Advances in Mathematical Fluid Mechanics

Isotropically and Anisotropically Weighted Sobolev Spaces for the Oseen Equation.- A New Model of Diphasic Fluids in Thin Films.- On the Global Integrability for Any Finite Power of the Full Gradient for a Class of Generalized Power Law Models #x003C; 2.- Steady Flow Around a Floating Body: The Rotationally Symmetric Case.- On a Stochastic Approach to Eddy Viscosity Models for Turbulent Flows.- Numerical Study of the Significance of the Non-Newtonian Nature of Blood in Steady Flow Through a Stenosed Vessel.- A Priori Convergence Estimates for a Rough Poisson-Dirichlet Problem with Natural Vertical Boundary Conditions.- Vortex Induced Oscillations of Cylinders at Low and Intermediate Reynolds Numbers.- One-dimensional Modelling of Venous Pathologies: Finite Volume and WENO Schemes.- On the Energy Equality for Weak Solutions of the 3D Navier-Stokes Equations.- The ( #x002D; ) Coupled Fluid-Energy Systems.- A Potential-Theoretic Approach to the Time-Dependent Oseen System.- Regularity of Weak Solutions for the Navier-Stokes Equations Via Energy Criteria.- Looking for the Lost Memory in Diffusion-Reaction Equations.- Maximum Principle and Gradient Estimates for Stationary Solutions of the Navier-Stokes Equations: A Partly Numerical Investigation.- A Study of Shark Skin and Its Drag Reducing Mechanism.- Stability of Poiseuille Flow in a Porous Medium.- Towards a Geometrical Multiscale Approach to Non-Newtonian Blood Flow Simulations.- The Role of Potential Flow in the Theory of the Navier-Stokes Equations.- Small Perturbations of Initial Conditions of Solutions of the Navier#x2013;Stokes Equations in the L#x2013;Norm and Applications.- Streaming Flow Effects in the Nearly Inviscid Faraday Instability.- The Dirichlet Problems for Steady Navier-Stokes Equations in Domains with Thin Channels.- Existence of Weak Solutions to the Equations of Natural Convection with Dissipative Heating.- A Weak Solvability of the Navier-Stokes Equation with Navier#x2019;s Boundary Condition Around a Ball Striking theWall.- On the Influence of an Absorption Term in Incompressible Fluid Flows.- Adaptive FE Eigenvalue Computation with Applications to Hydrodynamic Stability.- Numerical Simulation of Laminar Incompressible Fluid-Structure Interaction for Elastic Material with Point Constraints.- On Stokes#x0027; Problem.- On a Semigroup Associated with a Modified Oseen Equation with Rotating Effect.- A New Approach to the Regularity ofWeak Lq-Solutions of Stokes and Similar Equations via the Cosserat Operator.- Large Time Behavior of Energy in Some Slowly Decreasing Solutions of the Navier-Stokes Equations.- A Selected Survey of the Mathematical Theory of 1D Flows.- A Numerical Method for Nonstationary Stokes Flow.- A New Criterion for Partial Regularity of Suitable Weak Solutions to the Navier-Stokes Equations.- An In Vitro Device for Evaluation of Cellular Response to Flows Found at the Apex of Arterial Bifurcations.