Recent Developments of Mathematical Fluid Mechanics

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...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor Corporativo: SpringerLink (Online service)
Otros Autores: Amann, Herbert (Editor ), Giga, Yoshikazu (Editor ), Kozono, Hideo (Editor ), Okamoto, Hisashi (Editor ), Yamazaki, Masao (Editor )
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Basel : Springer Basel : Imprint: Birkhäuser, 2016.
Edición:1st ed. 2016.
Colección:Advances in Mathematical Fluid Mechanics,
Temas:
Differential equations.
Differential Equations.
Acceso en línea:Texto Completo
Tabla de Contenidos:
  • 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.

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