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1.

図書

図書
G. Astarita, G. Marrucci
出版情報: London ; New York : McGraw-Hill, c1974  ix, 289 p. ; 24 cm
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2.

図書

図書
G. Böhme ; [translated by J.C. Harvey]
出版情報: Amsterdam ; Tokyo : North-Holland, 1987  xii, 351 p. ; 24 cm
シリーズ名: North-Holland series in applied mathematics and mechanics ; v. 31
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3.

図書

図書
Jean-Yves Chemin ; translated by Isabelle Gallagher and Dragos Iftimie
出版情報: Oxford : Clarendon Press , New York : Oxford University Press, 1998  x, 187 p. ; 25 cm
シリーズ名: Oxford lecture series in mathematics and its applications ; 14
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目次情報: 続きを見る
Presentation of the equations / 1:
What is a perfect fluid? / 1.1:
Prom Lagrange to Euler / 1.2:
Vorticity, pressure and dimension 2 / 1.3:
References and remarks / 1.4:
Littlewood-Paley theory / 2:
Dyadic decomposition / 2.1:
Sobolev spaces / 2.2:
Hölder spaces / 2.3:
Paradifferential calculus / 2.4:
The pressure and its gradient field / 2.5:
Concerning BiotùSavart's law / 2.6:
Lp estimates / 3.1:
L estimates: some examples / 3.2:
Riesz operators and bounded functions / 3.3:
The case of smooth initial data / 3.4:
Resolution of a model problem / 4.1:
Application to Euler's equation / 4.2:
The case of bounded vorticity / 4.3:
Yudovich's theorem / 5.1:
On ordinary differential equations / 5.2:
An example / 5.3:
The vortex patch problem / 5.4:
Proof of the persistence / 5.5:
Vortex sheets / 5.6:
Presentation of the problem / 6.1:
The study of the function G / 6.2:
The limit / 6.3:
The wave front and the product / 6.4:
Presentation of the wave front / 7.1:
When can the product be defined? / 7.2:
Analytic and Gevrey wave-front sets / 7.3:
Analyticity and Gevrey regularity / 7.4:
Statement of the theorems / 8.1:
Multilinear operators / 8.2:
Regularity along the flow lines / 8.3:
Singular vortex patches / 8.4:
Local Littlewood-Paley theory / 9.1:
Dynamics of singular patches / 9.3:
References / 9.4:
Index
Presentation of the equations / 1:
What is a perfect fluid? / 1.1:
Prom Lagrange to Euler / 1.2:
4.

図書

図書
[by] B.D. Coleman, H. Markovitz [and] W. Noll
出版情報: Berlin ; New York : Springer-Verlag, 1966  x, 130 p. ; 24 cm
シリーズ名: Springer tracts in natural philosophy ; v. 5
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5.

図書

図書
Roger I. Tanner
出版情報: Oxford [Oxfordshire] : Clarendon Press, 1985  xxiii, 451 p. ; 24 cm
シリーズ名: The Oxford engineering science series ; 14
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目次情報: 続きを見る
Introduction to Rheology / 1:
Review of Continuum Mechanics / 2:
Viscometric and Elongational Flows / 3:
Continuum-Derived Theories and Experimental Data / 4:
Dilute and Concentrated Fluid Theories / 5:
Lubrication, Calendaring and Related Flows / 6:
Fibre Spinning and Film Blowing / 7:
Extrusion and Related Transitional Flows / 8:
Temperature and Pressure Effects / 9:
Stability of Flow and Turbulence / 10:
Introduction to Rheology / 1:
Review of Continuum Mechanics / 2:
Viscometric and Elongational Flows / 3:
6.

図書

図書
Roger I. Tanner
出版情報: New York : Oxford University Press, 2000  xxv, 559 p. ; 24 cm
シリーズ名: The Oxford engineering science series ; 52
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目次情報: 続きを見る
Introduction to Rheology / 1:
Review of Continuum Mechanics / 2:
Viscometric and Elongational Flows / 3:
Continuum-Derived Theories and Experimental Data / 4:
Dilute and Concentrated Fluid Theories / 5:
Lubrication, Calendaring and Related Flows / 6:
Fibre Spinning and Film Blowing / 7:
Extrusion and Related Transitional Flows / 8:
Temperature and Pressure Effects / 9:
Stability of Flow and Turbulence / 10:
Introduction to Rheology / 1:
Review of Continuum Mechanics / 2:
Viscometric and Elongational Flows / 3:
7.

図書

図書
Andrew J. Majda, Andrea L. Bertozzi
出版情報: Cambridge : Cambridge University Press, 2002  xii, 545 p. ; 26 cm
シリーズ名: Cambridge texts in applied mathematics
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目次情報: 続きを見る
Preface
An introduction to vortex dynamics for incompressible fluid flows / 1:
The vorticity-stream formulation of the Euler and the Navier-Stokes equations / 2:
Energy methods for the Euler and the Navier-Stokes equations / 3:
The particle-trajectory method for existence and uniqueness of solutions to the Euler equation / 4:
The search for singular solutions to the 3D Euler equations / 5:
Computational vortex methods / 6:
Simplified asympototic equations for slender vortex filaments / 7:
Weak solutions to the 2D Euler equations with initial vorticity in Lâê  / 8:
Introduction to vortex sheets, weak solutions and approximate-solution sequences for the Euler equation / 9:
Weak solutions and solution sequences in two dimensions / 10:
The 2D Euler equation: concentrations and weak solutions with vortex-sheet initial data / 11:
Reduced Hausdorff dimension, oscillations and measure-valued solutions of the Euler equations in two and three dimensions / 12:
The Vlasov-Poisson equations as an analogy to the Euler equations for the study of weak solutions / 13:
Index
Preface
An introduction to vortex dynamics for incompressible fluid flows / 1:
The vorticity-stream formulation of the Euler and the Navier-Stokes equations / 2:
8.

図書

図書
[by] A.H.P. Skelland
出版情報: New York : Wiley, 1967  xvi, 469 p. ; 24 cm
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9.

図書

図書
M.J. Crochet, A.R. Davies, K. Walters
出版情報: Amsterdam ; New York : Elsevier, 1984  xiii, 352 p. ; 25 cm
シリーズ名: Rheology series ; 1
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