Springer Science+Business Media, 2016. — 478 p. — (Advances in Mathematical Fluid Mechanics) — ISBN: 9783034809382This 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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