Grigory Barenblatt

Grigory Barenblatt's AcademicInfluence.com Rankings

Grigory Barenblatt

Mathematics

#1009

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#1737

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Applied Mathematics

#23

World Rank

#27

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Measure Theory

#178

World Rank

#276

Historical Rank

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Mathematics

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According to Wikipedia, Grigory Isaakovich Barenblatt was a Russian mathematician. Education Barenblatt graduated in 1950 from Moscow State University, Department of Mechanics and Mathematics. He received his Ph.D. in 1953 from Moscow State University under the supervision of A. N. Kolmogorov.

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Grigory Barenblatt's Published Works

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Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

THE MATHEMATICAL THEORY OF EQUILIBRIUM CRACKS IN BRITTLE FRACTURE (1962) (4659)
Basic concepts in the theory of seepage of homogeneous liquids in fissured rocks [strata] (1960) (2493)
Scaling: Self-similarity and intermediate asymptotics (1996) (1671)
The formation of equilibrium cracks during brittle fracture. General ideas and hypotheses. Axially-symmetric cracks (1959) (1188)
The Mathematical Theory of Combustion and Explosions (2011) (797)
Similarity, Self-Similarity and Intermediate Asymptotics (1979) (629)
Theory of Fluid Flows Through Natural Rocks (1990) (473)
Scaling, Self-similarity, and Intermediate Asymptotics: Dimensional Analysis and Intermediate Asymptotics (1996) (378)
Scaling laws for fully developed turbulent shear flows. Part 1. Basic hypotheses and analysis (1993) (314)
Self-Similar Solutions as Intermediate Asymptotics (1972) (257)
Scaling laws for fully developed turbulent shear flows. Part 2. Processing of experimental data (1993) (171)
Nonlinear dynamics and turbulence (1983) (164)
The Mathematical Model of Nonequilibrium Effects in Water-Oil Displacement (2003) (138)
A degenerate pseudoparabolic regularization of a nonlinear forward-backward heat equation arising in the theory of heat and mass exchange in stably stratified turbulent shear flow (1993) (114)
A mathematical model of fluid and gas flow in nanoporous media (2012) (106)
Theorv of flame propagation (1959) (100)
INCOMPLETE SELF‐SIMILARITY OF FATIGUE IN THE LINEAR RANGE OF CRACK GROWTH (1980) (95)
Scaling laws for fully developed turbulent flow in pipes: discussion of experimental data. (1997) (89)
Equilibrium cracks formed during brittle fracture rectilinear cracks in plane plates (1959) (88)
INTERMEDIATE ASYMPTOTICS IN MATHEMATICAL PHYSICS (1971) (79)
Concerning equilibrium cracks forming during brittle fracture. The stability of isolated cracks. Relationships with energetic theories (1959) (79)
Self-similar intermediate structures in turbulent boundary layers at large Reynolds numbers (1999) (79)
Does fully developed turbulence exist? Reynolds number independence versus asymptotic covariance (1995) (77)
The Mathematical Model of Non-Equilibrium Effects in Water-Oil Displacement (2002) (70)
Local Structure of Mature Dust Storms (1974) (67)
New Perspectives in Turbulence: Scaling Laws, Asymptotics, and Intermittency (1998) (64)
The turbulent wall jet: a triple-layered structure and incomplete similarity. (2005) (59)
Mathematical model of the non equilibrium water oil displacement in porous strata (1997) (58)
Similarity laws for turbulent stratified shear flows (1979) (58)
Scaling Phenomena in Fatigue and Fracture (2004) (58)
On brittle cracks under longitudinal shear (1961) (54)
Scaling laws for fully developed turbulent flow in pipes: Discussion of experimental data (1997) (53)
ON THE SCALING LAWS (INCOMPLETE SELF-SIMILARITY WITH RESPECT TO REYNOLDS NUMBERS) FOR THE DEVELOPED TURBULENT LOWS IN TUBES (1991) (53)
Filtration of two nonmixing fluids in a homogeneous porous medium (1971) (52)
On certain boundary-value problems for the equations of seepage of a liquid in fissured rocks (1963) (49)
Micromechanics of fracture (1993) (47)
A mathematical model of turbulent heat and mass transfer in stably stratified shear flow (1993) (47)
A note concerning the Lighthill "sandwich model" of tropical cyclones. (2005) (45)
Scaling Laws for Fully Developed Turbulent Flow in Pipes 1 (1996) (44)
Self-similar intermediate asymptotics for a degenerate parabolic filtration-absorption equation. (2000) (44)
Collected Papers Of R S Rivlin (1997) (42)
Scaling laws and vanishing-viscosity limits for wall-bounded shear flows and for local structure in developed turbulence (1997) (41)
A note on the intermediate region in turbulent boundary layers (2000) (40)
Scaling of the intermediate region in wall-bounded turbulence: The power law (1998) (39)
A note concerning power-type constitutive equations of deformation and fracture of solids (1982) (39)
Self-similar solutions of the second kind in nonlinear filtration: PMM vol. 33, n≗5, 1969, pp. 861–870 (1969) (38)
Nonequilibrium counterflow capillary impregnation (1987) (38)
Similarity principles for the biology of pelagic animals. (1983) (38)
Selected works of Yakov Borisovich Zeldovich (1991) (35)
Structure of the zero-pressure-gradient turbulent boundary layer. (1997) (34)
Self-similar explosion waves of variable energy at the front (1980) (34)
Small viscosity asymptotics for the inertial range of local structure and for the wall region of wall-bounded turbulent shear flow. (1996) (31)
On some general concepts of the mathematical theory of brittle fracture (1964) (31)
A model of a turbulent boundary layer with a nonzero pressure gradient (2002) (31)
A mathematical model for the scaling of turbulence. (2004) (29)
Scaling Phenomena in Fluid Mechanics (1995) (29)
The problem of the spreading of a liquid film along a solid surface: a new mathematical formulation. (1997) (28)
On the wedging of brittle bodies (1960) (27)
A mathematical model of damage accumulation taking into account microstructural effects (1993) (24)
Oil Deposits in Diatomites: A New Challenge for Subterranean Mechanics (2002) (22)
The Gas Dynamics of Combustion (1985) (22)
The Asymptotic Properties of Self-Modeling Solutions of the Nonstationary Gas Filtration Equations (1958) (21)
Self-similarity of damage cumulation (1985) (21)
Intermediate asymptotics, scaling laws and renormalization group in continuum mechanics (1993) (20)
On moment relations on surfaces of discontinuity in dissipative media (1963) (20)
A new free boundary problem for unsteady flows in porous media (1998) (20)
Self-similar intermediate asymptotics for nonlinear degenerate parabolic free-boundary problems that occur in image processing (2001) (19)
Scaling laws in nanomechanics (2010) (18)
Flow, Deformation and Fracture: Lectures on Fluid Mechanics and the Mechanics of Deformable Solids for Mathematicians and Physicists (2014) (18)
Comment on the paper “on the scaling of three-dimentsional homogeneous and isotropic turbulence” by Benzi et al. (1999) (18)
The thermal explosion revisited. (1998) (18)
On the nonsteady propagation of cracks (1962) (17)
Self-similar solutions of the second kind in the problem of propagation of intense shock waves: PMM vol.34, n≗4. 1970, pp. 685–692 (1970) (17)
Transfer of a passive additive in a turbulent boundary layer at very large Reynolds numbers (2003) (17)
Self-oscillatory modes of fatigue fracture and the formation of self-similar structures at the fracture surface (1993) (16)
Turbulent flows at very large Reynolds numbers: new lessons learned (2014) (16)
On a model of small fatigue cracks (1987) (15)
Scaling laws for turbulent wall bounded shear flows at very large Reynolds numbers (1999) (15)
Neck propagation in polymers (1974) (14)
Chemical physics and hydrodynamics (1992) (14)
Nonlinear Diffusion and Image Contour Enhancement (2003) (14)
On the theory of self-similar degeneracy of homogeneous isotropic turbulence (1973) (14)
Evolution of a turbulent burst (1987) (13)
The 1999 James Lighthill Memorial Paper: Scaling laws for turbulent wall-bounded shear flows at very large Reynolds numbers (1999) (13)
Scaling, Self-similarity, and Intermediate Asymptotics: References (1996) (13)
Turbulent boundary layers at very large Reynolds numbers (2003) (13)
Characteristic length scale of the intermediate structure in zero-pressure-gradient boundary layer flow. (2000) (12)
The influence of the flow of the reacting gas on the conditions for a thermal explosion. (1997) (12)
Dimensional Analysis and Similarity (1979) (12)
Destruction of Metallic Obstacles by a Jet of Dilute Polymer Solution (1973) (12)
Similarity methods in the mechanics and physics of fracture (1986) (12)
Application of the Similarity Method to Damage Cumulation and Fatigue Crack Growth Studies (1982) (11)
On the finiteness of stresses at the [leading] edge of an arbitrary crack (1961) (11)
Turbulence: An Old Challenge and New Perspectives (1998) (11)
On the Special Features of Oil and Gas Field Development Due to Effects of Initial Pressure Gradients (1971) (11)
On a model of laminar–turbulent transition (1990) (11)
On the impact of a visco-plastic bar on a rigid obstacle (1962) (11)
On Vertical Diffusion of Gases in a Horizontal Reservoir (2003) (11)
On the structure of wave fronts in nonlinear dissipative media (1985) (10)
Analysis of Experimental Investigations of Self-Similar Intermediate Structures in Zero-Pressure Boundary Layers at Large Reynolds Numbers (2000) (10)
Wedging of an elastic body by a slender wedge moving with a constant super-Rayleigh subsonic velocity (1972) (10)
Some General Aspects of Fracture Mechanics (1993) (9)
Methods of Combustion Theory in the Mechanics of Deformation, Flow, and Fracture of Polymers (1973) (9)
Model of clustering of earthquakes. (1981) (9)
A mathematical model of gas outflow from gas-saturated ice and gas hydrates (2016) (9)
Envisioning Science: The Design and Craft of the Science Image (2003) (9)
Effect of high-molecular formations on turbulence in dilute polymer solutions (1968) (9)
On the Influence of Vibrational Heating on the Fracture Propagation in Polymeric Materials (1970) (8)
On finiteness conditions in the mechanics of continuous media. static problems of the theory of elasticity (1960) (8)
Nonlocal damage accumulation and fluid flow in diatomites (2005) (8)
Self-similarity: Dimensional analysis, and intermediate asymptotics (1980) (7)
On the wedging of brittle bodies. Self-oscillations during wedging (1963) (7)
Effect of small additions of soluble high - Molecular compounds on the fluid flow regime (1965) (7)
Self-similarity: Similarity and intermediate asymptotic form (1976) (6)
On the equilibrium and propagation of cracks in an ainisotropic medium (1961) (6)
The Theory of the Unsteady Filtration of Liquid and Gas (Teoriya Nestatsionarnoy Filtratsii Zhidkosti i Gaza) (1977) (6)
Correction to the review “mathematical theory of cracks formed as a result of brittle fracture” (1966) (6)
Some problems of kinetics of crack propagation (1968) (6)
23. Theoretical Principles of Hydraulic Fracturing of Oil Strata (1959) (6)
Scaling: Dimensional analysis and physical similarity (2003) (6)
Scaling laws and vanishing viscosity limits in turbulence theory (2007) (5)
The Time-Independent Theory of Thermal Explosions (1985) (5)
Dimensions, dimensional analysis and similarity (1996) (5)
Similarity criteria and scales for crystals (2017) (4)
Wedging of an elastic body by a slender wedge moving with a constant super-rayleigh subsonic velocity (1972) (4)
Drag-reducing effect of solutions of some high-molecular compounds in turbulent flow past bodies (1965) (4)
On the extension of the neok of polymer specimens under tension (1964) (4)
Instability and Turbulence (1989) (3)
Universality of the linear nanoscale (2014) (3)
On the structure of the field of microstresses of steady plastic flow (1964) (3)
On the problem of turbulent flows in pipes at very large Reynolds numbers (2015) (3)
On a boundary layer problem related to the gas flow in shales (2014) (3)
A possible mechanism to account for the effect of added polymers on turbulence (1965) (3)
Self-Similar Intermediate Asymptotics of Some Linear Problems in the Theory of Elasticity and the Hydrodynamics of Ideal Fluids (1979) (3)
Scaling, Self-similarity, and Intermediate Asymptotics: The construction of intermediate-asymptotic solutions using dimensional analysis. Self-similar solutions (1996) (3)
Very intense pulse in the groundwater flow in fissurized-porous stratum. (1999) (3)
Visualized Flow. Compiled by the Japan Society of Mechanical Engineers. Edited by Y. NAKAYAMA, W. A. WOODS and D. G. CLARK. Pergamon Press, 1988. 137 pp. £15. (1989) (3)
Hot-wire anemometer study of the structure of polymer solutions (1968) (3)
Shear flow laminarization and acceleration by suspended heavy particles: A mathematical model and geophysical applications (2009) (3)
Particles, nuclei, and the universe (1993) (3)
Effects of small vibrations on the deformation of polymers (1966) (2)
Introduction. Foundations of the Science of Combustion: Basic Physical Concepts (1985) (2)
Vibrational creep of polymer materials (1965) (2)
Destruction of Transparent Materials by Laser Radiation. Formation of Gas Bubbles and Wedging of the Material by Gas Pressure (1967) (2)
Deformation and Fracture Behaviour of Polymers. Engineering Materials Series (2003) (2)
A mathematical model of turbulent drag reduction by high-molecular-weight polymeric additives in a shear flow (2008) (2)
Selected Works of Yakov Borisovich Zeldovich, Volume II: Particles, Nuclei, and the Universe (1993) (2)
Self-oscillations during the wedging of thin bodies (1963) (2)
Chaos, Dynamics and Fractals. An Algorithmic Approach to Deterministic Chaos. By J. L. McCauley. Cambridge University Press, 1993. 323 pp. £50 (hardback) or £16.95 (paperback). (1994) (2)
Damage accumulation: A non-local model (2001) (2)
Correction to the paper by G I Barenblatt, A J Chorin, V M Prostokishin “Turbulent flows at very large Reynolds numbers: new lessons learned” [Physics-Uspekhi 57 (3) 250-256 (2014)] (2014) (2)
Piercing a metallic barrier with a jet of a dilute polymer solution (1973) (2)
Modified Problem of an Instantaneous Heat Source: Self-Similar Solution of the Second Kind (1979) (2)
Physico-Chemical Hydrodynamics of Enhanced Oil Recovery (1990) (1)
The Application of Dimensional Analysis to the Construction of Exact Special Solutions to Problems of Mathematical Physics. Self-Similar Solutions (1979) (1)
On Damage Propagation in a Soft Low-Permeability Formation (2003) (1)
An Introduction to Rheology. By H. A. BARNES. J. F. HUTTON and K. WALTERS. Elsevier, 1989. 199 pp. $92 (hardback) or $60.50 (paperback). (1991) (1)
Nonequilibrium effects in the filtration of viscoelastic liquids (1973) (1)
Steady and quasi-steady thin viscous flows near the edge of a solid surface (2010) (1)
Thermal Mechanism of Cold-Drawing of Polymers (1970) (1)
A new formulation of the near-equilibrium theory of turbulence (1999) (1)
Diffusional Combustion of Gases (1985) (1)
On the propagation of excitation in an electrochemical diffusion model of a nerve (1965) (1)
The Kolmogorov-Obukhov Exponent in the Inertial Range of Turbulence: A Reexamination of Experimental Data (1999) (1)
The discreteness of fracture (1982) (1)
Comment on the discreteness of fracture (1982) (1)
Scaling in turbulence (1996) (1)
Energy of Tycho's Supernova Remnant is increasing with time (2008) (1)
Knut Bertram Broberg: February 4, 1925 to May 3, 2005 (2010) (1)
Nonlinear effects in gas filtration (1969) (1)
On the structure of fully developed plastic flow in polymers (1966) (1)
Classification of similarity rules and self-similar solutions. A recipe for the application of similarity analysis (1996) (1)
The theory of the unsteady filtration of liquid and gas, part 3 (1977) (1)
Scaling: Scaling and transformation groups. Renormalization group (2003) (1)
Nonclassical Models of the Flow of Homogeneous Fluids (1990) (1)
Flow, Deformation and Fracture: Dimensional analysis and physical similitude (2014) (1)
Topological Fluid Mechanics: Proceedings of the WTAM Symposium. Edited by H. K. MOFFATT and A. TSINOBER. Cambridge University Press, 1990.805 pp. £60. (1992) (1)
Universality of the linear nanoscale (2014) (0)
Similarity criteria and scales for crystals (2017) (0)
The linear elastic solid approximation. Applications: brittle and quasi-brittle fracture; strength of structures (2014) (0)
Some new problems of turbulence in fluid with highly stable stratification (1983) (0)
Self-similar solutions and travelling waves (1996) (0)
Complex and Chain Reactions in Flames (1985) (0)
Modelofclustering ofearthquakes (earthquake. prediction/crack propagation/cohesion/dynamical friction) (1981) (0)
Scaling Limits and Models in Physical Processes. By C. CERCIGNANI & D. H. SATTINGER. DMV Seminar Band 28. Birkhäuser, 1998. 190 pp. ISBN 3 7643 5985 4 (Basel), 0 8176 5985 4 (Boston). DM 58. (1999) (0)
On Asymptotical Properties of Self-Similar Solutions to the Equations of Nonstationary Filtration of Gas (1998) (0)
The Initiation of Chemical Reaction Waves in Fuel Mixtures: Time-Dependent Statements of the Problem (1985) (0)
Self-Similar Solutions and Progressive Waves (1979) (0)
Impact of a Viscoplastic Rod against a Rigid Obstruction (1962) (0)
Self-Similarities of the First and Second Kind in the Theory of Turbulence. Shear Flow (1979) (0)
On a boundary layer problem related to the gas flow in shales (2013) (0)
Self-Similarity and Transformation Groups (1979) (0)
Scaling: miscellaneous special problems (1996) (0)
Original Research the use of a Neural Network Classi er of Material Facture Criteria for the Rational Choice of the Method for Cutting of Rolled Stocks (2021) (0)
The Basic Physical Concepts and Models of Subterranean Fluid Dynamics (1990) (0)
The Kinematics of Mixing: Stretching, Chaos and Transport. By J. M. OTTINO. Cambridge University Press, 1987. 364 pp. £50. (1992) (0)
The linear elastic solid approximation. Basic equations and boundary value problems in the linear theory of elasticity (2014) (0)
Concerning the remarks by A. I. Korneev (1976) (0)
Kolmogorov–Obukhov Phenomenon in Turbulence (2018) (0)
The ideal incompressible fluid approximation: analysis and applications (2014) (0)
Gravity Currents: In the Environment and the Laboratory. By J. E. SIMPSON. Ellis Horwood, 1987. 244 pp. £35. (1989) (0)
Book reviews (1973) (0)
Impact of rock micro- and macrostructure on the behavior of large waterfloods (2001) (0)
Very intense pulse in the groundwater ﬂow in (cid:12)ssurized-porous stratum (2000) (0)
Classical Linear Models of the Flow of a Homogeneous Fluid Through Porous Media (1990) (0)
Mars: Local Structure of Dust Storms (1974) (0)
Stability of Self-Similar Solutions (1979) (0)
Action of laser radiation on rocks (1970) (0)
The ideal incompressible fluid approximation: general concepts and relations (2014) (0)
Scaling laws and self-similar solutions that cannot be obtained by dimensional analysis (2003) (0)
eb 2 00 0 A Note on the Intermediate Region in Turbulent Boundary Layers (2000) (0)
Scaling: Scaling laws and fractals (2003) (0)
The Newtonian viscous fluid approximation. General comments and basic relations (2014) (0)
Scaling: Complete and incomplete similarity. Self-similar solutions of the first and second kind (2003) (0)
Self-Similarities of the First and Second Kind in the Theory of Turbulence. Homogeneous Isotropic Turbulence (1979) (0)
JET OF A DILUTE POLYMER SOLUTION (1973) (0)
Two-Phase Flow and Water-Oil Displacement (1990) (0)
Invariant solutions: asymptotic conservation laws, spectrum of eigenvalues, and stability (1996) (0)
Books-Received - Selected Works of Yakov Borisovich Zeldovich V.2 - Particles Nuclei and the Universe (1993) (0)
Self-maintaining regimes for deformation and fracture of solids (1975) (0)
Classification of Self-Similar Solutions (1979) (0)
Scaling in geophysical fluid dynamics (1996) (0)
Advanced similarity methods: complete and incomplete similarity (2014) (0)
Foreword by A. J. Chorin (2003) (0)
Classical Nonlinear Models of Homogeneous Fluid Flow Through Porous Media (1990) (0)
In Memoriam (2010) (0)
SCALING LAWSFOR TURBULENCEAT VERYLARGE REYNOLDS NUMBERS (1999) (0)
Nonlinear Inelastic Deformation Waves in Polymers and Metals (1983) (0)
Autooscillation of Fatigue Crack (1994) (0)
The Spectrum of Exponents in Self-Similar Variables (1979) (0)
Scaling, Self-similarity, and Intermediate Asymptotics: Self-similarities of the second kind: first examples (1996) (0)
Fe b 20 03 Nonlinear Diffusion and Image Contour Enhancement (0)
Turbulence: mathematical models of turbulent shear flows and of the local structure of turbulent flows at very large Reynolds numbers (2014) (0)
The Problem of a Strong Explosion with Energy Loss or Deposition at the Front of the Shock Wave and the Problem of an Impulsive Load: Self-Similar Solutions of the Second Kind (1979) (0)
Self-similar phenomena and travelling waves (2003) (0)
Scaling in the deformation and fracture of solids (1996) (0)
Scaling laws for turbulent jet flows at very large Reynolds numbers (2005) (0)
The Newtonian viscous fluid approximation. Applications: the boundary layer (2014) (0)
Intermediate asymptotics in micromechanics (1992) (0)
A Note Concerning the Turbulent Boundary Layer Drag at Large Reynolds Numbers (2000) (0)
Flow, Deformation and Fracture: Turbulence: generalities; scaling laws for shear flows (2014) (0)
Flow, Deformation and Fracture: The ideal gas approximation. Sound waves; shock waves (2014) (0)

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