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Recent Developments of Mathematical Fluid Mechanics

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Cover of 'Recent Developments of Mathematical Fluid Mechanics'

Table of Contents

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    Book Overview
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    Chapter 1 The Work of Yoshihiro Shibata
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    Chapter 2 Existence of Weak Solutions for a Diffuse Interface Model of Power-Law Type Two-Phase Flows
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    Chapter 3 Stationary Solutions for a Navier-Stokes/Cahn-Hilliard System with Singular Free Energies
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    Chapter 4 Parabolic Equations on Uniformly Regular Riemannian Manifolds and Degenerate Initial Boundary Value Problems
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    Chapter 5 A Generalization of Some Regularity Criteria to the Navier–Stokes Equations Involving One Velocity Component
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    Chapter 6 On the Singular p -Laplacian System Under Navier Slip Type Boundary Conditions: The Gradient-Symmetric Case
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    Chapter 7 Thermodynamically Consistent Modeling for Dissolution/Growth of Bubbles in an Incompressible Solvent
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    Chapter 8 On Unsteady Internal Flows of Bingham Fluids Subject to Threshold Slip on the Impermeable Boundary
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    Chapter 9 Inhomogeneous Boundary Value Problems in Spaces of Higher Regularity
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    Chapter 10 Blow-Up Criterion for 3D Navier-Stokes Equations and Landau-Lifshitz System in a Bounded Domain
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    Chapter 11 Local Regularity Results for the Instationary Navier-Stokes Equations Based on Besov Space Type Criteria
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    Chapter 12 On Global Well/Ill-Posedness of the Euler-Poisson System
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    Chapter 13 On the Motion of a Liquid-Filled Rigid Body Subject to a Time-Periodic Torque
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    Chapter 14 Seeking a Proof of Xie’s Inequality: On the Conjecture That $$\mu _{m} \rightarrow \infty $$
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    Chapter 15 Bounded Analyticity of the Stokes Semigroup on Spaces of Bounded Functions
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    Chapter 16 On the Weak Solution of the Fluid-Structure Interaction Problem for Shear-Dependent Fluids
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    Chapter 17 Stability of Time Periodic Solutions for the Rotating Navier-Stokes Equations
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    Chapter 18 Weighted L p − L q Estimates of Stokes Semigroup in Half-Space and Its Application to the Navier-Stokes Equations
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    Chapter 19 On Vorticity Formulation for Viscous Incompressible Flows in R + 3
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    Chapter 20 A Weak Solution to the Navier–Stokes System with Navier’s Boundary Condition in a Time-Varying Domain
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    Chapter 21 Effects of Fluid-Boundary Interaction on the Stability of Boundary Layers in Plasma Physics
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    Chapter 22 On Incompressible Two-Phase Flows with Phase Transitions and Variable Surface Tension
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    Chapter 23 On the Nash-Moser Iteration Technique
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    Chapter 24 Rate of Convergence to the Stationary Solution of the Navier-Stokes Exterior Problem
Attention for Chapter 1: The Work of Yoshihiro Shibata
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Chapter title
The Work of Yoshihiro Shibata
Chapter number 1
Book title
Recent Developments of Mathematical Fluid Mechanics
Published by
Birkhäuser, Basel, January 2016
DOI 10.1007/978-3-0348-0939-9_1
Book ISBNs
978-3-03-480938-2, 978-3-03-480939-9
Authors

Herbert Amann, Yoshikazu Giga, Hisashi Okamoto, Hideo Kozono, Masaso Yamazaki, Amann, Herbert, Giga, Yoshikazu, Okamoto, Hisashi, Kozono, Hideo, Yamazaki, Masaso

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