Recent Developments of Mathematical Fluid Mechanics

Front Matter....Pages i-ix
The Work of Yoshihiro Shibata....Pages 1-12
Existence of Weak Solutions for a Diffuse Interface Model of Power-Law Type Two-Phase Flows....Pages 13-23
Stationary Solutions for a Navier-Stokes/Cahn-Hilliard System with Singular Free Energies....Pages 25-41
Parabolic Equations on Uniformly Regular Riemannian Manifolds and Degenerate Initial Boundary Value Problems....Pages 43-77
A Generalization of Some Regularity Criteria to the Navier–Stokes Equations Involving One Velocity Component....Pages 79-97
On the Singular p-Laplacian System Under Navier Slip Type Boundary Conditions: The Gradient-Symmetric Case....Pages 99-109
Thermodynamically Consistent Modeling for Dissolution/Growth of Bubbles in an Incompressible Solvent....Pages 111-134
On Unsteady Internal Flows of Bingham Fluids Subject to Threshold Slip on the Impermeable Boundary....Pages 135-156
Inhomogeneous Boundary Value Problems in Spaces of Higher Regularity....Pages 157-173
Blow-Up Criterion for 3D Navier-Stokes Equations and Landau-Lifshitz System in a Bounded Domain....Pages 175-182
Local Regularity Results for the Instationary Navier-Stokes Equations Based on Besov Space Type Criteria....Pages 183-214
On Global Well/Ill-Posedness of the Euler-Poisson System....Pages 215-231
On the Motion of a Liquid-Filled Rigid Body Subject to a Time-Periodic Torque....Pages 233-255
Bounded Analyticity of the Stokes Semigroup on Spaces of Bounded Functions....Pages 257-273
On the Weak Solution of the Fluid-Structure Interaction Problem for Shear-Dependent Fluids....Pages 275-289
Stability of Time Periodic Solutions for the Rotating Navier-Stokes Equations....Pages 291-319
A Weak Solution to the Navier–Stokes System with Navier’s Boundary Condition in a Time-Varying Domain....Pages 321-335
Effects of Fluid-Boundary Interaction on the Stability of Boundary Layers in Plasma Physics....Pages 337-349
On Incompressible Two-Phase Flows with Phase Transitions and Variable Surface Tension....Pages 351-374
On the Nash-Moser Iteration Technique....Pages 375-400
Rate of Convergence to the Stationary Solution of the Navier-Stokes Exterior Problem....Pages 401-410
....Pages 411-442