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.
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.
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.