This volume "Stability Problems in Mechanics of Continua" is dedicated to the 60th birthday of Prof. DSc. Dmitri Vladimirovich Georgievskii, who has devoted much of his academic career to continuum mechanics, its applications and related fields. The honoree has numerous friends and colleagues in the Russian Federation and abroad, resulting in 37 contributions. Modern problems of continuum mechanics (in general, including thermodynamics), mechanics of deformable solids, aero- and hydroelasticity, wave dynamics, composite mechanics, and computational aspects are presented in different manner and notations. The main focus in many of the articles will be on the stability of deformation and flow processes. However, the concept of "stability" is quite general, and it requires clarification in each application. This includes formulating a definition of the main (unperturbed) process, introducing mathematical models of disturbances, and measures by which both initial and ongoing disturbances are assessed.
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