Recent Developments of Mathematical Fluid Mechanics

• Corporate Author: SpringerLink (Online service)
• Other Authors: Amann, Herbert (Editor), Giga, Yoshikazu (Editor), Kozono, Hideo (Editor), Okamoto, Hisashi (Editor), Yamazaki, Masao (Editor)
• Format: Electronic eBook
• Language: English
• Published: Basel : Springer Basel : Imprint: Birkhäuser, 2016.
• Edition: 1st ed. 2016.
• Series: Advances in Mathematical Fluid Mechanics,
• Subjects: Mathematics.; Partial differential equations.; Partial Differential Equations.

The book addresses recent developments of the mathematical research on the Navier-Stokes and Euler equations as well as on related problems. In particular, there are covered:   1) existence, uniqueness, and the regularity of weak solutions; 2) stability of the motion in rest and the asymptotic behav...

Table of Contents:

• The Work of Yoshihiro Shibata, Herbert Amann, Yoshikazu Giga, Hisashi Okamoto, Hideo Kozono and Masao Yamazaki
• Existence of weak solutions for a diffuse interface model of power-law type two-phase flows, Helmut Abels, Lars Diening and Yutaka Terasawa
• Stationary Solutions for a Navier-Stokes/Cahn- Hilliard System with Singular Free Energies, Helmut Abels and Josef Weber
• Parabolic Equations on Uniformly Regular Riemannian Manifolds and Degenerate Initial Boundary Value Problems, Herbert Amann
• A generalization of some regularity criteria to the Navier–Stokes equations involving one velocity component, Simon Axmann and Milan Pokorny
• On the singular p-Laplacian system under Navier slip type boundary conditions, The gradient-symmetric case, H. Beirão da Veiga
• Thermodynamically consistent modeling for dissolution/growth of bubbles in an incompressible solvent, Dieter Bothe and Kohei Soga
• On unsteady internal flows of Bingham fluids subject to threshold slip on the impermeable boundary, Miroslav Bulíček and Josef Málek
• Inhomogeneous boundary value problems in spaces of higher regularity,Robert Denk and Tim Seger
• Blow-up criterion for 3D Navier-Stokes equations and Landau-Lifshitz System in a bounded domain, Jishan Fan and Tohru Ozawa
• Local Regularity Results for the Instationary Navier-Stokes Equations Based on Besov Space Type Criteria, Reinhard Farwig
• On global well/ill-posedness of the Euler-Poisson system, Eduard Feireisl
• On the Motion of a Liquid-Filled Rigid Body Subject to a Time-Periodic Torque, Giovanni P. Galdi, Giusy Mazzone and Mahdi Mohebbi
• Seeking a proof of Xie’s inequality: on the conjecture that m ! 1, John G. Heywood
• Bounded Analyticity of the Stokes Semigroup on Spaces of Bounded Functions, Matthias Hieber and Paolo Maremonti
• On the weak solution of the fluid-structure interaction problem for sheardependent fluids, Anna Hundertmark, Mária Lukáčová-Medvid’ová and Sárka Nečasová
• Stability of time periodic solutions for the rotating Navier-Stokes equations, Tsukasa Iwabuchi, Alex Mahalov and Ryo Takada
• Weighted Lp -  Lq estimates of Stokes semigroup in half-space and its application to the Navier-Stokes equations,Takayuki Kobayashi and Takayuki Kubo
• On vorticity formulation for viscous incompressible flows in R3+, Humiya Kosaka and Yasunori Maekawa
• A Weak Solution to the Navier–Stokes System with Navier’s Boundary Condition in a Time–Varying Domain, Jiří Neustupa and Patrick Penel
• Effects of fluid-boundary interaction on the stability of boundary layers in plasma physics, Masashi Ohnawa
• On Incompressible Two-Phase Flows with Phase Transitions and Variable Surface Tension, Masao Yamazaki.