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Amann H., Giga Y., Kozono H., Okamoto H., Yamazaki M. (Eds.) Recent Developments of Mathematical Fluid Mechanics

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Amann H., Giga Y., Kozono H., Okamoto H., Yamazaki M. (Eds.) Recent Developments of Mathematical Fluid Mechanics
Springer Science+Business Media, 2016. — 478 p. — (Advances in Mathematical Fluid Mechanics) — ISBN: 9783034809382
This volume collects research papers and survey articles of participants in the “International Conference on Mathematical Fluid Dynamics on the Occasion of Yoshihiro Shibata’s 60th Birthday”, which was held from March 5 to 9, 2013, in Nara, the former capital of Japan. We thank all the participants, in particular the invited speakers, who contributed to this volume. Our thanks also go to the referees for their efficient work, and to the secretaries, the staff, and the students who helped us during the meeting. The conference was supported, in part, by the Grant in Aid for Scientific Researchof the Japan Society forthe Promotionof Science (No. 24224003, 24224004, 24340025) and by the JSPS-DFG Japanese-German Graduate Externship.
Contents
The Work of Yoshihiro Shibata
Existence of Weak Solutions for a Diffuse Interface Model of Power-Law Type Two-Phase Flows
Stationary Solutions for a Navier-Stokes/Cahn-Hilliard System with Singular Free Energies
Parabolic Equations on Uniformly Regular Riemannian Manifolds and Degenerate Initial Boundary Value Problems
A Generalization of Some Regularity Criteria to the Navier–Stokes Equations Involving One Velocity Component
On the Singular p-Laplacian System Under Navier Slip Type Boundary Conditions: The Gradient-Symmetric Case
Thermodynamically Consistent Modeling for Dissolution/Growth of Bubbles in an Incompressible Solvent
On Unsteady Internal Flows of Bingham Fluids Subject to Threshold Slip on the Impermeable Boundary
Inhomogeneous Boundary Value Problems in Spaces of Higher Regularity
Blow-Up Criterion for 3D Navier-Stokes Equations and Landau-Lifshitz System in a Bounded Domain
Local Regularity Results for the Instationary Navier-Stokes Equations Based on Besov Space Type Criteria
On Global Well/Ill-Posedness of the Euler-Poisson System
On the Motion of a Liquid-Filled Rigid Body Subject to a Time-Periodic Torque
Seeking a Proof of Xie’s Inequality: On the Conjecture That ? m ! 1
Bounded Analyticity of the Stokes Semigroup on Spaces of Bounded Functions
On the Weak Solution of the Fluid-Structure Interaction Problem for Shear-Dependent Fluids
Stability of Time Periodic Solutions for the Rotating Navier-Stokes Equations
Weighted L p ? L q Estimates of Stokes Semigroup in Half-Space and Its Application to the Navier-Stokes Equations
On Vorticity Formulation for Viscous Incompressible Flows in R3
A Weak Solution to the Navier–Stokes System with Navier’s Boundary Condition in a Time-Varying Domain
Effects of Fluid-Boundary Interaction on the Stability of Boundary Layers in Plasma Physics
On Incompressible Two-Phase Flows with Phase Transitions and Variable Surface Tension
On the Nash-Moser Iteration Technique
Rate of Convergence to the Stationary Solution of the Navier-Stokes Exterior Problem
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