Bibliography for Ideal Fluid Flow

unabridged

 

  1. Computational fluid dynamics simulations yielding guidelines for the ideal internal structure of monolithic liquid chromatography columns
    Gzil P.; Baron G.V.; Desmet G.
    Journal of Chromatography A, 4 April 2003, vol. 991, no. 2, pp. 169-188(20), Ingenta.  
  2. Rearrangements of functions with applications to meteorology and ideal fluid flow.  
    Douglas, R. J.
    Large-scale atmosphere-ocean dynamics, Vol. I,  288--341, Cambridge Univ. Press, Cambridge, 2002, MathSciNet.  
  3. Averaged Lagrangians and the mean effects of fluctuations in ideal fluid dynamics
    Holm D.D.
    Physica D, 15 September 2002, vol. 170, no. 3, pp. 253-286(34), Ingenta.  
  4. An Analytical Solution Of Fluid-Structure Coupling Oscillation In One-Dimensional Ideal Condition Under Small Disturbance
    Huang D.; Guo W.; Li X.
    Journal of Sound and Vibration, August 2002, vol. 255, no. 3, pp. 610-614(5), Ingenta.  
  5. Vertical Impact on a Rigid Body Floating on the Surface of an Ideal Incompressible Fluid in a Bounded Basin of Arbitrary Shape
    Norkin M.V.
    Fluid Dynamics, May 2002, vol. 37, no. 3, pp. 455-462(8), Ingenta.  
  6. Asymptotic Stability of a Stationary Flowing Regime of an Ideal Incompressible Fluid
    Morgulis A.B.; Yudovich V.I.
    Siberian Mathematical Journal, July 2002, vol. 43, no. 4, pp. 674-688(15), Ingenta.  
  7. On lattice Boltzmann modeling of phase transition in an isothermal non-ideal fluid
    Nourgaliev R.R.; Dinh T.N.; Sehgal B.R.
    Nuclear Engineering and Design, February 2002, vol. 211, no. 2, pp. 153-171(19), Ingenta.  
  8. Stochastic continuum mechanics-a thermodynamic-limit-free alternative to statistical mechanics: Equilibrium of isothermal ideal isotropic uniform fluid
    Mamontov E.; Willander M.; Weiland J.
    Mathematical and Computer Modelling, November 2002, vol. 36, no. 7, pp. 889-907(19), Ingenta.  
  9. The motion of a variable body in an ideal fluid
    Kozlov V.V.; Ramodanov S.M.
    Journal of Applied Mathematics and Mechanics, 2001, vol. 65, no. 4, pp. 579-587(9), Ingenta.  
  10. Linear Longwave Instability of a Single Class of Steady-State Jet Flows of an Ideal Fluid in the Field of a Self-Electric Current
    Gubarev Y.G.; Nikulin V.V.
    Fluid Dynamics, 4 March 2001, vol. 36, no. 2, pp. 225-235(11), Ingenta.  
  11. Forces Exerted on a Body in an Unsteady Vortex Separation Flow of an Ideal Incompressible Fluid
    Dynnikova G.Y.
    Fluid Dynamics, 4 March 2001, vol. 36, no. 2, pp. 285-295(11), Ingenta.  
  12. Instability of an Oscillating Cylinder in a Circulation Flow of Ideal Fluid
    Kop'ev V.F.; Chernyshev S.A.
    Fluid Dynamics, 12 November 2000, vol. 35, no. 6, pp. 858-871(14), Ingenta.  
  13. Steady vortex in a uniform shear flow of an ideal fluid
    Emamizadeh B.
    Proceedings Section A: Mathematics - Royal Society of Edinburgh, 4 August 2000, vol. 130, no. 4, pp. 801-812(12), Ingenta.  
  14. The Equation of Axisymmetric Buoyancy Oscillations in an Ideal Fluid
    Ter-Krikorov A.M.
    Journal of Applied Mathematics and Mechanics, 2000, vol. 64, no. 4, pp. 531-535(5), Ingenta.  
  15. Impact of an ideal fluid jet on a curved wall: the inverse problem
    Weber R.; Hureau J.
    European Journal of Mechanics - B/Fluids, 4 March 1999, vol. 18, no. 2, pp. 283-294(12), Ingenta.  
  16. Thermodynamics of the polymer mean-spherical ideal chain approximation for a fluid of linear chain molecules
    Kalyuzhnyi Y. V.
    Molecular Physics, 20 July 1998, vol. 94, no. 4, pp. 735-742(8), Ingenta.  
  17. Mechanical properties of an ideal electrorheological fluid
    Zhao H.; Liu Z.; Shen J.; Liu Y.
    Solid State Communications, 20 November 1998, vol. 108, no. 12, pp. 989-992(4), Ingenta.  
  18. Evolution of Singularities, Generalized Liapunov Function and Generalized Integral for an Ideal Incompressible Fluid  
    A. Shnirelman  
    American Journal of Mathematics, Vol. 119, No. 3. (Jun., 1997), pp. 579-608, Jstor.  
  19. Nonlinear instability in an ideal fluid
    Friedlander S.; Strauss W.; Vishik M.
    Annales de l'Institut Henri Poincare (C) Nonnear Analysis, 1997, vol. 14, no. 2, pp. 187-209(23), Ingenta.  
  20. Excitation Of The Stoneley-Scholte Wave At The Boundary Between An Ideal Fluid And A Viscoelastic Solid
    Favretto-Anres N.; Rabau G.
    Journal of Sound and Vibration, 1997, vol. 203, no. 2, pp. 193-208(16), Ingenta.  
  21. On Using Flows to Visualize Functions of a Complex Variable (in Notes)  
    Tyre Newton; Thomas Lofaro  
    Mathematics Magazine, Vol. 69, No. 1. (Feb., 1996), pp. 28-34, Jstor.  
  22. Analytic Functions, Ideal Fluid Flow, and Bernoulli's Equation (in Classroom Notes)  
    J. G. Simmonds  
    SIAM Review, Vol. 38, No. 4. (Dec., 1996), pp. 666-667, Jstor.  
  23. Invariant and partially-invariant solutions of the equations describing a non-stationary and isentropic flow for an ideal and compressible fluid in (3 + 1) dimensions
    Grundland A.M.; Lalague L.
    Journal of Physics A: Mathematical and General, 1996, vol. 29, no. 8, pp. 1723-1739(17), Ingenta.  
  24. Comment on ''Film model for mass transfer in non-ideal multicomponent fluid mixtures'': By S.P. Rao and R. Krishna, Chem. Eng. J., 52 (1993) 19
    Kubaczka A.; Bandrowski J.
    The Chemical Engineering Journal and The Biochemical Engineering Journal, December 1996, vol. 64, no. 3, pp. 361-362(2), Ingenta.  
  25. Analytical description of the free surface dynamics of an ideal fluid (canonical formalism and conformal mapping)
    Dyachenko A.I.; Kuznetsov E.A.; Spector M.D.; Zakharov V.E.
    Physics Letters A, 23 September 1996, vol. 221, no. 1, pp. 73-79(7), Ingenta.  
  26. High-Jacobian approximation in the free surface dynamics of an ideal fluid
    Zakharov V.E.; Dyachenko A.I.
    Physica D, 15 November 1996, vol. 98, no. 2, pp. 652-664(13), Ingenta.  
  27. Riemannian geometry of the motion of an ideal incompressible magnetohydrodynamical fluid
    Ono T.
    Physica D, 1 March 1995, vol. 81, no. 3, pp. 207-220(14), Ingenta.  
  28. A Hamiltonian approach to the investigation of the potential motions of an ideal fluid
    Marchenko A.V.
    Journal of Applied Mathematics and Mechanics, 1995, vol. 59, no. 1, pp. 93-98(6), Ingenta.  
  29. An inverse scattering treatment for the flow of an ideal fluid in two dimensions
    Vishik M.M.; Friedlander S.
    Nonlinearity, 1993, vol. 6, no. 2, pp. 231-249(19), Ingenta.  
  30. When Do Orthogonal Families of Curves Possess a Complex Potential?  
    Irl C. Bivens  
    Mathematics Magazine, Vol. 65, No. 4. (Oct., 1992), pp. 226-235, Jstor.  
  31. Geodesics and curvature of a group of diffeomorphisms and motion of an ideal fluid
    Nakamura F.; Hattori Y.; Kambe T.
    Journal of Physics A: Mathematical and General, 1992, vol. 25, no. 2, pp. L45-L50(1), Ingenta.  
  32. Some aspects of the solution of plane nonvortex ideal fluid flow.
    Benda, J.
    Bericht über die Wissenschaftliche Jahrestagung der GAMM (Leipzig, 1992). Z. Angew. Math. Mech. 73 (1993), no. 7-8, T799--T801, MathSciNet.  
  33. One-Dimensional Hydrodynamic Flow in Complex Networks and Some Generalizations  
    Pablo M. Jacovkis  
    SIAM Journal on Applied Mathematics, Vol. 51, No. 4. (Aug., 1991), pp. 948-966, Jstor.  
  34. Asymptotic solution of the axisymmetric problem of ideal fluid flow in the neighborhood of cusped cavities.
    Zubtsov, A. V.; Sudakov, G. G.
    Fluid Dynam. 25 (1990), no. 4, 565--568 (1991); translated from Izv. Akad. Nauk SSSR Mekh. Zhidk. Gaza 1990, , no. 4, 84--87, MathSciNet.  
  35. Computer-Assisted Teaching of marine Hydrodynamics  
    Denson, Lee A. and Dick K. P. Yue  
    Computers Educ., (1989), Vol. 13, No. 3, pp. 279-303.
  36. Flow Around Simply and Multiply Connected Bodies: a New Iterative Scheme for Conformal Mapping  
    Luchini, Paolo and Fernando Manzo
    Am. Inst. of Aeronautics and Astronautics J., (1989), V. 27, No. 3, pp. 345-351.
  37. L'étude du mouvement des fluides en présence de corps rallongés dans le cas plan ou axial symétrique en utilisant des transformations quasi-conformes. (French) [Study of fluid flow in the presence of elongated bodies in the planar or axial symmetric case using quasiconformal transformations]
    Lupu, Mircea
    Proceedings of the Annual Scientific Session of the Department of Mathematics (Brasov, 1989), 29--41, Univ. Brasov, Brasov, 1989, MathSciNet.  
  38. Some elements of a theory of multidimensional complex variables. II. Expansions of analytic functions and application to fluid flows.
    Martin, E. Dale
    J. Franklin Inst. 326 (1989), no. 5, 649--681, MathSciNet.  
  39. Self-similar problem of separated ideal-fluid flow over an expanding plate.
    Kopchënov, V. I.; Kraiko, A. N.; Shchipin, S. K.
    Fluid Dynam. 23 (1988), no. 5, 693--700 (1989); translated from Izv. Akad. Nauk SSSR Mekh. Zhidk. Gaza 1988, , no. 5, 62--69, MathSciNet.  
  40. Curvature, Circles, and Conformal Maps (in Notes)  
    Alan F. Beardon  
    American Mathematical Monthly, Vol. 94, No. 1. (Jan., 1987), pp. 48-53, Jstor.  
  41. Use of Conformal Mapping in Grid Generation for Complex Three-Dimensional Configurations  
    Halsey, N. D.
    Am. Inst. of Aeronautics and Astronautics J., (1987), V. 25, No. 10, pp. 1286-1291.
  42. Plotting Streamlines and Pathlines on a Microcomputer  
    Kranc, S. C.  
    Comp. in Ed. Div. of ASEE, (1986), V. VI, No. 3, pp. 20-21.
  43. Calculation of Flow Properties and End Effects in Field-Flow Fractionation Channels by a Conformal Mapping Procedure  
    Williams, P. Stephen, Steven B. Giddings, and J. Calvin Giddings  
    Analytical Chemistry, (1986), V. 58, No. 12, pp. 2397-2403.
  44. Solution of an ideal fluid flow through a plane cascade by the finite element method.
    Benda, Josef
    Problems of applied analysis (Oberwolfach, 1985), 159--176, Methoden Verfahren Math. Phys., 33, Lang, Frankfurt am Main, 1987, MathSciNet.  
  45. Nonintegrability and chaos in unsteady ideal fluid flow.
    Suresh, Ambady
    AIAA J. 23 (1985), no. 8, 1285--1287, MathSciNet.  
  46. Cartan-Frobenius integration method and exact solutions for relativistic ideal fluid flows.
    Rosen, Gerald
    Phys. Rev. Lett. 53 (1984), no. 12, 1149--1152, MathSciNet.  
  47. Numerical Fluid Dynamics  
    Garrett Birkhoff  
    SIAM Review, Vol. 25, No. 1. (Jan., 1983), pp. 1-34, Jstor.  
  48. Application of a New Complex Root-Finding Technique to the Dispersion Relations for Elastic Waves in a Fluid-Loaded Plate  
    Pieter S. Dubbelday  
    SIAM Journal on Applied Mathematics, Vol. 43, No. 5. (Oct., 1983), pp. 1127-1139, Jstor.  
  49. Rayleigh-Taylor instability and the use of conformal maps for ideal fluid flow.
    Menikoff, Ralph; Zemach, Charles
    J. Comput. Phys. 51 (1983), no. 1, 28--64, MathSciNet.  
  50. On Dominating Elastico-Viscous Response in Some Complex Flows  
    K. Walters; M. F. Webster  
    Philosophical Transactions of the Royal Society of London. Series A, Mathematical and Physical Sciences, Vol. 308, No. 1502. (Dec. 20, 1982), pp. 199-218, Jstor.  
  51. On Newtonian and Non-Newtonian Flow in Complex Geometries  
    T. Cochrane; K. Walters; M. F. Webster  
    Philosophical Transactions of the Royal Society of London. Series A, Mathematical and Physical Sciences, Vol. 301, No. 1460. (May 6, 1981), pp. 163-181, Jstor.  
  52. A least square FE-method for ideal fluid flow problems.
    Hamina, M.; Neittaanmäki, P.; Saranen, J.
    Ber. Univ. Jyväskylä Math. Inst. No. 24 (1981), 47 pp., MathSciNet.  
  53. A generalized complex potential in fluid dynamics.
    González, M. O.
    Univ. Nac. Tucumán Rev. Ser. A 29 (1979), no. 1, 71--79 (1987), MathSciNet.  
  54. On Oscillatory Flows
    Sacksteder, Richard C.
    Math. Intell, (1978), V. 1, No. 1, pp. 45- 51.
  55. Exact Solutions for Two-Dimensional Groundwater Flow Problems Involving a Semi-Pervious Boundary  
    Van Der Veer, P.
    J. of Hydrology, (1978), Vol. 37, pp. 159-168.
  56. Applications of Conformal Mapping to Potential Theory Through Computer Graphics  
    Donald T. Piele; Morris W. Firebaugh; Robert Manulik  
    American Mathematical Monthly, Vol. 84, No. 9. (Nov., 1977), pp. 677-692, Jstor.  
  57. The fluid flow through porous media.
    Alt, Hans Wilhelm
    Regularity of the free surface. Manuscripta Math. 21 (1977), no. 3, 255--272, MathSciNet.  
  58. Analysis of the Flexural Vibrations of Variable Density Spheroids Immersed in an Ideal Fluid, with Application to Ship Structural Dynamics  
    R. Eatock Taylor  
    Philosophical Transactions of the Royal Society of London. Series A, Mathematical and Physical Sciences, Vol. 277, No. 1274. (Feb. 13, 1975), pp. 623-646, Jstor.  
  59. The Existence and Uniqueness of Nonstationary Ideal Incompressible Flow in Bounded Domains in R3  
    H. S. G. Swann  
    Transactions of the American Mathematical Society, Vol. 179. (May, 1973), pp. 167-180, Jstor.  
  60. The Convergence with Vanishing Viscosity of Nonstationary Navier-Stokes Flow to Ideal Flow in R3  
    H. S. G. Swann  
    Transactions of the American Mathematical Society, Vol. 157. (Jun., 1971), pp. 373-397, Jstor.  
  61. On Steady Vortex Rings of Small Cross-Section in an Ideal Fluid  
    L. E. Fraenkel  
    Proceedings of the Royal Society of London. Series A, Mathematical and Physical Sciences, Vol. 316, No. 1524. (Mar. 31, 1970), pp. 29-62, Jstor.  
  62. Numerical Fluid Dynamics  
    F. H. Harlow   
    The American Mathematical Monthly, Vol. 72, No. 2, Part 2: Computers and Computing. (Feb., 1965), pp. 84-91, Jstor.  
  63. Recent Advances at Stanford in the Application of Conformal Mapping to Hydrodynamics  
    P. R. Garabedian; Edward McLeod, Jr.; Martin Vitousek  
    The American Mathematical Monthly, Vol. 61, No. 7, Part 2: Proceedings of the Symposium on Special Topics in Applied Mathematics. (Aug. - Sep., 1954), pp. 8-10, Jstor.  
  64. The use of influence factors in problems of fluid flow.
    Britten, K. H. V.
    Rep. and Memoranda no. 2441, Ministry of Supply [London], Aeronaut. Res. Council, (1952). 13 pp, MathSciNet.  
  65. On the Asymptotic Shape of the Cavity Behind an Axially Symmetric Nose Moving Through an Ideal Fluid  
    Francis Scheid  
    American Journal of Mathematics, Vol. 72, No. 3. (Jul., 1950), pp. 485-501, Jstor.  
  66. The ring doublet in ideal fluid flow.
    Streeter, V. L.
    Proceedings of the Midwestern Conference on Fluid Dynamics, 1950, pp, 56--65 (1 plate). J. W. Edwards, Ann Arbor, Michigan, 1951, MathSciNet.  
  67. On a new method of approximation for treating compressible fluid flow.
    Imai, Isao
    J. Phys. Soc. Japan 3, (1948). 352--356, MathSciNet.  
  68. On Bergman's integration method in two-dimensional compressible fluid flow.
    Mises, R.; Schiffer, M.
    Edited by Richard von Mises and Theodore von Kármán  
    Advances in Applied Mechanics, pp. 249--285 Academic Press, Inc., New York, N. Y., 1948, MathSciNet.  
  69. On the Equation of Joukowski's Aerofoils (in Discussions and Notes)  
    J. D. Mancill; Betty Thomas  
    American Mathematical Monthly, Vol. 53, No. 3. (Mar., 1946), pp. 147-149, Jstor.  
  70. On the Asymptotic Shape of the Cavity Behind an Axially Symmetric Nose Moving Through an Ideal Fluid  
    Norman Levinson  
    The Annals of Mathematics, 2nd Ser., Vol. 47, No. 4. (Oct., 1946), pp. 704-730, Jstor.  
  71. On the Use of Conformal Mapping in Shaping Wing Profiles  
    R. S. Burington  
    American Mathematical Monthly, Vol. 47, No. 6. (Jun. - Jul., 1940), pp. 362-373, Jstor.  
  72. Existence Theorem for the Flow of an Ideal Incompressible Fluid in Two Dimensions  
    A. C. Schaeffer  
    Transactions of the American Mathematical Society, Vol. 42, No. 3. (Nov., 1937), pp. 497-513, Jstor.  

 

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