Handbook of Mathematical Analysis in Mechanics of Viscous Fluids

<p>Derivation Of Equations For Continuum Mechanics And Thermodynamics Of Fluids</p><p>Variational Modeling And Complex Fluids</p><p>The Stokes Equation in the L p -setting: Well-posedness and Regularity Properties</p><p>Stokes Problems in Irregular Domains with Various Boundary Conditions</p><p>Leray’s Problem on Existence of Steady State Solutions for the Navier-Stokes Flow</p><p>Stationary Navier-Stokes Flow in Exterior Domains and Landau Solutions</p><p>Steady-State Navier–Stokes Flow Around a Moving Body</p><p>Stokes Semigroups, Strong, Weak, and Very Weak Solutions for General Domains</p><p>Self-Similar Solutions to the Nonstationary Navier-Stokes Equations</p><p>Time-Periodic Solutions to the Navier-Stokes Equations</p><p>Large Time Behavior of the Navier–Stokes Flow</p><p>Critical Function Spaces for the Well-posedness of the Navier-Stokes Initial Value Problem</p><p>Existence and Stability of Viscous Vortices</p><p>Models and Special Solutions of the Navier–Stokes Equations</p><p>The Inviscid Limit and Boundary Layers for Navier-Stokes Flows</p><p>Regularity Criteria for Navier-Stokes Solutions</p><p>Stable Self-Similar Profiles for Two 1D Models of the 3D Axisymmetric Euler Equations</p><p>Vorticity Direction and Regularity of Solutions to the Navier-Stokes Equations</p><p>Recent Advances Concerning Certain Class of Geophysical Flows</p><p>Equations for Polymeric Materials</p><p>Modeling of Two-Phase Flows With and Without Phase Transitions</p><p>Equations for Viscoelastic Fluids</p>Modeling and Analysis of the Ericksen-Leslie Equations for Nematic Liquid Crystal Flows<p></p><p>Classical Well-posedness of Free Boundary Problems in Viscous Incompressible Fluid Mechanics</p><p>Stability of Equilibrium Shapes in Some Free Boundary Problems Involving Fluids</p><p>Weak Solutions and Diffuse Interface Models for Incompressible Two-Phase Flows</p><p>Water Waves With or Without Surface Tension</p><p>Concepts of Solutions in the Thermodynamics of Compressible Fluids</p><p>Weak Solutions for the Compressible Navier-Stokes Equations: Existence, Stability, and Longtime Behavior</p><p>Weak Solutions for  the Compressible Navier-Stokes Equations with Density Dependent Viscosities</p><p>Weak Solutions to 2D and 3D Compressible Navier-Stokes Equations in Critical Cases</p>Weak Solutions for the  Compressible Navier-Stokes Equations in the Intermediate Regularity Class<p></p><p>Symmetric Solutions to the Viscous Gas Equations</p><p>Local and Global Solutions for  the Compressible Navier-Stokes Equations   Near Equilibria Via the Energy Method</p><p>Fourier Analysis Methods for the Compressible Navier-Stokes Equations</p><p>Local and Global Existence of Strong Solutions for the Compressible Navier-Stokes Equations Near Equilibria Via the Maximal Regularity</p><p>Local and Global Solvability of Free Boundary Problems for the Compressible Navier–Stokes Equations Near Equilibria</p><p>Global Existence of Regular Solutions with Large Oscillations and Vacuum for  Compressible Flows</p><p>Global Existence of Classical Solutions and Optimal Decay Rate for  Compressible Flows Via the Theory of Semigroups</p><p>Finite Time Blow-up of Regular Solutions  for Compressible Flows</p>Blow-up Criteria of Strong Solutions and Conditional Regularity of Weak Solutions  for the Compressible Navier-Stokes Equations <p></p><p>Well-posedness and Asymptotic Behavior  for  Compressible Flows in One Dimension</p><p>Well-posedness of the IBVPs for the 1D Viscous Gas Equations</p><p>Waves in Compressible Fluids: Viscous Shock, Rarefaction, and Contact Waves</p><p>Existence of Stationary Weak Solutions for  Isentropic and Isothermal Compressible Flows</p><p>Existence of Stationary Weak Solutions for  Compressible Heat Conducting Flows</p><p>Existence and Uniqueness of Strong Stationary Solutions for Compressible Flows</p><p>Low Mach Number Limits and Acoustic Waves</p><p>Singular Limits for Models of Compressible, Viscous, Heat Conducting, and/or Rotating Fluids</p><p>Scale Analysis of Compressible Flows from an Application Perspective</p><p>Weak and Strong Solutions of Equations of Compressible Magnetohydrodynamics</p><p>Multi-fluid Models Including Compressible Fluids</p><p> </p><p>Solutions for Models of Chemically Reacting Compressible Mixtures</p>