New Directions in Mathematical Fluid Mechanics

From the reviews: "The book ... is a collection of papers that represent the latest progress in a number of new important directions of Mathematical Physics, mainly of Mathematical Fluid Mechanics. ... The volume could be helpful to specialists as well as to researchers who would like to become acquainted with certain aspects of Mathematical Fluid Mechanics, and may also serve as a stimulating starting point for further research." (Ciprian Deliu, IASI Polytechnic Magazine, Vol. 22 (1/4), March-December, 2010)

• Boundary Control Problems for Stationary Equations of Heat Convection.- Homogenization of the Poisson—Boltzmann Equation.- Superconducting Vortices: Chapman Full Model.- Augmented Lagrangian Method and Compressible Visco-plastic Flows: Applications to Shallow Dense Avalanches.- Oscillatory Limits with Changing Eigenvalues: A Formal Study.- Finite-dimensional Control for the Navier—Stokes Equations.- On the Sharp Vanishing Viscosity Limit of Viscous Incompressible Fluid Flows.- Small Péclet Number Approximation as a Singular Limit of the Full Navier-Stokes-Fourier System with Radiation.- New Perspectives in Fluid Dynamics: Mathematical Analysis of a Model Proposed by Howard Brenner.- Existence of a Regular Periodic Solution to the Rothe Approximation of the Navier—Stokes Equation in Arbitrary Dimension.- Optimal Neumann Control for the Two-dimensional Steady-state Navier-Stokes equations.- On Some Boundary Value Problem for the Stokes Equations with a Parameter in an Infinite Sector.- Unilateral Contact Problems Between an Elastic Plate and a Beam.- On Lighthill’s Acoustic Analogy for Low Mach Number Flows.- On the Uniqueness of Solutions to Boundary Value Problems for Non-stationary Euler Equations.- On Nonlinear Stability of MHD Equilibrium Figures.- Viscous Flows in Domains with a Multiply Connected Boundary.- Problems with Insufficient Information about Initial-boundary Data.- On the Stability of Non-symmetric Equilibrium Figures of Rotating Self-gravitating Liquid not Subjected to Capillary Forces.- Dynamics of a Non-fixed Elastic Body.