Bibliography for Ideal Fluid Flow

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  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. 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.  
  4. 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.  
  5. 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.  
  6. 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.  
  7. 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.  
  8. 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.  
  9. 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.  
  10. 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.  
  11. 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.  
  12. 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.  
  13. 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.  
  14. 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.  
  15. 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.  
  16. 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.  
  17. 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.  
  18. Computer-Assisted Teaching of marine Hydrodynamics  
    Denson, Lee A. and Dick K. P. Yue  
    Computers Educ., (1989), Vol. 13, No. 3, pp. 279-303.
  19. 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.
  20. 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.  
  21. Curvature, Circles, and Conformal Maps (in Notes)  
    Alan F. Beardon  
    American Mathematical Monthly, Vol. 94, No. 1. (Jan., 1987), pp. 48-53, Jstor.  
  22. 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.
  23. Plotting Streamlines and Pathlines on a Microcomputer  
    Kranc, S. C.  
    Comp. in Ed. Div. of ASEE, (1986), V. VI, No. 3, pp. 20-21.
  24. 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.
  25. Nonintegrability and chaos in unsteady ideal fluid flow.
    Suresh, Ambady
    AIAA J. 23 (1985), no. 8, 1285--1287, MathSciNet.  
  26. Cartan-Frobenius integration method and exact solutions for relativistic ideal fluid flows.
    Rosen, Gerald
    Phys. Rev. Lett. 53 (1984), no. 12, 1149--1152, MathSciNet.  
  27. Numerical Fluid Dynamics  
    Garrett Birkhoff  
    SIAM Review, Vol. 25, No. 1. (Jan., 1983), pp. 1-34, Jstor.  
  28. 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.  
  29. 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.  
  30. 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.  
  31. 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.  
  32. A generalized complex potential in fluid dynamics.
    González, M. O.
    Univ. Nac. Tucumán Rev. Ser. A 29 (1979), no. 1, 71--79 (1987), MathSciNet.  
  33. On Oscillatory Flows
    Sacksteder, Richard C.
    Math. Intell, (1978), V. 1, No. 1, pp. 45- 51.
  34. 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.  
  35. 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.  
  36. 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.  
  37. 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.  
  38. 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.  
  39. 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.  
  40. 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.  
  41. 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.  
  42. 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.  
  43. On a new method of approximation for treating compressible fluid flow.
    Imai, Isao
    J. Phys. Soc. Japan 3, (1948). 352--356, MathSciNet.  
  44. 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.  
  45. 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.  
  46. 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.  
  47. 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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