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1.

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:
2.

図書

図書
Paul K. Newton
出版情報: New York ; Tokyo : Springer, 2001  xvii, 415 p. ; 25 cm
シリーズ名: Applied mathematical sciences ; v. 145
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3.

図書

図書
by Lung-an Ying and Pingwen Zhang
出版情報: Beijing : Science Press , Dordrecht : Kluwer Academic Publishers, c1997  ix, 347 p. ; 25 cm
シリーズ名: Mathematics and its applications ; v. 381
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4.

図書

図書
Georges-Henri Cottet, Petros D. Koumoutsakos
出版情報: New York : Cambridge University Press, 2000  xiii, 313 p.
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目次情報: 続きを見る
Definitions and governing equations / 1:
Vortex methods for incompressible two-dimensional flows / 2:
Three-dimensional vortex methods for inviscid flows / 3:
Inviscid boundary conditions / 4:
Viscous vortex methods / 5:
Vorticity boundary conditions for the Navier-Stokes equations / 6:
Lagrangian grid distortions: problems and solutions / 7:
Hybrid methods / 8:
Mathematical tools for the numerical analysis of vortex methods / Appendix A:
Fast multipole methods for three-dimensional N-body problems. / Appendix B:
Definitions and governing equations / 1:
Vortex methods for incompressible two-dimensional flows / 2:
Three-dimensional vortex methods for inviscid flows / 3:
5.

図書

図書
par H. Poincaré ... Rédigées par M. Lamotte ...
出版情報: Paris : G. Carré, 1893  2 p.l., 211, [1] p ; 25 cm
シリーズ名: Cours de physique mathématique
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6.

図書

図書
par H. Poincaré
出版情報: Paris : G. Carré, 1895  316 p ; 25 cm
シリーズ名: Cours de physique mathématique
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7.

図書

図書
par H. Poincaré ; Rédigées par M. Ch. Ma
出版情報: Paris : Georges Carré, 1894  337 p. ; 25 cm
シリーズ名: Cours de la Faculté des sciences de Paris
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8.

図書

図書
par H. Poincaré, Rédigées par J. Blondin
出版情報: Paris : G. Carré, 1890  xix, 314 p, xi, 262 p ; 25 cm
シリーズ名: Cours de physique mathématique
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9.

図書

図書
par H. Poincaré ; Rédigées par A. Guillet
出版情報: Paris : G. Carré, 1899  385 p ; 25 cm
シリーズ名: Cours de la Faculté des sciences de Paris
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10.

図書

図書
Pascal Chossat, Gérard Iooss
出版情報: New York : Springer-Verlag, c1994  ix, 233 p. ; 25 cm
シリーズ名: Applied mathematical sciences ; v. 102
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