-scale Circulation. Cambridge University Press, Cambridge, 2006.
S. Gavrilyuk, N. Favrie and R. Saurel, Modelling Wave Dynamics of Compressible Elastic Materials, J. Computational Physics, v. 227, 2941–2969 (2009).
B. Bourdin, G.A. Francfort & J.-J. Marigo, The variational approach to fracture, J. Elasticity, 91, 1–3, 2008, 1–148 (also appeared as a Springer book: ISBN: 978–1-4020–6394-7).
D.D. Holm, J.E. Marsden, and T.S. Ratiu. The Euler-Poincaré equations in geophysical fluid dynamics. In J. Norbury and I. Roulstone, editors, Large-Scale Atmosphere-Ocean Dynamics 2: Geometric Methods and Models, pages 251–299. Cambridge University Press, Cambridge, 2004.
V. Berdichevsky, Variational Principles of Continuum Mechanics, Springer, 2009.