Arnold, V. I. (1978). Mathematical Methods of Classical Mechanics. Springer-Verlag.CrossRefGoogle Scholar

Batchelor, G. K. (2002). An Introduction to Fluid Dynamics. Cambridge University Press.Google Scholar

Bažant, Z. P. (2002). Scaling of Structural Strength. Hermes-Penton Science.Google Scholar

Bridgman, P. W. (1931). Dimensional Analysis. Yale University Press.Google Scholar

Broberg, K. B. (1999). Cracks and Fracture. Academic Press.Google Scholar

Carpinteri, A. (ed.) (1996). Size-Scale Effects in the Failure Mechanisms of Materials and Structures. E. & F. N. Spon.

Chernyi, G. G. (1961). Introduction to Hypersonic Flows. Academic Press.Google Scholar

Chorin, A. J. (1994). Vorticity and Turbulence. Springer-Verlag.CrossRefGoogle Scholar

Chorin, A. J., and Marsden, J. E. (1992). A Mathematical Introduction to Fluid Mechanics, 3rd edn. Springer-Verlag.Google Scholar

Feynman, R. (2006). The Feynman Lectures on Physics, definitive edn. Addison-Wesley.Google Scholar

Friedrichs, K. O. (1966). Special Topics in Fluid Dynamics. Gordon and Breach.Google Scholar

Frisch, U. (1996). Turbulence. The Legacy of A. N. Kolmogorov. Cambridge University Press.Google Scholar

Galilei, Galileo (1638). Discorsi e Dimonstrazioni Matematiche Intorno a Duo Nuove Scienze. Elsevier, Leida. Also: Dialogues Concerning Two New Sciences. Easton Press (1999).Google Scholar

Germain, P. (1986). Mécanique. École Polytechnique. Ellipses.Google Scholar

Goldenfeld, N. D. (1992). Lectures on Phase Transitions and the Renormalization Group. Perseus Publishing.Google Scholar

Hayes, W. D., and Probstein, R. F. (2004). Hypersonic Inviscid Flow. Dover Publications.Google Scholar

Lamb, H. (1932). Hydrodynamics, 6th edn. Cambridge University Press.Google Scholar

Landau, L. D., and Lifshitz, E. M. (1986). Theory of Elasticity, 3rd edn. Elsevier.Google Scholar

Landau, L. D., and Lifshitz, E. M. (1987). Fluid Mechanics, 2nd edn. Elsevier.Google Scholar

Lighthill, M. J. (1986). An Informal Introduction to Theoretical Fluid Mechanics. Oxford University Press.Google Scholar

Love, A. E. H. (1944). A Treatise on the Mathematical Theory of Elasticity, 4th edn. MacMillan.Google Scholar

Mandelbrot, B. (1975). Les Objets Fractals: Forme, Hasard et Dimension. Flammarion, Paris.Google Scholar

Mandelbrot, B. (1977). Fractals, Form, Chance and Dimension. W. H. Freeman & Co.Google Scholar

Marsden, J. E., and Hughes, T. J. R. (1983). The Mathematical Foundations of Elasticity. Prentice Hall.Google Scholar

Monin, A. S., and Yaglom, A. M. (1975). Statistical Fluid Mechanics, Mechanics of Turbulence, Vol. II. MIT Press.Google Scholar

Monin, A. S., and Yaglom, A. M. (1971). Statistical Fluid Mechanics, Mechanics of Turbulence, Vol. I. MIT Press.Google Scholar

Muskhelishvili, N. I. (1963). Some Basic Problems of Mathematical Theory of Elasticity, 2nd English edn. P. Nordhoft.Google Scholar

Oswatisch, K. (1956). Gas Dynamics. Academic Press.Google Scholar

Prandtl, L., and Tietjens, O. (1931). Hydro und Aeromechanik, Vol. 2. Springer-Verlag.Google Scholar

Schlichting, H. (1968). Boundary Layer Theory, 6th edn. McGraw-Hill.Google Scholar

Suresh, S. (1998). Fatigue ofMaterials. Cambridge University Press.CrossRefGoogle Scholar

Timoshenko, S. P. (1953). History of Strength of Materials. McGraw-Hill.Google Scholar

Timoshenko, S. P., and Goodier, J. N. (1970). Theory of Elasticity. McGraw-Hill.Google Scholar

Todhunter, I., and Pearson, K. (1886). A History of the Theory of Elasticity and of the Strength of Materials, Vol. I. Cambridge University Press.Google Scholar

Van Dyke, M. (1982). An Album of Fluid Motion, 10th edn. Parabolic Press.Google Scholar

Von Kármán, Th. (1957). Aerodynamics. Cornell University Press.Google Scholar

Whitham, G. B. (1974). Linear and Non-linear Waves. J. Wiley & Sons.Google Scholar

Zeldovich, Ya. B., and Raizer, Yu. P. (2002). Physics of Shock Waves and High Temperature Hydrodynamic Phenomena. Dover Publications.Google Scholar

Adamsky, V. B. (1956). Integration of the system of self-similar equations in the problem of an impulsive load on a cold gas. Akust. Zh. 2, 3–9.Google Scholar

Atiyah, M. F., Bott, R., and Gårding, L. (1970). Lacunae for hyperbolic differential operators with constant co-efficients. Acta Math. 124, 109–189.CrossRefGoogle Scholar

Barenblatt, G. I. (1956). On certain problems of the theory of elasticity arising in the study of the mechanism of the hydraulic fracture of oil-bearing strata. J. Appl. Math. Mech. (PMM) 20 (4), 475–486.Google Scholar

Barenblatt, G. I. (1959). On the equilibrium cracks formed in brittle fracture. J. Appl. Math. Mech. (PMM) 23 (3), 434–444; (4) 706-721; (5) 893-900.CrossRefGoogle Scholar

Barenblatt, G. I. (1962). The mathematical theory of equilibrium cracks in brittle fracture. In Advances in Applied Mechanics, H. L., Dryden and Th.von, Kármán (eds.), Vol. VII, pp. 55–129.Google Scholar

Barenblatt, G. I. (1964). On some general concepts of the mathematical theory of brittle fracture. J. Appl. Math. Mech. (PMM) 28 (4), 778–792.CrossRefGoogle Scholar

Barenblatt, G. I. (1996). Scaling, Self-Similarity and Intermediate Asymptotics. Cambridge University Press.CrossRefGoogle Scholar

Barenblatt, G. I. (2003). Scaling. Cambridge University Press.CrossRefGoogle Scholar

Barenblatt, G. I. (2008). A mathematical model of turbulent drag reduction by high-molecular-weight polymeric additions in a shear flow. Phys. Fluids 20, 091 702.CrossRefGoogle Scholar

Barenblatt, G. I., and Botvina, L. R. (1981). Incomplete similarity of fatigue in a linear range of crack growth. Fatigue Eng. Mater. Struct. 3, 193–212.Google Scholar

Barenblatt, G. I., and Chernyi, G. G. (1963). On the moment relations on the discontinuity surfaces in dissipative media. J. Appl. Math. Mech. (PMM) 27 (5), 1205–1218.CrossRefGoogle Scholar

Barenblatt, G. I., Chorin, A. J., and Prostokishin, V. M. (1997). Scaling laws in fully developed turbulent pipe flow. Appl. Mech. Rev. 50, 413–429.CrossRefGoogle Scholar

Barenblatt, G. I., Chorin, A. J., and Prostokishin, V. M. (2000). Self-similar intermediate structures in turbulent boundary layers at large Reynolds numbers. J. Fluid Mech. 410, 263–283.CrossRefGoogle Scholar

Barenblatt, G. I., Chorin, A. J., and Prostokishin, V. M. (2002). A model of turbulent boundary layer with non-zero pressure gradient. Proc. US Nat. Acad. Sci. 99, 5572–5576.CrossRefGoogle Scholar

Barenblatt, G. I., Entov, V. M., and Salganik, R. L. (1966). Kinetics of crack extension. Eng. J. Mech. Solids 1 (5), 53-69; 1 (6), 49–51.Google Scholar

Barenblatt, G. I., and Goldenfeld, N. D. (1995). Does fully developed turbulence exist? Reynolds number independence versus asymptotic covariance. Phys. Fluids 7 (12), 3078–3082.CrossRefGoogle Scholar

Barenblatt, G. I., and Monteiro, P. J. M. (2010). Scaling laws in nanomechanics. Physical Mesomech. 13 (5-6), 245–248.CrossRefGoogle Scholar

Batchelor, G. K. (1947). Kolmogoroff's theory of locally isotropic turbulence. Proc. Camb. Phil. Soc. 43 (4), 533–559.CrossRefGoogle Scholar

Batchelor, G. K. (1996). The Life and Legacy of G. I. Taylor. Cambridge University Press.Google Scholar

Bažant, Z. P. (2002). Scaling of Structural Strength. Hermes-Penton Science.Google Scholar

Benbow, J. J. (1960). Cone cracks in fused silica. Proc. Phys. Soc. B75, 697–699.Google Scholar

Blasius, H. (1908). Grenzschichten in Flüssigkeit mit kleiner Reibung. Z. Math. Phys. 56, 1–37.Google Scholar

Bok, B. J. (1972). The birth of stars. Scientific American 227 (2), 48–65.CrossRefGoogle Scholar

Botvina, L. R. (1989). The Kinetics of Fracture of Structural Materials, Nauka.Google Scholar

Boussinesq, J. (1877). Essai sur la théorie des eaux courants. Mémoirs Présentés par Divers Savants a l'Académie des Sciences, Paris 23 (1), 1–680.Google Scholar

Carpinteri, A. E. (1996). Strength and toughness in disordered materials: complete and incomplete similarity. In Size Scale Effects in the Failure Mechanisms of Materials and Structures, A. E., Carpinteri (ed.), pp. 3–26. E. & F. N. Spon.Google Scholar

Castaing, B., Gagne, Y., and Hopfinger, E. (1990). Velocity probability dencity functions of high Reynolds number turbulence. Physica D 46, 177–220.CrossRefGoogle Scholar

Cauchy, A. L. (1828). Sur les equations qui experiment les conditions d'equilibre ou les lois du movement des fluides. In Exercises de Mathématiques, Bure, Paris. Also in Oevres Complètes d'Augustin Cauchy, II Serie, Tom VIII, pp. 158–179. Gauthier-Villars (1890).Google Scholar

Chaplyguine, S. A. (1910). On the pressure of the plane-parallel flow on the blocking bodies (on the theory of aeroplanes). Mat. Sbornik 28, Moscow.Google Scholar

Chernyi, G. G. (1961). Introduction to Hypersonic Flows. Academic Press.Google Scholar

Chorin, A. J. (1977). Theories of turbulence. In Lecture Notes in Mathematics, Vol. 615, pp. 36–47. Springer-Verlag.Google Scholar

Chorin, A. J. (1994). Vorticity and Turbulence. Springer-Verlag.CrossRefGoogle Scholar

Chorin, A. J. (1998). New perspectives in turbulence. Quart. J. Appl. Math. XIV(4), 767–785.Google Scholar

Cottrell, A. H. (1967). The nature of metals. Scientific American 217 (3), 90–100.CrossRefGoogle Scholar

Dugdale, D. S. (1960). Yielding of steel sheets containing slits. J. Mech. Phys. Solids 8, 100–104.CrossRefGoogle Scholar

Ekman, V. W. (1910). On the change from steady to turbulent motion of liquids. Ark. Mat. Astronom. Fys. 6 (12).Google Scholar

Erm, L. P., and Joubert, P. N. (1991). Low Reynolds-number turbulent boundary layers. J. Fluid Mech. 230, 1–44.CrossRefGoogle Scholar

Fernholz, H. H., and Finley, P. J. (1996). The incompressible zero-pressure gradient turbulent boundary layer: an assessment of the data. Progr. Aero. Sci. 32, 245–311.CrossRefGoogle Scholar

Gilman, J. J. (1967). The nature of ceramics. Scientific American 217 (3), 113–124.CrossRefGoogle Scholar

Goldenfeld, N. D. (1992). Lectures on Phase Transitions and the Renormalization Group. Perseus Publishing.Google Scholar

Goodier, J. N. (1968). Mathematical theory of equilibrium cracks. In Fracture. An Advanced Treatise, Vol. II, H., Liebowitz (ed.), pp. 1–66.Google Scholar

Griffith, A. A. (1920). The phenomenon of rupture and flow in solids. Phil. Trans. Roy. Soc. London A221, 163–198.Google Scholar

Griffith, A. A. (1924). The theory of rupture. In Proc. 1st Int. Congress on Applied Mathematics, Delft, pp. 55–63.Google Scholar

Harmon, L. D. (1973). Recognition of faces. Scientific American 229 (5), 70–82.CrossRefGoogle ScholarPubMed

Hayden, H. W., Gibson, R. C., and Brophy, J. H. (1969). Superplastic steels. Scientific American 220 (3), 28–35.CrossRefGoogle Scholar

Heisenberg, W. (1948). On the theory of statistical and isotropic turbulence. Proc. Roy. Soc. London A195, 402–406.Google Scholar

Hooke, R. (1678). De Potentia Restitutiva. London.Google Scholar

Hunt, J. C. R., Phillips, O. M., and Williams, D. (eds.) (1991). Turbulence and stochastic processes: Kolmogorov's ideas 50 years on. Proc. Roy. Soc. London434.

Irwin, G. R. (1948). Fracture dynamics. In Fracturing of Metals, pp. 147–166. ASM, Cleveland, Ohio.Google Scholar

Irwin, G. R. (1957). Analysis of stresses and strains near the end of a crack traversing aplate. J. Appl. Mech. 24, 361–364.Google Scholar

Irwin, G. R. (1960). Plastic zone near a crack and fracture toughness. In Mechanical and Metallurgical Behaviour of Sheet Materials, Proc. Seventh Sagamore Conf.Google Scholar

Izakson, A. (1937). Formula for the velocity distribution near a wall. Zh. Exper. Teor. Fiz. 7 (7), 919–924.Google Scholar

Joseph, D., Funada, T., and Wang, J. (2008). Potential Flows of Viscous and Viscoelastic Fluids. Cambridge University Press.Google Scholar

Joukovsky, N. E. (1906). On attached vortices. Proc. Section of the Physical Sciences XIII, no. 2. Typography of Moscow University.Google Scholar

Joukovsky, N. E. (1910). Ueber die Konturen der Tragflächen der Drachenfliege. Z. für Flugtechnik and Motorluftschiffahrt I (22), 281–284.Google Scholar

Kelly, A. (1967). The nature of composite materials. Scientific American 217 (3), 160–179.CrossRefGoogle Scholar

Kline, S. J., Reynolds, W. C., Schraub, W. A., and Rundstadler, P. W. (1967). The structure of turbulent boundary layers. J. Fluid Mech. 30 (1), 741–773.CrossRefGoogle Scholar

Kolmogorov, A. N. (1941a). Local structure of turbulence in an incompressible fluid at very high Reynolds numbers. Dokl. Akad. Nauk SSSR 30 (4), 299–303. Also in Selected Works of A. N. Kolmogorov, Vol. I, pp. 312-318. Kluwer (1991).Google Scholar

Kolmogorov, A. N. (1941b). Energy dissipation in locally isotropic turbulence. Dokl. Akad. Nauk SSSR 31 (1), 19–21. Also in Selected Works of A.N.Kolmogorov, Vol. I, pp. 324-327. Kluwer(1991).Google Scholar

Kolmogorov, A. M. (1942). The equations of turbulent motion of incompressible fluids. Izvestiya, Akad. Nauk SSSR, Ser. Fiz. 6 (1-2), 56–58. Also in Selected Works of A. N. Kolmogorov, Vol. I, pp. 328-330. Kluwer (1991).Google Scholar

Kolosov, G. V. (1909). On the application of complex functions theory to a plane problem of the mathematical theory of elasticity. Thesis, Yuriev (Dorpat) University.Google Scholar

Krogstad, P. A., and Antonia, P. A. (1999). Surface roughness effects in turbulent boundary layers. Exp. Fluids 27, 450–460.Google Scholar

Kudin, A. M., Barenblatt, G. I., Kalashnikov, V. N., Vlasov, S. A., and Belokon', V. S. (1973). Destruction of metallic obstacles by a jet of dilute polymer solution. Nature (London), Phys. Sci. 245, 95.CrossRefGoogle Scholar

Kutta, W. M. (1902). Auftriebskrafte in strömenden Flüssigkeiten. In Illustrierte Aeronautische Mitteilungen, München, p. 133.Google Scholar

Kutta, W. M. (1910). Uber eine mit den Grundlagen des Flugproblems in Bezielung stellende zweidimensionale Strömung. Sitzungberichte der Königlich Bayerischen Akademie der Wissenschaften. Mathematisch-Physikalische Klasse 2, 1–58.Google Scholar

Lax, P. (1968). Integrals of nonlinear equations of evolution and solitary waves. Comm. Pure Appl. Math. 21, 467–490.CrossRefGoogle Scholar

Leonov, M. Ya., and Panasyuk, V. V. (1959). Development of the finest cracks in a solid. Prikladna Mech. 5, 391–401.Google Scholar

Lighthill, M. J. (1970). Turbulence. In Osborne Reynolds and Engineering Science Today, D. M., McDowell and J. D., Jackson (eds.), Manchester University Press. Also in Collected Papers of Sir James Lighthill, Vol. II, pp. 83-146. Oxford University Press (1997).Google Scholar

Mark, H. F. (1967). The nature of the polymeric materials. Scientific American, 217 (3), 149–156.CrossRefGoogle Scholar

Maružić, I., and Perry, A. E. (1995). A wall-wake model for the turbulence structure of boundary layers. Part 2. Further experimental support. J. Fluid. Mech. 298, 389–407.Google Scholar

Millikan, C. B. (1939). A critical discussion of turbulence in channels and circular pipes. In Proc. 5th Int. Congress in Applied Mechanics, Cambridge, MA, pp. 386–392.Google Scholar

Monin, A. S., and Yaglom, A. M. (1971). Statistical Fluid Mechanics, Mechanics of Turbulence, Vol. I. MIT Press.Google Scholar

Mott, Sir Nevill (1967). The solid state. Scientific American 217 (3), 80–89.CrossRefGoogle Scholar

Navier, C. L. M. H. (1822). Mémoire sur les lois du mouvement des fluides. Meémoires de l'Acadeémie Royale des Sciences de l'Institut de France 6, 389–449.Google Scholar

Navier, C. L. M. H. (1827). Meéoire sur les lois de l'equilibre et du mouvement des corps solides élastiques. Mémoires de l'Académie Royale des Sciences de l'Institut de France 7, 375–393.Google Scholar

Nigmatulin, R. I. (1965). A plane strong explosion on a boundary of two ideal, calorically perfect gases. Bulletin MGU, Ser. Matem. Mech. 1, 83–87.Google Scholar

Nikuradze, J. (1932). Gesetzmässigkeiten der turbulenten Strömung in glatten Röhren. VDI Forschungsheft, no. 356.Google Scholar

Obukhov, A. M. (1941a). Spectral energy distribution in a turbulent flow. Dokl. Akad. Nauk SSSR 32 (1), 22–24.Google Scholar

Obukhov, A. M. (1941b). Spectral energy distribution in a turbulent flow. Izvestiya Akad. Nauk SSSR, Ser. Geogr. Geofiz. 5 (4-5), 453–466.Google Scholar

Onsager, L. (1945). The distribution of energy in turbulence. Phys. Rev. 68 (11-12), 286.Google Scholar

Orowan, E. O. (1950). Fundamentals of brittle behavior of metals. In Fatigue and Fracture of Metals, W. M., Murray (ed.), pp. 139–167. Wiley.Google Scholar

Oswatisch, K. (1956). Gas Dynamics. Academic Press.Google Scholar

Panasyuk, V. V. (1968). Limiting Equilibrium of Brittle Bodies with Cracks. Naukova Dumka, Kiev.Google Scholar

Panton, R. I. (2002). Evaluation of the Barenblatt–Chorin–Prostokishin power law for boundary layers. Phys. Fluids 14 (5), 1806–1808.CrossRefGoogle Scholar

Paris, P. C., and Erdogan, F. (1963). A critical analysis of crack propagation laws. J. Basic Eng. Trans. ASME, Ser. D 85, 528–534.CrossRefGoogle Scholar

Perry, A. E., Hafer, S., and Chong, M. S. (2001). A possible reinterpretation of the Princeton superpipe data. J. Fluid Mech. 439, 395–401.CrossRefGoogle Scholar

Petrovsky, I. G. (1966). Ordinary Differential Equations. Prentice Hall.Google Scholar

Petrovsky, I. G. (1967). Partial Differential Equations. W. G. Saunders.Google Scholar

Petrovsky, I. G. (1971). Lectures on the Theory of Integral Equations. Mir Publishers.Google Scholar

Poisson, S. D. (1829). Sur les équations général de l'equilibre et du mouvement des corps solides élastiques et des fluides. J. de l'École Royale Polytechnique 13, 1–174.Google Scholar

Prandtl, L. (1905). Uber Flüssigkeits Bewegung bei sehr kleiner Reibung. In Verhandlungen des III Int. Math. Kongress (Heidelberg, 1904), pp. 484–491. Teubner, Leipzig. Also in Ludwig Prandtl: Gesammelte Abhandlungen, W. Tollmien, H. Schlichting, and H. Görtler (eds.), pp. 575-584. Springer-Verlag.Google Scholar

Prandtl, L. (1932). Zur turbulenten Strömung in Röhren and längs Platten. Ergebn. Aerodyn. Versuchsanstalt, Göttingen B4, 18–29.Google Scholar

Prandtl, L. (1945). Uber ein neues Formalsystem für die ausgebildete Turbulenz. Nacht. Akad. Wiss. Göttingen, Math.-Phys. Klasse, 6–18.Google Scholar

Prandtl, L., and Tietjens, O. (1931). Hydro und Aeromechanik, Vol. 2. Springer-Verlag.Google Scholar

Praskovsky, A. S., and Oncley, S. (1994). Measurement of Kolmogorov constant and intermittency exponent at very high Reynolds numbers. Phys. Fluids 6 (9), 2886–2889.CrossRefGoogle Scholar

Rayleigh, Lord J. W. (1877). On the irregular flight of a tennis ball. Messenger of Mathematics VII, 14–16. Also in Scientific Papers, Vol. 1, pp. 344-346. Cambridge University Press (1899).Google Scholar

Reynolds, O. (1883). An experimental investigation of the circumstances which determine whether the motion of water shall be direct or sinuous and the law of resistance in a parallel channel. Phil. Trans. Roy. Soc. London 174, 935–982.CrossRefGoogle Scholar

Reynolds, O. (1894). On the dynamical theory of incompressible viscous fluids and the determination of the criterion. Phil. Trans. Roy. Soc. London 186, 123–161.Google Scholar

Richardson, L. F. (1922). Weather Prediction by Numerical Process. Cambridge University Press.Google Scholar

Ritchie, R. O. (2005). Incomplete self-similarity and fatigue crack growth. Int. J. Fracture 132, 97–203.CrossRefGoogle Scholar

Ritchie, R. O., and Knott, J. F. (1974). Micro cleavage cracking during fatigue crack propagation in low strength steel. Mat. Sci. Engng. 14, 7–14.CrossRefGoogle Scholar

Roesler, F. (1956). Brittle fracture near equilibrium. Proc. Phys. Soc. B69, 981–992.Google Scholar

Russell, J. S. (1844). Report on Waves. In Reports of the XIV Meeting of the British Association for the Advancement of Science. J. Murray.Google Scholar

Saint-Venant, Barré de A. J. C. (1843). Note á joindre au memoire sur la dynamique des fluides presenté le 14 avril 1834. Comptes Rendus de l'Académie des Sciences 17 (22), 1240–1243.Google Scholar

Schiller, L. (1922). Untersuchungen über laminare und turbulente Strömung. Forschungarbeiten Ing.-Wesen H. 248; ZAMM 2, 96–106.Google Scholar

Schlichting, H. (1968). Boundary Layer Theory, 6th edn. McGraw-Hill.Google Scholar

Sedov, L. I. (1946). Propagation of strong shock waves. J. Appl. Math. Mech. (PMM) 10, 241–250. (Pergamon Translation no. 1223).Google Scholar

Sedov, L. I. (1959). Similarity and Dimensional Methods in Mechanics. Academic Press.Google Scholar

Spurk, J. H., and Aksel, N. (2008). Fluid Mechanics. Springer-Verlag.Google Scholar

Stokes, G. G. (1845). On the theories of the internal friction of fluids in motion, and of the equilibrium and motion of elastic solids. Trans. Camb. Phil. Soc. VII (I), 287–319.Google Scholar

Taylor, G. I. (1941). The formation of a blast wave by a very intense explosion. Report RC-210, 27 June 1941, Civil Defense Research Committee.Google Scholar

Taylor, G. I. (1950). The formation of a blast wave by a very intense explosion. II. The atomic explosion of 1945. Proc. Roy. Soc. London A201, 175–186.Google Scholar

Teixeira, R. E., Babcock, H. P., Shaqfeh, E. S. G., and Chu, S. (2005). Shear thinning and tumbling dynamics of single polymers in the flow gradient plane. Macromolecules 38, 581.CrossRefGoogle Scholar

Teixeira, R. E., Dambel, A. K., Richter, D. H., Shaqfeh, E. S. G., and Chu, S. (2007). The individualistic dynamics of entangled DNA in solution. Macro-molecules 40, 2461.CrossRefGoogle Scholar

Töpfer, C. (1912). Anmerkungen zu dem Aufsatz von H. Blasius “Grenzschichten in Flüssigkeit mit kleiner Reibung”. Z. Math. Phys. 60, 397.Google Scholar

Trefil, J. (1999). Other Worlds. Images of the Cosmos from Earth and Space. National Geographic.Google Scholar

Van den Booghart, A. (1966). Crazing and characterization of brittle fracture in polymers. In Proc. Conf. Physical Basis of Yield and Fracture. Oxford University Press.Google Scholar

Vlasov, I. O., Derzhavina, A. I., and Ryzhov, O. S. (1974). On an explosion on the boundary of two media. Comput. Math. and Math. Phys. 14 (6), 1544–1552.CrossRefGoogle Scholar

von Kármán, Th. (1930). Mechanische Ähnlichkeit und Turbulenz. In Proc. III Int. Congr. Applied Mechanics, C. W., Oseen and W., Weibull (eds.), Vol. 1, pp. 81–93. AB Sveriges Litografska Truckenier.Google Scholar

von Kármán, Th., and Howarth, L. (1938). On the statistical theory of isotropic turbulence. Proc. Roy. Soc. London A164 (917), 192–215.Google Scholar

von Koch, H. (1904). Sur une courbe continue sans tangente obtenue par une construction géometrique élémentaire. Arkiv Mat. Astron. Fys. 2, 681–704.Google Scholar

von Mises, R. (1941). Some remarks on the laws of turbulent motion in tubes. In Th. von Kaérmaén Anniversary Volume, pp. 317–327. California Institute of Technology Press.Google Scholar

von Neumann, J. (1941). The point source solution. National Defense Research Committee, Div. B, Report AM-9, 30 June 1941.Google Scholar

von Weizsäcker, C. F. (1948). Der Spektrum der Turbulenz bei grossen Reynolds'schen Zahlen. Z. Physik 124 (7-12), 614–627.Google Scholar

von Weizsäcker, C. F. (1954). Genäherte Darstellung starker instationäzer Stosswellen durch Homologie-Lösungen. Z. Naturforschung 9A, 269–275.Google Scholar

Willis, J. R. (1967). A comparison of the fracture criteria of Griffith and Barenblatt. J. Mech. Phys. Solid 15, 151–162.CrossRefGoogle Scholar

Wu, X., and Moin, P. (2009). Direct numerical simulation of turbulence in a nominally zero-pressure gradient flat plate boundary layer. J. Fluid Mech. 630, 5–41.CrossRefGoogle Scholar

Yaglom, A. M. (1993). Similarity laws for wall turbulent flows: their limitation and generalizations. In Conf. on New Approaches and Concepts in Turbulence, Monte, Verita, Th., Dracos and A., Tsinober (eds.), pp. 7–27. Birkhäuser-Verlag.Google Scholar

Yaglom, A. M. (2000). The century achievements and unsolved problems. In New Trends in Turbulence, M., Lesieur, A., Yaglom and F., David (eds.), pp. 3–52. Springer-Verlag.Google Scholar

Zagarola, M. V. (1996). Mean flow scaling in turbulent pipe flow. Ph.D. thesis, Princeton University.Google Scholar

Zagarola, M. V., Smits, A. J., Orszag, S. A., and Yakhot, V. (1996). Experiments in high Reynolds number turbulent pipe flow. AIAA paper 95-0654, Reno, NV.CrossRefGoogle Scholar

Zeldovich, Ya. B. (1956). The motion of gas under the action of a short term pressure shock. Akust. Zh. 2 (1), 28–30. (Soviet Phys. Acoustics 2, 25–35.)Google Scholar

Zeldovich, Ya. B., and Raizer, Yu. P. (2002). Physics of Shock Waves and High Temperature Hydrodynamic Phenomena. Dover Publications.Google Scholar

Zheltov, Yu. P., and Christianovich, S. A. (1955). On the hydraulic fracture of oil strata. Izvestiya, USSR Acad. Sci., Technical Sci. 5, 3–41.Google Scholar

Zhukov, A. I., and Kazhdan, Ia. M. (1956). Motion of a gas due to the effect of a brief impulse. Soviet Phys. Acoustics 2 (4), 375–381.Google Scholar