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A collection of papers that presents the results and advances in stability theory as it relates to fluid flows. It is of interest for researchers in many fields, including mathematical analysis, theory of partial differential equations, optimal control, numerical analysis, and fluid mechanics.
Justifying Asymptotics for 3D Water–Waves.- Generalized Solutions of the Cauchy Problem for a Transport Equation with Discontinuous Coefficients.- Irreducible Chapman–Enskog Projections and Navier–Stokes Approximations.- Exponential Mixing for Randomly Forced Partial Differential Equations: Method of Coupling.- On Problem of Stability of Equilibrium Figures of Uniformly Rotating Viscous Incompressible Liquid.- Weak Spatially Nondecaying Solutions of 3D Navier–Stokes Equations in Cylindrical Domains.- On Global in Time Properties of the Symmetric Compressible Barotropic Navier–Stokes–Poisson Flows in a Vacuum.