The advantages of the study of the stability and instability of models in fluid mechanics are presented by world-recognized specialists in mathematical analysis, PDEs, optimal control, etc. The two volumes are available separately, or together at a reduced price for the two-volume set. See the entries for the individual volumes for details of the coverage of each volume.
Key chapters from Vol I and II (see the entries for each volume for the full contents lists): On Aspects of Control Theory and Instability, A. Agrachev.- On Hamiltonian Systems, S. B. Kuksin.- Well-posedness of Mathematical Models of Mechanics and Thermodynamics, E. Radkevich.- Dynamical Approach for Elliptic Systems, S. Zelik.- Dynamic and Control Systems, Armen Shirikyan.- Linearization method in Hydrodynamical Stability Theory, V. Yudovich.- Fluid flow in a very Non-Homogeneous Porous Medium, Aleksandr Shnirelman.- An Eulerian-Lagrangian Approach for Incompressible Fluids, P.Constantin.- On new models in thermodynamics, S.K.Godunov.- Global steady-state controllability, Jean-Michel Coron.- Models for Spin Glasses, Michel Talgarand.- Wavelets and turbulence, Vale'rie Perrier.- Some methods for solving evolution problems in mathematical physics, A. Zlotnik.- Nonlinear instability in an ideal fluid, M.M.Vishik.- The instability of stratified flows, Andrew Majda.
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