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Barenblatt, Grigory Isaakovich

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Author ID: barenblatt.grigory-isaakovich Recent zbMATH articles by "Barenblatt, Grigory Isaakovich"
Published as: Barenblatt, G.; Barenblatt, G. I.; Barenblatt, G. J.; Barenblatt, Grigorij Isaakovitch; Barenblatt, Grigory Isaakovich
Homepage: https://math.berkeley.edu/~gibar/
External Links: MGP · Math-Net.Ru · Wikidata · ORCID · GND
Documents Indexed: 105 Publications since 1950, including 7 Books
Biographic References: 2 Publications
all top 5

Serials

18 PMM, Journal of Applied Mathematics and Mechanics
14 Proceedings of the National Academy of Sciences of the United States of America
10 Prikladnaya Matematika i Mekhanika
5 Journal of Fluid Mechanics
4 Physics of Fluids
3 European Journal of Applied Mathematics
3 Soviet Physics. Doklady
3 Doklady Akademii Nauk SSSR. Novaya Seriya
3 Cambridge Texts in Applied Mathematics
2 Archive for Rational Mechanics and Analysis
2 Journal of Engineering Mathematics
2 Russian Mathematical Surveys
2 Meccanica
2 Zhurnal Prikladnoĭ Mekhaniki i Tekhnicheskoĭ Fiziki
2 Communications in Applied Mathematics and Computational Science
1 Applicable Analysis
1 Communications on Pure and Applied Mathematics
1 Doklady Akademii Nauk SSSR
1 International Journal of Engineering Science
1 Journal of Applied Mathematics and Mechanics
1 Uspekhi Matematicheskikh Nauk [N. S.]
1 Physica D
1 Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya
1 Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences
1 SIAM Journal on Mathematical Analysis
1 SIAM Review
1 Comptes Rendus de l’Académie des Sciences. Série II
1 Notices of the American Mathematical Society
1 Proceedings of the Estonian Academy of Sciences. Physics, Mathematics
1 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings
1 Interfaces and Free Boundaries
1 International Journal of Fracture
1 Izvestiya Akademii Nauk SSSR. Otdelenie Tekhnicheskikh Nauk. Mekhanika i Mashinostroenie
1 Izvestiya Akademii Nauk SSSR. Mekhanika i Mashinostroenie
1 Theory and Applications of Transport in Porous Media
1 Vestnik Moskovskogo Universiteta, Seriya Fiziko-Matematicheskikh i Èstestvennykh Nauk
1 Interaction of Mechanics and Mathematics

Publications by Year

Citations contained in zbMATH Open

81 Publications have been cited 1,721 times in 1,449 Documents Cited by Year
Basic concepts in the theory of seepage of homogeneous liquids in fissured rocks (strata). Zbl 0104.21702
Barenblatt, G. I.; Zheltov, Yu. P.; Kochina, I. N.
365
1960
Scaling, self-similarity, and intermediate asymptotics. Zbl 0907.76002
Barenblatt, G. I.
252
1996
Über gewisse instationäre Bewegungen einer Flüssigkeit und eines Gases in einem porösen Medium. Zbl 0049.41902
Barenblatt, G. I.
135
1952
Theory of fluid flows through natural rocks. Zbl 0769.76001
Barenblatt, G. I.; Entov, V. M.; Ryzhik, V. M.
117
1990
The formation of equilibrium cracks during brittle fracture. General ideas and hypotheses. Axially-symmetric cracks. Zbl 0095.39202
Barenblatt, G. I.
95
1959
Similarity, self-similarity, and intermediate asymptotics. Transl. from Russian by Norman Stein, ed. by Milton Van Dyke. Zbl 0467.76005
Barenblatt, G. I.
70
1979
Self-similar solutions as intermediate asymptotics. Zbl 0249.76001
Barenblatt, G. I.; Zel’dovich, Ya. B.
57
1972
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. Zbl 0790.35054
Barenblatt, G. I.; Bertsch, M.; Dal Passo, R.; Ughi, M.
48
1993
Scaling laws for fully developed turbulent shear flows. I: Basic hypotheses and analysis. Zbl 0772.76026
Barenblatt, G. I.
48
1993
Über automodulierte Bewegungen einer kompressiblen Flüssigkeit in einem porösen Medium. Zbl 0047.19204
Barenblatt, G. I.
43
1952
Scaling. Zbl 1094.00006
Barenblatt, G. I.
31
2003
A mathematical model of turbulent heat and mass transfer in stably stratified shear flow. Zbl 0777.76041
Barenblatt, G. I.; Bertsch, M.; Dal Passo, R.; Prostokishin, V. M.; Ughi, M.
23
1993
Self-similar intermediate asymptotics for a degenerate parabolic filtration-absorption equation. Zbl 0966.35069
Barenblatt, G. I.; Bertsch, M.; Chertock, A. E.; Prostokishin, V. M.
19
2000
New perspectives in turbulence: Scaling laws, asymptotics, and intermittency. Zbl 0947.76035
Barenblatt, G. I.; Chorin, A. J.
16
1998
Mathematical model of the non-equilibrium water-oil displacement in porous strata. Zbl 0899.76344
Barenblatt, Grigory Isaakovich; Garcia-Azorero, Jesús; De Pablo, Arturo; Vazquez, Juan Luis
16
1997
Self-similar intermediate structures in turbulent boundary layers at large Reynolds numbers. Zbl 0959.76030
Barenblatt, G. I.; Chorin, A. J.; Prostokishin, V. M.
15
2000
Scaling laws for fully developed turbulent shear flows. II: Processing of experimental data. Zbl 0772.76027
Barenblatt, G. I.; Prostokishin, V. M.
15
1993
On the wedging of brittle bodies. Zbl 0113.17605
Barenblatt, G. I.; Cherepanov, G. P.
15
1960
Scaling laws for fully developed turbulent flow in pipes: Discussion of experimental data. Zbl 0872.76047
Barenblatt, G. I.; Chorin, A. J.; Prostokishin, V. M.
14
1997
On brittle cracks under longitudinal shear. Zbl 0107.41102
Barenblatt, G. I.; Cherepanov, G. P.
14
1961
Fundamental equations of filtration of homogeneous liquids in fissured rocks. Zbl 0097.21303
Barenblatt, G. I.; Zheltov, Yu. P.
13
1960
Über eine Klasse von genauen Lösungen der ebenen eindimensionalen Aufgabe der instationären Filtration eines Gases in einem porösen Medium. Zbl 0053.46103
Barenblatt, G. I.
13
1953
Small viscosity asymptotics for the inertial range of local structure and for the wall region of wall-bounded turbulent shear flow. Zbl 0856.76026
Barenblatt, G. I.; Chorin, Alexandre J.
12
1996
Self-similar solutions of the second kind in nonlinear filtration. Zbl 0215.29201
Barenblatt, G. I.; Sivashinskij, G. I.
12
1969
On equilibrium cracks formed in brittle fracture. Zbl 0094.38104
Barenblatt, G. I.
12
1959
Scaling laws and vanishing-viscosity limits for wall-bounded shear flows and for local structure in developed turbulence. Zbl 0866.76035
Barenblatt, G. I.; Chorin, Alexandre J.
11
1997
Concerning equilibrium cracks forming during brittle fracture. The stability of isolated cracks. Relationships with energetic theories. Zbl 0101.16901
Barenblatt, G. I.
11
1959
Structure of the zero-pressure-gradient turbulent boundary layer. Zbl 0899.76231
Barenblatt, G. I.; Chorin, A. J.; Hald, O. H.; Prostokishin, V. M.
10
1997
Nonlinear diffusion and image contour enhancement. Zbl 1064.35212
Barenblatt, G. I.; Vázquez, J. L.
9
2004
A note on the intermediate region in turbulent boundary layers. Zbl 1184.76045
Barenblatt, G. I.; Chorin, A. J.; Prostokishin, V. M.
9
2000
Nonlinear dynamics and turbulence. Zbl 0521.00028
Barenblatt, G. I. (ed.); Iooss, G. (ed.); Joseph, D. D. (ed.)
9
1983
Intermediate asymptotics in mathematical physics. Zbl 0227.35013
Barenblatt, G. I.; Zel’dovich, Ya. B.
9
1972
On certain boundary-value problems for the equations of seepage of a liquid in fissured rocks. Zbl 0136.46703
Barenblatt, G. I.
9
1963
Asymptotic properties of similarity solutions of equations of unsteady motion of gas through porous media. Zbl 0101.21004
Zel’dovich, Ya. B.; Barenblatt, G. I.
9
1958
Scaling of the intermediate region in wall-bounded turbulence: the power law. Comment on: “Log laws or power laws: the scaling in the overlap region” [Phys. Fluid 9 (1997), no. 7, 2094–2100] by M. V. Zagarola, A. E. Perry and A. J. Smits. Zbl 1185.76655
Barenblatt, G. I.; Chorin, Alexandre J.
8
1998
Does fully developed turbulence exist? Reynolds number independence versus asymptotic covariance. Zbl 1026.76529
Barenblatt, G. I.; Goldenfeld, Nigel
8
1995
On moment relations on surfaces of discontinuity in dissipative media. Zbl 0142.43304
Barenblatt, G. I.; Ceryi, G. G.
8
1963
On the equilibrium and propagation of cracks in an anisotropic medium. Zbl 0111.37602
Barenblatt, G. I.; Cherepanov, G. P.
7
1961
Scaling laws for turbulent wall-bounded shear flows at very large Reynolds numbers. Zbl 0944.76028
Barenblatt, G. I.
6
1999
Scaling phenomena in fluid mechanics. Zbl 0820.76001
Barenblatt, Grigory Isaakovich
6
1994
Selfsimilar turbulence propagation from an instantaneous plane source. Zbl 0531.76055
Barenblatt, G. I.
6
1983
Equilibrium cracks formed during brittle fracture rectilinear cracks in plane plates. Zbl 0090.15204
Barenblatt, G.
6
1959
Über Grenzfäle der Darstellung durch Analogieprozesse von Bewegungen in der Theorie der instationären Filtration eines Gases in einem porösen Medium und in der Grenzschichttheorie. Zbl 0059.20404
Barenblatt, G. I.
6
1954
Über die Bewegung schwebender Teilchen in einer turbulenten Strömung. Zbl 0053.15302
Barenblatt, G. I.
6
1953
A mathematical model for the scaling of turbulence. Zbl 1063.76043
Barenblatt, Grigory Isaakovich; Chorin, Alexandre J.
5
2004
Transfer of a passive additive in a turbulent boundary layer at very large Reynolds numbers. Zbl 1063.76042
Barenblatt, G. I.
5
2003
Self-similar intermediate asymptotics for nonlinear degenerate parabolic free-boundary problems that occur in image processing. Zbl 0999.35113
Barenblatt, G. I.
5
2001
Comment on the paper “On the scaling of three-dimensional homogeneous and isotropic turbulence” by Benzi et al. Zbl 0973.76561
Barenblatt, G. I.; Chorin, A. J.; Prostokishin, V. M.
5
1999
The problem of the spreading of a liquid film along a solid surface: A new mathematical formulation. Zbl 0893.76016
Barenblatt, G. I.; Beretta, E.; Bertsch, M.
5
1997
Characteristic length scale of the intermediate structure in zero-pressure-gradient boundary layer flow. Zbl 0977.76036
Barenblatt, G. I.; Chorin, A. J.; Prostokishin, V. M.
4
2000
A new free boundary problem for unsteady flows in porous media. Zbl 0931.76091
Barenblatt, G. I.; Vazquez, J. L.
4
1998
The thermal explosion revisited. Zbl 0926.76127
Barenblatt, G. I.; Bell, J. B.; Crutchfield, W. Y.
4
1998
A mathematical model of damage accumulation taking into account microstructural effects. Zbl 0789.73053
Barenblatt, G. I.; Prostokishin, V. M.
4
1993
Über die endliche Fortpflanzungsgeschwindigkeit bei nichtstationärer Filtration von Flüssigkeiten und Gasen. Zbl 0074.43006
Barenblatt, G. I.; Vishik, M. I.
4
1956
Über die Bewegung von suspendierten Teilchen in einer turbulenten Strömung, die einen Halbraum oder einen ebenen offenen Kanal endlicher Tiefe einnimmt. Zbl 0068.20401
Barenblatt, G. I.
4
1955
Scaling phenomena in fatigue and fracture. Zbl 1112.74056
Barenblatt, G. I.
3
2006
A model of a turbulent boundary layer with a nonzero pressure gradient. Zbl 1030.76022
Barenblatt, G. I.; Chorin, A. J.; Prostokishin, V. M.
3
2002
Self-oscillatory modes of fatigue fracture and the formation of self- similar structures at the fracture surface. Zbl 0785.73059
Barenblatt, G. I.; Botvina, L. R.
3
1993
Intermediate asymptotics, scaling laws and renormalization group in continuum mechanics. Zbl 0782.76008
Barenblatt, G. I.
3
1993
Similarity laws for turbulent stratified shear flows. Zbl 0441.76046
Barenblatt, G. I.; Monin, A. S.
3
1979
Self-similar solutions of the second kind in the problem of propagation of intense shock waves. Zbl 0222.76064
Barenblatt, G. I.; Sivashinskij, G. I.
3
1970
On the impact of a visco-plastic bar on a rigid obstacle. Zbl 0116.16203
Barenblatt, G. I.; Ishlinskij, A. Yu.
3
1962
Turbulence: An old challenge and new perspectives. Zbl 0931.76031
Barenblatt, G. I.; Chorin, A. J.
2
1998
Scaling laws and vanishing viscosity limits in turbulence theory. Zbl 0892.35122
Barenblatt, G. I.
2
1998
The influence of the flow of the reacting gas on the conditions for a thermal explosion. Zbl 0945.76091
Barenblatt, G. I.; Chorin, A. J.; Kast, A.
2
1997
On the scaling laws (incomplete self-similarity with respect to Reynolds numbers) for the developed turbulent flows in tubes. Zbl 0734.76030
Barenblatt, Grigorij Isaakovitch
2
1991
On the structure of wave fronts in nonlinear dissipative media. Zbl 0584.76063
Barenblatt, G. I.; Ivanov, M. Ya.; Shapiro, G. I.
2
1985
On some general concepts of the mathematical theory of brittle fracture. Zbl 0136.22103
Barenblatt, G. I.
2
1964
On the finiteness of stresses at the (leading) edge of an arbitrary crack. Zbl 0112.39405
Barenblatt, G. I.; Cherepanov, G. P.
2
1961
On finiteness conditions in the mechanics of continuous media. Static problems of the theory of elasticity. Zbl 0096.39001
Barenblatt, G. I.
2
1960
Über eine Näherungslösung von Problemen der eindimensionalen, instationären Filtration in einem porösen Medium. Zbl 0059.20403
Barenblatt, G. I.
2
1954
Steady and quasi-steady thin viscous flows near the edge of a solid surface. Zbl 1330.76042
Barenblatt, G. I.; Bertsch, M.; Giacomelli, L.
1
2010
Shear flow laminarization and acceleration by suspended heavy particles: a mathematical model and geophysical applications. Zbl 1187.76668
Barenblatt, Grigory Isaakovich
1
2009
Some general aspects of fracture mechanics. Zbl 0802.73055
Barenblatt, G. I.
1
1993
On a model of laminar-turbulent transition. Zbl 0692.76055
Barenblatt, G. I.
1
1990
A note concerning power-type constitutive equations of deformation and fracture of solids. Zbl 0468.73114
Barenblatt, G. I.; Botvina, L. R.
1
1982
Die Zwischen-Asymptotiken in der mathematischen Physik. Zbl 0218.35010
Barenblatt, G. I.; Zel’dovich, Ya. B.
1
1971
On the propagation of excitation in an electrochemical diffusion model of a nerve. Zbl 0145.46306
Barenblatt, G. I.; Entov, V. M.; Salganik, R. L.
1
1965
On the wedging of brittle bodies. Selfoscillations during wedging. Zbl 0127.16002
Barenblatt, G. I.; Salganik, R. L.
1
1963
Über die Fortpflanzung momentaner Störungen in einem Medium mit nicht-linearer Abhängigkeit der Spannungen von den Deformationen. Zbl 0052.42501
Barenblatt, G. I.
1
1953
Über eine Methode zur Lösung der Wärmeleitungsgleichung. Zbl 0041.22002
Barenblatt, G. I.
1
1950
Steady and quasi-steady thin viscous flows near the edge of a solid surface. Zbl 1330.76042
Barenblatt, G. I.; Bertsch, M.; Giacomelli, L.
1
2010
Shear flow laminarization and acceleration by suspended heavy particles: a mathematical model and geophysical applications. Zbl 1187.76668
Barenblatt, Grigory Isaakovich
1
2009
Scaling phenomena in fatigue and fracture. Zbl 1112.74056
Barenblatt, G. I.
3
2006
Nonlinear diffusion and image contour enhancement. Zbl 1064.35212
Barenblatt, G. I.; Vázquez, J. L.
9
2004
A mathematical model for the scaling of turbulence. Zbl 1063.76043
Barenblatt, Grigory Isaakovich; Chorin, Alexandre J.
5
2004
Scaling. Zbl 1094.00006
Barenblatt, G. I.
31
2003
Transfer of a passive additive in a turbulent boundary layer at very large Reynolds numbers. Zbl 1063.76042
Barenblatt, G. I.
5
2003
A model of a turbulent boundary layer with a nonzero pressure gradient. Zbl 1030.76022
Barenblatt, G. I.; Chorin, A. J.; Prostokishin, V. M.
3
2002
Self-similar intermediate asymptotics for nonlinear degenerate parabolic free-boundary problems that occur in image processing. Zbl 0999.35113
Barenblatt, G. I.
5
2001
Self-similar intermediate asymptotics for a degenerate parabolic filtration-absorption equation. Zbl 0966.35069
Barenblatt, G. I.; Bertsch, M.; Chertock, A. E.; Prostokishin, V. M.
19
2000
Self-similar intermediate structures in turbulent boundary layers at large Reynolds numbers. Zbl 0959.76030
Barenblatt, G. I.; Chorin, A. J.; Prostokishin, V. M.
15
2000
A note on the intermediate region in turbulent boundary layers. Zbl 1184.76045
Barenblatt, G. I.; Chorin, A. J.; Prostokishin, V. M.
9
2000
Characteristic length scale of the intermediate structure in zero-pressure-gradient boundary layer flow. Zbl 0977.76036
Barenblatt, G. I.; Chorin, A. J.; Prostokishin, V. M.
4
2000
Scaling laws for turbulent wall-bounded shear flows at very large Reynolds numbers. Zbl 0944.76028
Barenblatt, G. I.
6
1999
Comment on the paper “On the scaling of three-dimensional homogeneous and isotropic turbulence” by Benzi et al. Zbl 0973.76561
Barenblatt, G. I.; Chorin, A. J.; Prostokishin, V. M.
5
1999
New perspectives in turbulence: Scaling laws, asymptotics, and intermittency. Zbl 0947.76035
Barenblatt, G. I.; Chorin, A. J.
16
1998
Scaling of the intermediate region in wall-bounded turbulence: the power law. Comment on: “Log laws or power laws: the scaling in the overlap region” [Phys. Fluid 9 (1997), no. 7, 2094–2100] by M. V. Zagarola, A. E. Perry and A. J. Smits. Zbl 1185.76655
Barenblatt, G. I.; Chorin, Alexandre J.
8
1998
A new free boundary problem for unsteady flows in porous media. Zbl 0931.76091
Barenblatt, G. I.; Vazquez, J. L.
4
1998
The thermal explosion revisited. Zbl 0926.76127
Barenblatt, G. I.; Bell, J. B.; Crutchfield, W. Y.
4
1998
Turbulence: An old challenge and new perspectives. Zbl 0931.76031
Barenblatt, G. I.; Chorin, A. J.
2
1998
Scaling laws and vanishing viscosity limits in turbulence theory. Zbl 0892.35122
Barenblatt, G. I.
2
1998
Mathematical model of the non-equilibrium water-oil displacement in porous strata. Zbl 0899.76344
Barenblatt, Grigory Isaakovich; Garcia-Azorero, Jesús; De Pablo, Arturo; Vazquez, Juan Luis
16
1997
Scaling laws for fully developed turbulent flow in pipes: Discussion of experimental data. Zbl 0872.76047
Barenblatt, G. I.; Chorin, A. J.; Prostokishin, V. M.
14
1997
Scaling laws and vanishing-viscosity limits for wall-bounded shear flows and for local structure in developed turbulence. Zbl 0866.76035
Barenblatt, G. I.; Chorin, Alexandre J.
11
1997
Structure of the zero-pressure-gradient turbulent boundary layer. Zbl 0899.76231
Barenblatt, G. I.; Chorin, A. J.; Hald, O. H.; Prostokishin, V. M.
10
1997
The problem of the spreading of a liquid film along a solid surface: A new mathematical formulation. Zbl 0893.76016
Barenblatt, G. I.; Beretta, E.; Bertsch, M.
5
1997
The influence of the flow of the reacting gas on the conditions for a thermal explosion. Zbl 0945.76091
Barenblatt, G. I.; Chorin, A. J.; Kast, A.
2
1997
Scaling, self-similarity, and intermediate asymptotics. Zbl 0907.76002
Barenblatt, G. I.
252
1996
Small viscosity asymptotics for the inertial range of local structure and for the wall region of wall-bounded turbulent shear flow. Zbl 0856.76026
Barenblatt, G. I.; Chorin, Alexandre J.
12
1996
Does fully developed turbulence exist? Reynolds number independence versus asymptotic covariance. Zbl 1026.76529
Barenblatt, G. I.; Goldenfeld, Nigel
8
1995
Scaling phenomena in fluid mechanics. Zbl 0820.76001
Barenblatt, Grigory Isaakovich
6
1994
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. Zbl 0790.35054
Barenblatt, G. I.; Bertsch, M.; Dal Passo, R.; Ughi, M.
48
1993
Scaling laws for fully developed turbulent shear flows. I: Basic hypotheses and analysis. Zbl 0772.76026
Barenblatt, G. I.
48
1993
A mathematical model of turbulent heat and mass transfer in stably stratified shear flow. Zbl 0777.76041
Barenblatt, G. I.; Bertsch, M.; Dal Passo, R.; Prostokishin, V. M.; Ughi, M.
23
1993
Scaling laws for fully developed turbulent shear flows. II: Processing of experimental data. Zbl 0772.76027
Barenblatt, G. I.; Prostokishin, V. M.
15
1993
A mathematical model of damage accumulation taking into account microstructural effects. Zbl 0789.73053
Barenblatt, G. I.; Prostokishin, V. M.
4
1993
Self-oscillatory modes of fatigue fracture and the formation of self- similar structures at the fracture surface. Zbl 0785.73059
Barenblatt, G. I.; Botvina, L. R.
3
1993
Intermediate asymptotics, scaling laws and renormalization group in continuum mechanics. Zbl 0782.76008
Barenblatt, G. I.
3
1993
Some general aspects of fracture mechanics. Zbl 0802.73055
Barenblatt, G. I.
1
1993
On the scaling laws (incomplete self-similarity with respect to Reynolds numbers) for the developed turbulent flows in tubes. Zbl 0734.76030
Barenblatt, Grigorij Isaakovitch
2
1991
Theory of fluid flows through natural rocks. Zbl 0769.76001
Barenblatt, G. I.; Entov, V. M.; Ryzhik, V. M.
117
1990
On a model of laminar-turbulent transition. Zbl 0692.76055
Barenblatt, G. I.
1
1990
On the structure of wave fronts in nonlinear dissipative media. Zbl 0584.76063
Barenblatt, G. I.; Ivanov, M. Ya.; Shapiro, G. I.
2
1985
Nonlinear dynamics and turbulence. Zbl 0521.00028
Barenblatt, G. I. (ed.); Iooss, G. (ed.); Joseph, D. D. (ed.)
9
1983
Selfsimilar turbulence propagation from an instantaneous plane source. Zbl 0531.76055
Barenblatt, G. I.
6
1983
A note concerning power-type constitutive equations of deformation and fracture of solids. Zbl 0468.73114
Barenblatt, G. I.; Botvina, L. R.
1
1982
Similarity, self-similarity, and intermediate asymptotics. Transl. from Russian by Norman Stein, ed. by Milton Van Dyke. Zbl 0467.76005
Barenblatt, G. I.
70
1979
Similarity laws for turbulent stratified shear flows. Zbl 0441.76046
Barenblatt, G. I.; Monin, A. S.
3
1979
Self-similar solutions as intermediate asymptotics. Zbl 0249.76001
Barenblatt, G. I.; Zel’dovich, Ya. B.
57
1972
Intermediate asymptotics in mathematical physics. Zbl 0227.35013
Barenblatt, G. I.; Zel’dovich, Ya. B.
9
1972
Die Zwischen-Asymptotiken in der mathematischen Physik. Zbl 0218.35010
Barenblatt, G. I.; Zel’dovich, Ya. B.
1
1971
Self-similar solutions of the second kind in the problem of propagation of intense shock waves. Zbl 0222.76064
Barenblatt, G. I.; Sivashinskij, G. I.
3
1970
Self-similar solutions of the second kind in nonlinear filtration. Zbl 0215.29201
Barenblatt, G. I.; Sivashinskij, G. I.
12
1969
On the propagation of excitation in an electrochemical diffusion model of a nerve. Zbl 0145.46306
Barenblatt, G. I.; Entov, V. M.; Salganik, R. L.
1
1965
On some general concepts of the mathematical theory of brittle fracture. Zbl 0136.22103
Barenblatt, G. I.
2
1964
On certain boundary-value problems for the equations of seepage of a liquid in fissured rocks. Zbl 0136.46703
Barenblatt, G. I.
9
1963
On moment relations on surfaces of discontinuity in dissipative media. Zbl 0142.43304
Barenblatt, G. I.; Ceryi, G. G.
8
1963
On the wedging of brittle bodies. Selfoscillations during wedging. Zbl 0127.16002
Barenblatt, G. I.; Salganik, R. L.
1
1963
On the impact of a visco-plastic bar on a rigid obstacle. Zbl 0116.16203
Barenblatt, G. I.; Ishlinskij, A. Yu.
3
1962
On brittle cracks under longitudinal shear. Zbl 0107.41102
Barenblatt, G. I.; Cherepanov, G. P.
14
1961
On the equilibrium and propagation of cracks in an anisotropic medium. Zbl 0111.37602
Barenblatt, G. I.; Cherepanov, G. P.
7
1961
On the finiteness of stresses at the (leading) edge of an arbitrary crack. Zbl 0112.39405
Barenblatt, G. I.; Cherepanov, G. P.
2
1961
Basic concepts in the theory of seepage of homogeneous liquids in fissured rocks (strata). Zbl 0104.21702
Barenblatt, G. I.; Zheltov, Yu. P.; Kochina, I. N.
365
1960
On the wedging of brittle bodies. Zbl 0113.17605
Barenblatt, G. I.; Cherepanov, G. P.
15
1960
Fundamental equations of filtration of homogeneous liquids in fissured rocks. Zbl 0097.21303
Barenblatt, G. I.; Zheltov, Yu. P.
13
1960
On finiteness conditions in the mechanics of continuous media. Static problems of the theory of elasticity. Zbl 0096.39001
Barenblatt, G. I.
2
1960
The formation of equilibrium cracks during brittle fracture. General ideas and hypotheses. Axially-symmetric cracks. Zbl 0095.39202
Barenblatt, G. I.
95
1959
On equilibrium cracks formed in brittle fracture. Zbl 0094.38104
Barenblatt, G. I.
12
1959
Concerning equilibrium cracks forming during brittle fracture. The stability of isolated cracks. Relationships with energetic theories. Zbl 0101.16901
Barenblatt, G. I.
11
1959
Equilibrium cracks formed during brittle fracture rectilinear cracks in plane plates. Zbl 0090.15204
Barenblatt, G.
6
1959
Asymptotic properties of similarity solutions of equations of unsteady motion of gas through porous media. Zbl 0101.21004
Zel’dovich, Ya. B.; Barenblatt, G. I.
9
1958
Über die endliche Fortpflanzungsgeschwindigkeit bei nichtstationärer Filtration von Flüssigkeiten und Gasen. Zbl 0074.43006
Barenblatt, G. I.; Vishik, M. I.
4
1956
Über die Bewegung von suspendierten Teilchen in einer turbulenten Strömung, die einen Halbraum oder einen ebenen offenen Kanal endlicher Tiefe einnimmt. Zbl 0068.20401
Barenblatt, G. I.
4
1955
Über Grenzfäle der Darstellung durch Analogieprozesse von Bewegungen in der Theorie der instationären Filtration eines Gases in einem porösen Medium und in der Grenzschichttheorie. Zbl 0059.20404
Barenblatt, G. I.
6
1954
Über eine Näherungslösung von Problemen der eindimensionalen, instationären Filtration in einem porösen Medium. Zbl 0059.20403
Barenblatt, G. I.
2
1954
Über eine Klasse von genauen Lösungen der ebenen eindimensionalen Aufgabe der instationären Filtration eines Gases in einem porösen Medium. Zbl 0053.46103
Barenblatt, G. I.
13
1953
Über die Bewegung schwebender Teilchen in einer turbulenten Strömung. Zbl 0053.15302
Barenblatt, G. I.
6
1953
Über die Fortpflanzung momentaner Störungen in einem Medium mit nicht-linearer Abhängigkeit der Spannungen von den Deformationen. Zbl 0052.42501
Barenblatt, G. I.
1
1953
Über gewisse instationäre Bewegungen einer Flüssigkeit und eines Gases in einem porösen Medium. Zbl 0049.41902
Barenblatt, G. I.
135
1952
Über automodulierte Bewegungen einer kompressiblen Flüssigkeit in einem porösen Medium. Zbl 0047.19204
Barenblatt, G. I.
43
1952
Über eine Methode zur Lösung der Wärmeleitungsgleichung. Zbl 0041.22002
Barenblatt, G. I.
1
1950
all top 5

Cited by 2,233 Authors

24 Vazquez, Juan Luis
18 Barenblatt, Grigory Isaakovich
16 Tesei, Alberto
13 Chorin, Alexandre Joel
12 Woods, Andrew W.
11 King, John Robert
11 Showalter, Ralph E.
11 Smarrazzo, Flavia
10 Aronson, Donald G.
10 Bertsch, Michiel
10 Peletier, Lambertus Adrianus
10 Svanadze, Merab Zh.
10 Vasilyeva, Maria V.
9 Chung, Tsz Shun Eric
9 Goldenfeld, Nigel
9 Luo, Zhendong
9 Lyubanova, Anna Sh.
8 Cao, Yang
8 Pankratov, Leonid S.
7 Amaziane, Brahim
7 Beshtokov, Murat Khamidbievich
7 de Pablo, Arturo
7 Momoniat, Ebrahim
7 Neufeld, Jerome A.
7 Sun, Tongjun
7 Zhou, Wenshu
6 Betelú, Santiago I.
6 Carrillo de la Plata, José Antonio
6 Hulshof, Josephus
6 Huppert, Herbert E.
6 Javili, Ali
6 Ohm, Mi-Ray
6 Pandey, Dwijendra Narain
6 Prostokishin, Valeriy M.
6 Shin, Jun Yong
6 Toscani, Giuseppe
6 Vladimirov, Vsevolod A.
6 Yao, Zhengan
5 Angenent, Sigurd Bernardus
5 Bedrikovetsky, Pavel G.
5 Belinchón, José Antonio
5 Beshtokov, Murat Khamidievich
5 Budd, Christopher John
5 Carpinteri, Alberto
5 Caulfield, C. P.
5 Fontelos López, Marco Antonio
5 Frank, Till Daniel
5 Gao, Huajian
5 Gracia, José Luis
5 Guz, Alexander Nikolaevich
5 Hughes, Thomas J. R.
5 Hussain, Fazle
5 Kamin, Shoshana
5 Kinnunen, Juha
5 Kudryashov, Nikolaĭ Alekseevich
5 Kuusi, Tuomo
5 Li, Hong
5 Lindqvist, Peter
5 McCann, Robert J.
5 Murad, Márcio Arab
5 Quirós Gracián, Fernando
5 She, Zhensu
5 Stone, Howard Alvin
5 Teng, Fei
4 Aifantis, Elias C.
4 Arbogast, Todd
4 Babich, S. Yu.
4 Balachandran, Krishnan
4 Bazant, Zdenek Pavel
4 Bernoff, Andrew J.
4 Bertozzi, Andrea Louise
4 Bluman, George W.
4 Borja, Ronaldo I.
4 Borodich, Feodor M.
4 Broadbridge, Philip
4 Chaudhary, Renu
4 Chen, Zhangxin
4 Cherniha, Roman M.
4 Christov, Ivan C.
4 Clavero, Carmelo
4 DiBenedetto, Emmanuele
4 Entov, Vladimir M.
4 Filo, Ján
4 Giacomelli, Lorenzo
4 Gilding, Brian H.
4 Gómez, Héctor W.
4 Grebenev, Vladimir N.
4 Gurtin, Morton Edward
4 Hill, James Murray
4 Huang, ZhaoQin
4 Iagar, Razvan Gabriel
4 Le, Jia-Liang
4 Lisbona Cortés, Francisco Javier
4 Lukkari, Teemu
4 Maczka, Czeslaw
4 Murzenko, V. V.
4 Nagib, Hassan M.
4 Oberlack, Martin
4 Oono, Yosiro
4 Pan, Jiaqing
...and 2,133 more Authors
all top 5

Cited in 285 Serials

90 Journal of Fluid Mechanics
55 Journal of Mathematical Analysis and Applications
41 Journal of Applied Mathematics and Mechanics
36 Journal of Differential Equations
34 Computer Methods in Applied Mechanics and Engineering
33 Journal of the Mechanics and Physics of Solids
33 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
30 Journal of Computational Physics
29 Fluid Dynamics
29 Physica D
29 Physics of Fluids
28 Journal of Computational and Applied Mathematics
27 Acta Mechanica
24 Computers & Mathematics with Applications
21 Applied Mathematics and Computation
20 Applied Mathematics Letters
19 Journal of Engineering Mathematics
18 Archive for Rational Mechanics and Analysis
17 International Journal of Engineering Science
17 International Journal of Solids and Structures
17 Journal of Mathematical Physics
16 Applicable Analysis
16 Computational Geosciences
16 Nonlinear Analysis. Theory, Methods & Applications
15 Applied Mathematical Modelling
14 Applied Numerical Mathematics
13 International Journal of Fracture
12 Chaos, Solitons and Fractals
11 Computational Mechanics
11 European Journal of Applied Mathematics
10 Mathematical Methods in the Applied Sciences
10 ZAMP. Zeitschrift für angewandte Mathematik und Physik
10 Mathematical and Computer Modelling
10 Mathematics and Mechanics of Solids
9 Journal of Mathematical Sciences (New York)
9 European Journal of Mechanics. A. Solids
8 Physica A
8 Soviet Applied Mechanics
8 Mathematics and Computers in Simulation
8 Computational Mathematics and Mathematical Physics
8 Communications in Partial Differential Equations
8 European Journal of Mechanics. B. Fluids
7 Meccanica
7 Quarterly of Applied Mathematics
7 Numerical Methods for Partial Differential Equations
7 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
7 Journal of Elasticity
7 Journal de Mathématiques Pures et Appliquées. Neuvième Série
7 Proceedings of the National Academy of Sciences of the United States of America
7 SIAM Journal on Applied Mathematics
7 PMM, Journal of Applied Mathematics and Mechanics
6 Astrophysics and Space Science
6 Journal of Statistical Physics
6 Prikladnaya Matematika i Mekhanika
6 Annali di Matematica Pura ed Applicata. Serie Quarta
6 Transactions of the American Mathematical Society
6 International Journal of Modern Physics D
6 NoDEA. Nonlinear Differential Equations and Applications
6 Journal of Applied Mechanics and Technical Physics
6 Communications in Nonlinear Science and Numerical Simulation
6 Nonlinear Analysis. Real World Applications
6 Discrete and Continuous Dynamical Systems. Series B
5 General Relativity and Gravitation
5 Mathematical Biosciences
5 Reports on Mathematical Physics
5 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV
5 International Journal for Numerical Methods in Engineering
5 Acta Applicandae Mathematicae
5 Journal of Scientific Computing
5 Japan Journal of Industrial and Applied Mathematics
5 SIAM Journal on Mathematical Analysis
5 Continuum Mechanics and Thermodynamics
5 Russian Mathematics
5 Communications in Numerical Methods in Engineering
4 Computers and Fluids
4 Communications in Mathematical Physics
4 Computer Physics Communications
4 Physics Reports
4 Numerical Functional Analysis and Optimization
4 Siberian Mathematical Journal
4 Studies in Applied Mathematics
4 Applied Mathematics and Mechanics. (English Edition)
4 Acta Mathematicae Applicatae Sinica. English Series
4 Discrete and Continuous Dynamical Systems
4 Doklady Mathematics
4 Abstract and Applied Analysis
4 Journal of Nonlinear Mathematical Physics
4 Differential Equations
4 Journal of Evolution Equations
4 Boundary Value Problems
4 Journal of Siberian Federal University. Mathematics & Physics
3 International Journal of Heat and Mass Transfer
3 International Journal for Numerical and Analytical Methods in Geomechanics
3 Israel Journal of Mathematics
3 Nonlinearity
3 Physics Letters. A
3 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM)
3 Proceedings of the American Mathematical Society
3 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
3 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni
...and 185 more Serials
all top 5

Cited in 43 Fields

637 Fluid mechanics (76-XX)
619 Partial differential equations (35-XX)
294 Mechanics of deformable solids (74-XX)
198 Numerical analysis (65-XX)
69 Ordinary differential equations (34-XX)
59 Geophysics (86-XX)
47 Classical thermodynamics, heat transfer (80-XX)
43 Statistical mechanics, structure of matter (82-XX)
39 Biology and other natural sciences (92-XX)
30 Probability theory and stochastic processes (60-XX)
28 Dynamical systems and ergodic theory (37-XX)
27 Operator theory (47-XX)
24 Relativity and gravitational theory (83-XX)
23 Integral equations (45-XX)
20 Measure and integration (28-XX)
20 Calculus of variations and optimal control; optimization (49-XX)
19 Systems theory; control (93-XX)
15 Global analysis, analysis on manifolds (58-XX)
11 Real functions (26-XX)
10 General and overarching topics; collections (00-XX)
10 Quantum theory (81-XX)
10 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
9 Statistics (62-XX)
9 Mechanics of particles and systems (70-XX)
9 Optics, electromagnetic theory (78-XX)
8 Information and communication theory, circuits (94-XX)
7 Computer science (68-XX)
7 Astronomy and astrophysics (85-XX)
5 Potential theory (31-XX)
5 Special functions (33-XX)
5 Difference and functional equations (39-XX)
5 Functional analysis (46-XX)
5 Differential geometry (53-XX)
3 Approximations and expansions (41-XX)
3 Harmonic analysis on Euclidean spaces (42-XX)
2 History and biography (01-XX)
2 Topological groups, Lie groups (22-XX)
2 Integral transforms, operational calculus (44-XX)
2 Operations research, mathematical programming (90-XX)
1 Mathematical logic and foundations (03-XX)
1 Combinatorics (05-XX)
1 Nonassociative rings and algebras (17-XX)
1 Functions of a complex variable (30-XX)

Citations by Year

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