-
1
-
-
18944400520
-
New similarity reductions of the Boussinesq equation
-
P. A. Clarkson and M. D. Kruskal, New similarity reductions of the Boussinesq equation. J. Math. Phys. 30 (1989) 2201-2213.
-
(1989)
J. Math. Phys.
, vol.30
, pp. 2201-2213
-
-
Clarkson, P.A.1
Kruskal, M.D.2
-
3
-
-
84935573705
-
Further solutions of the Falkner-Skan equation
-
K. Stewartson, Further solutions of the Falkner-Skan equation. Proc. Camb. phil. Soc. 50 (1954) 454-465.
-
(1954)
Proc. Camb. Phil. Soc.
, vol.50
, pp. 454-465
-
-
Stewartson, K.1
-
4
-
-
0003026378
-
Grenzschichten in flüssigkeiten mit kleiner reibung
-
H. Blasius, Grenzschichten in Flüssigkeiten mit kleiner Reibung. Z. Math. U. Phys. 56 (1908) 1-37.
-
(1908)
Z. Math. U. Phys.
, vol.56
, pp. 1-37
-
-
Blasius, H.1
-
5
-
-
0000960029
-
Die grenzschicht an einem in den gleichförmigen flüssigkeitsstrom eingetauchten geraden kreiszylinder
-
K. Hiemenz, Die Grenzschicht an einem in den gleichförmigen Flüssigkeitsstrom eingetauchten geraden Kreiszylinder. Dinglers J. 326 (1911) 321-410.
-
(1911)
Dinglers J.
, vol.326
, pp. 321-410
-
-
Hiemenz, K.1
-
6
-
-
0001520256
-
Solutions of the boundary-layer equations
-
V. M. Falkner and S. W. Skan, Solutions of the boundary-layer equations. Phil. Mag. (7) 12 (1931) 865-896.
-
(1931)
Phil. Mag.
, vol.12
, Issue.7
, pp. 865-896
-
-
Falkner, V.M.1
Skan, S.W.2
-
7
-
-
33748716786
-
Laminare strahlausbreitung
-
H. Schlichting, Laminare Strahlausbreitung. Z. angew. Math. Mech. 13 (1933) 260-263.
-
(1933)
Z. Angew. Math. Mech.
, vol.13
, pp. 260-263
-
-
Schlichting, H.1
-
8
-
-
0000620783
-
The plane jet
-
G. Bickley, The plane jet. Phil. Mag. 23 (1937) 727-731.
-
(1937)
Phil. Mag.
, vol.23
, pp. 727-731
-
-
Bickley, G.1
-
9
-
-
0013210876
-
The laminar boundary layer on oscillating plates and cylinders
-
M. B. Glauert, The laminar boundary layer on oscillating plates and cylinders. J. Fluid Mech. 1 (1956) 97-110.
-
(1956)
J. Fluid Mech.
, vol.1
, pp. 97-110
-
-
Glauert, M.B.1
-
10
-
-
0038418507
-
On the motion of solid bodies through viscous liquids
-
Lord Rayleigh, On the motion of solid bodies through viscous liquids. Phil. Mag. (6) 21 (1911) 697-711.
-
(1911)
Phil. Mag.
, vol.21
, Issue.6
, pp. 697-711
-
-
Rayleigh, L.1
-
12
-
-
44949283480
-
Nonclassical symmetry reductions for the Kadomtsev-Petviashvili equation
-
P. A. Clarkson and P. Winternitz, Nonclassical symmetry reductions for the Kadomtsev-Petviashvili equation. Physica D49 (1991) 257-272.
-
(1991)
Physica
, vol.D49
, pp. 257-272
-
-
Clarkson, P.A.1
Winternitz, P.2
-
14
-
-
0016116325
-
Semisimilar solutions to unsteady boundary-layer flows including separation
-
J. C. Williams and W. D. Johnson, Semisimilar solutions to unsteady boundary-layer flows including separation. AIAA J. 12 (1974) 1388-1393.
-
(1974)
AIAA J.
, vol.12
, pp. 1388-1393
-
-
Williams, J.C.1
Johnson, W.D.2
-
15
-
-
0025481603
-
A class of solutions of the boundary-layer equations
-
G. I. Burdé, A class of solutions of the boundary-layer equations. Fluid Dynamics 25 (1990) 201-207.
-
(1990)
Fluid Dynamics
, vol.25
, pp. 201-207
-
-
Burdé, G.I.1
-
16
-
-
0028428663
-
The construction of special explicit solutions of the boundary-layer equations - Steady flows
-
_, The construction of special explicit solutions of the boundary-layer equations - steady flows. Q. Jl Mech. appl. Math 47 (1994) 247-260.
-
(1994)
Q. Jl Mech. Appl. Math
, vol.47
, pp. 247-260
-
-
-
17
-
-
0029403953
-
The construction of special explicit solutions of the boundary-layer equations - Unsteady flows
-
_, The construction of special explicit solutions of the boundary-layer equations - unsteady flows. Ibid. 48 (1995) 611-633.
-
(1995)
Q. Jl Mech. Appl. Math
, vol.48
, pp. 611-633
-
-
-
18
-
-
0010237431
-
New similarity reductions of the steady-state boundary-layer equations
-
_, New similarity reductions of the steady-state boundary-layer equations. J. Phys. A: Math. Gen. 29 (1996) 1665-1683.
-
(1996)
J. Phys. A: Math. Gen.
, vol.29
, pp. 1665-1683
-
-
-
19
-
-
0030216397
-
Similarity solutions for steady laminar convection along heated plates with variable oblique suction: Newtonian and Darcian fluid flow
-
P. D. Weidman and M.F. Amberg, Similarity solutions for steady laminar convection along heated plates with variable oblique suction: Newtonian and Darcian fluid flow. Q. Jl Mech. appl. Math. 49 (1996) 373-403.
-
(1996)
Q. Jl Mech. Appl. Math.
, vol.49
, pp. 373-403
-
-
Weidman, P.D.1
Amberg, M.F.2
-
20
-
-
0004065402
-
Similiarity methods for differential equations
-
Springer, New York
-
G. W. Bluman and J. D. Cole, Similiarity Methods for Differential Equations, Applied Mathematical Sciences 13 (Springer, New York 1974).
-
(1974)
Applied Mathematical Sciences
, vol.13
-
-
Bluman, G.W.1
Cole, J.D.2
-
21
-
-
0003339099
-
Symmetries and differential equations
-
Springer, New York
-
G. W. Bluman and S. Kumei, Symmetries and Differential Equations, Applied Mathematical Sciences 81 (Springer, New York 1989).
-
(1989)
Applied Mathematical Sciences
, vol.81
-
-
Bluman, G.W.1
Kumei, S.2
-
25
-
-
0003317855
-
Applications of lie groups to differential equations
-
2nd edition Springer, New York
-
P. J. Olver, Applications of Lie groups to Differential Equations, Graduate Texts in Mathematics 107, 2nd edition (Springer, New York 1993).
-
(1993)
Graduate Texts in Mathematics
, vol.107
-
-
Olver, P.J.1
-
30
-
-
0025463468
-
Similarity solutions of the two-dimensional unsteady boundary-layer equations
-
P. K. H. Ma and W. H. Hui, Similarity solutions of the two-dimensional unsteady boundary-layer equations. J. Fluid Mech. 216 (1990) 537-559.
-
(1990)
J. Fluid Mech.
, vol.216
, pp. 537-559
-
-
Ma, P.K.H.1
Hui, W.H.2
-
31
-
-
84974510063
-
A differential constraints approach to partial invariance
-
J. Ondich, A differential constraints approach to partial invariance. Europ. J. Appl. Math. 6 (1995) 631-637.
-
(1995)
Europ. J. Appl. Math.
, vol.6
, pp. 631-637
-
-
Ondich, J.1
-
32
-
-
0005103541
-
Theory of consistency and methods of integrating systems of nonlinear partial differential equations
-
Leningrad (Russian)
-
N. N. Yanenko, Theory of consistency and methods of integrating systems of nonlinear partial differential equations. In Proceedings of the Fourth All-Union Mathematics Congress (Leningrad 1964) 247-259 (Russian).
-
(1964)
Proceedings of the Fourth All-Union Mathematics Congress
, pp. 247-259
-
-
Yanenko, N.N.1
-
33
-
-
46149142625
-
The construction of special solutions to partial differential equations
-
P. J. Olver and P. Rosenau, The construction of special solutions to partial differential equations. Phys. Lett. A 114 (1986) 107-112.
-
(1986)
Phys. Lett. A
, vol.114
, pp. 107-112
-
-
Olver, P.J.1
Rosenau, P.2
-
34
-
-
0023327684
-
Group-invariant solutions of differential equations
-
_ and _, Group-invariant solutions of differential equations. SIAM J. appl. Math. 47 (1987) 263-275.
-
(1987)
SIAM J. Appl. Math.
, vol.47
, pp. 263-275
-
-
-
35
-
-
0000478462
-
The general similarity of the heat equation
-
G. W. Bluman and J. D. Cole, The general similarity of the heat equation. J. Math. Mech. 18 (1969) 1025-1042.
-
(1969)
J. Math. Mech.
, vol.18
, pp. 1025-1042
-
-
Bluman, G.W.1
Cole, J.D.2
-
36
-
-
0001678923
-
Nonclassical symmetry reduction: Example of the Boussinesq equation
-
D. Levi and P. Winternitz, Nonclassical symmetry reduction: example of the Boussinesq equation. J. Phys. A: Math. Gen. 22 (1989) 2915-2924.
-
(1989)
J. Phys. A: Math. Gen.
, vol.22
, pp. 2915-2924
-
-
Levi, D.1
Winternitz, P.2
-
38
-
-
0001719798
-
Conditional symmetry of the equations of mathematical physics
-
W. I. Fushchych, Conditional symmetry of the equations of mathematical physics. Ukrain. Math. J. 43 (1991) 1456-1470.
-
(1991)
Ukrain. Math. J.
, vol.43
, pp. 1456-1470
-
-
Fushchych, W.I.1
-
41
-
-
0010250789
-
The nonclassical group analysis of the heat equation
-
E. L. Mansfield, The nonclassical group analysis of the heat equation. J. Math. Anal. Appl. 231 (1999) 526-542.
-
(1999)
J. Math. Anal. Appl.
, vol.231
, pp. 526-542
-
-
Mansfield, E.L.1
-
42
-
-
33646984319
-
Nonclassical symmetry reductions of the Boussinesq equation
-
P. A. Clarkson, Nonclassical symmetry reductions of the Boussinesq equation. Chaos, Solitons & Fractals 5 (1995) 2261-2301.
-
(1995)
Chaos, Solitons & Fractals
, vol.5
, pp. 2261-2301
-
-
Clarkson, P.A.1
-
43
-
-
0005144466
-
The classical, direct and nonclassical methods for symmetry reductions of nonlinear partial differential equations
-
_, D. K. Ludlow and T. J. Priestley, The classical, direct and nonclassical methods for symmetry reductions of nonlinear partial differential equations. Meth. appl. Anal. 4 (1997) 173-195.
-
(1997)
Meth. Appl. Anal.
, vol.4
, pp. 173-195
-
-
Ludlow, D.K.1
Priestley, T.J.2
-
44
-
-
84972500466
-
On new exact blow-up solutions for nonlinear heat conduction equations with source and applications
-
V. A. Galaktionov, On new exact blow-up solutions for nonlinear heat conduction equations with source and applications. Diff. Int. Eqns 3 (1990) 863-874.
-
(1990)
Diff. Int. Eqns
, vol.3
, pp. 863-874
-
-
Galaktionov, V.A.1
-
45
-
-
21844483286
-
New exact solutions of Burgers's equation - An extension to the direct method of Clarkson and Kruskal
-
S. Hood, New exact solutions of Burgers's equation - an extension to the direct method of Clarkson and Kruskal. J. Math. Phys. 36 (1995) 1971-1990.
-
(1995)
J. Math. Phys.
, vol.36
, pp. 1971-1990
-
-
Hood, S.1
-
46
-
-
0039629669
-
Developments in similarity methods related to the pioneering work of Julian Cole
-
ed. L. P. Cook, V. Roytburd and M. Turin; SIAM, Philadelphia
-
G. W. Bluman and V. Shtelen, Developments in similarity methods related to the pioneering work of Julian Cole. In Mathematics is for Solving Problems (ed. L. P. Cook, V. Roytburd and M. Turin; SIAM, Philadelphia 1996) 105-117.
-
(1996)
Mathematics is for Solving Problems
, pp. 105-117
-
-
Bluman, G.W.1
Shtelen, V.2
-
48
-
-
84972091492
-
Nonclassical symmetry reductions and exact solutions of the Zabalotskaya-Khokhlov equation
-
P. A. Clarkson and S. Hood, Nonclassical symmetry reductions and exact solutions of the Zabalotskaya-Khokhlov equation. Europ. J. appl. Math. 3 (1992) 381-414.
-
(1992)
Europ. J. Appl. Math.
, vol.3
, pp. 381-414
-
-
Clarkson, P.A.1
Hood, S.2
-
49
-
-
21344480376
-
New symmetry reductions and exact solutions of the Davey-Stewartson equation. I. Reductions to ordinary differential equations
-
_ and _, New symmetry reductions and exact solutions of the Davey-Stewartson equation. I. Reductions to ordinary differential equations. J. Math. Phys. 35 (1994) 255-283.
-
(1994)
J. Math. Phys.
, vol.35
, pp. 255-283
-
-
-
50
-
-
0040121940
-
Nonclassical symmetry reductions of the two-dimensional incompressible Navier-Stokes equations
-
D. K. Ludlow, P. A. Clarkson and A. P. Bassom, Nonclassical symmetry reductions of the two-dimensional incompressible Navier-Stokes equations. Stud. appl. Math. 103 (1999) 183-240.
-
(1999)
Stud. Appl. Math.
, vol.103
, pp. 183-240
-
-
Ludlow, D.K.1
Clarkson, P.A.2
Bassom, A.P.3
-
51
-
-
0028768164
-
Direct reduction and differential constraints
-
P. J. Olver, Direct reduction and differential constraints. Proc. R. Soc. A 444 (1994) 509-523.
-
(1994)
Proc. R. Soc. A
, vol.444
, pp. 509-523
-
-
Olver, P.J.1
-
52
-
-
21344479980
-
Nonclassical symmetry solutions and the methods of Bluman-Cole and Clarkson-Kruskal
-
D. Arrigo, P. Broadbridge and J. M. Hill, Nonclassical symmetry solutions and the methods of Bluman-Cole and Clarkson-Kruskal. J. Math. Phys 34 (1993) 4692-4703.
-
(1993)
J. Math. Phys
, vol.34
, pp. 4692-4703
-
-
Arrigo, D.1
Broadbridge, P.2
Hill, J.M.3
-
54
-
-
0001424046
-
Similarity reductions of partial differential equations
-
E. Pucci, Similarity reductions of partial differential equations. J. Phys. A: Math. Gen. 25 (1992) 2631-2640.
-
(1992)
J. Phys. A: Math. Gen.
, vol.25
, pp. 2631-2640
-
-
Pucci, E.1
-
57
-
-
0001744933
-
Unsteady viscous flow in the vicinity of a stagnation point
-
N. Rott, Unsteady viscous flow in the vicinity of a stagnation point. Q. appl. Math. 13 (1956) 444-451.
-
(1956)
Q. Appl. Math.
, vol.13
, pp. 444-451
-
-
Rott, N.1
-
59
-
-
0031522251
-
New solutions for laminar boundary layers with cross flow
-
P. D. Weidman, New solutions for laminar boundary layers with cross flow. Z. angew. Math. Phys. 48 (1997) 341-356.
-
(1997)
Z. Angew. Math. Phys.
, vol.48
, pp. 341-356
-
-
Weidman, P.D.1
-
60
-
-
0030821104
-
Boundary layer similarity flow driven by power-law shear
-
P. D. Weidman, D. G. Kubitschek and S. N. Brown, Boundary layer similarity flow driven by power-law shear. Acta Mech. 120 (1997) 199-215.
-
(1997)
Acta Mech.
, vol.120
, pp. 199-215
-
-
Weidman, P.D.1
Kubitschek, D.G.2
Brown, S.N.3
-
61
-
-
0042173311
-
Sur les équations différentielles du troisième ordre et d'ordre supérieur dont l'intégrale générale a ses points critiques fixes
-
J. Chazy, Sur les équations différentielles du troisième ordre et d'ordre supérieur dont l'intégrale générale a ses points critiques fixes. Acta Math. 34 (1911) 317-385.
-
(1911)
Acta Math.
, vol.34
, pp. 317-385
-
-
Chazy, J.1
-
63
-
-
0029703994
-
Symmetry and the Chazy equation
-
P. A. Clarkson and P. J. Olver, Symmetry and the Chazy equation. J. Diff. Eqns 124 (1996) 225-246.
-
(1996)
J. Diff. Eqns
, vol.124
, pp. 225-246
-
-
Clarkson, P.A.1
Olver, P.J.2
-
64
-
-
36749106124
-
A connection between nonlinear evolution equations and ordinary differential equations of Painlevé type
-
M. J. Ablowitz, A. Ramani and H. Segur, A connection between nonlinear evolution equations and ordinary differential equations of Painlevé type. J. Math. Phys. 21 (1980) 715-721.
-
(1980)
J. Math. Phys.
, vol.21
, pp. 715-721
-
-
Ablowitz, M.J.1
Ramani, A.2
Segur, H.3
-
65
-
-
0031148294
-
On the effects of suction and injection on the absolute instability of the rotating-disk boundary layer
-
R. J. Lingwood, On the effects of suction and injection on the absolute instability of the rotating-disk boundary layer. Phys. Fluids 9 (1997) 1317-1328.
-
(1997)
Phys. Fluids
, vol.9
, pp. 1317-1328
-
-
Lingwood, R.J.1
-
66
-
-
0032261957
-
Active control of wave instabilities in three-dimensional compressible flows
-
M. S. Mughal, Active control of wave instabilities in three-dimensional compressible flows. Theoret. & Comput. Fluid Dyn. 12(1998) 195-217.
-
(1998)
Theoret. & Comput. Fluid Dyn.
, vol.12
, pp. 195-217
-
-
Mughal, M.S.1
-
67
-
-
0032475752
-
Nonclassical symmetry reductions of the three-dimensional incompressible Navier-Stokes equations
-
D. K. Ludlow, P. A. Clarkson and A. P. Bassom, Nonclassical symmetry reductions of the three-dimensional incompressible Navier-Stokes equations. J. Phys. A: Math. Gen. 31 (1998) 7965-7980.
-
(1998)
J. Phys. A: Math. Gen.
, vol.31
, pp. 7965-7980
-
-
Ludlow, D.K.1
Clarkson, P.A.2
Bassom, A.P.3
|