## Recent Developments of Mathematical Fluid MechanicsHerbert Amann, Yoshikazu Giga, Hideo Kozono, Hisashi Okamoto, Masao Yamazaki The aim of this proceeding is addressed to present recent developments of the mathematical research on the Navier-Stokes equations, the Euler equations and other related equations. In particular, we are interested in such problems as: |

### What people are saying - Write a review

We haven't found any reviews in the usual places.

### Contents

1 | |

13 | |

24 | |

Parabolic Equations on Uniformly Regular Riemannian Manifolds and Degenerate Initial Boundary Value Problems | 43 |

A Generalization of Some Regularity Criteria to the NavierStokes Equations Involving One Velocity Component | 78 |

The GradientSymmetric Case | 99 |

Thermodynamically Consistent Modeling for DissolutionGrowth of Bubbles in an Incompressible Solvent | 110 |

On Unsteady Internal Flows of Bingham Fluids Subject to Threshold Slip on the Impermeable Boundary | 135 |

On the Conjecture That μm | 257 |

Bounded Analyticity of the Stokes Semigroup on Spaces of Bounded Functions | 274 |

On the Weak Solution of the FluidStructure Interaction Problem for ShearDependent Fluids | 291 |

Stability of Time Periodic Solutions for the Rotating NavierStokes Equations | 320 |

Weighted LpLq Estimates of Stokes Semigroup in HalfSpace and Its Application to the NavierStokes Equations | 337 |

On Vorticity Formulation for Viscous Incompressible Flows in R3+ | 350 |

A Weak Solution to the NavierStokes System with Naviers Boundary Condition in a TimeVarying Domain | 375 |

Effects of FluidBoundary Interaction on the Stability of Boundary Layers in Plasma Physics | 401 |

Inhomogeneous Boundary Value Problems in Spaces of Higher Regularity | 157 |

BlowUp Criterion for 3D NavierStokes Equations and LandauLifshitz System in a Bounded Domain | 175 |

Local Regularity Results for the Instationary NavierStokes Equations Based on Besov Space Type Criteria | 183 |

On Global WellIllPosedness of the EulerPoisson System | 215 |

On the Motion of a LiquidFilled Rigid Body Subject to a TimePeriodic Torque | 232 |

On Incompressible TwoPhase Flows with Phase Transitions and Variable Surface Tension | 411 |

On the NashMoser Iteration Technique | 443 |

Rate of Convergence to the Stationary Solution of the NavierStokes Exterior Problem | 459 |

### Other editions - View all

Recent Developments of Mathematical Fluid Mechanics Herbert Amann,Yoshikazu Giga,Hideo Kozono,Hisashi Okamoto,Masao Yamazaki No preview available - 2016 |

### Common terms and phrases

ˇ ˇ Amann Anal analytic semigroup assume assumptions Banach space Besov space boundary value problem bounded domain compact consider convergence defined denote elliptic energy entropy existence of weak exterior domains global grad Helmholtz decomposition Hence holds implies inequality initial data integral interface Kozono Lemma linear Math Mathematical Fluid Mechanics maximal regularity Mech Moreover Navier-Stokes equations Newtonian fluids no-slip boundary condition nonlinear norm obtain parabolic positive constant proof of Theorem properties prove regular Riemannian manifold Riemannian manifold Riemannian submanifold satisfies Sect semigroup smooth ſº Sobolev spaces Stokes equations Stokes operator Stokes problem Stokes semigroup strong solution test functions Theorem 2.1 two-phase flows uniformly regular Riemannian unique vector velocity viscous vorticity weak formulation weak solution well-posedness