-
1
-
-
33644967594
-
A comparison of blob methods for vortex sheet roll-up
-
Baker, G. R.; Pham, L. D. A comparison of blob methods for vortex sheet roll-up. J. Fluid Mech. 547 (2006), 297-316.
-
(2006)
J. Fluid Mech
, vol.547
, pp. 297-316
-
-
Baker, G.R.1
Pham, L.D.2
-
2
-
-
85069341918
-
Improved subgrid-scale models for large-eddy simulation. AIAA-1980-1357
-
13th, Snowmass, Colo., July 14-16
-
Bardina, J.; Ferziger, J. H.; Reynolds, W. C. Improved subgrid-scale models for large-eddy simulation. AIAA-1980-1357. American Institute of Aeronautics and Astronautics, Fluid and Plasma Dynamics Conference, 13th, Snowmass, Colo., July 14-16, 1980, 10 pp.
-
(1980)
American Institute of Aeronautics and Astronautics, Fluid and Plasma Dynamics Conference
, pp. 10
-
-
Bardina, J.1
Ferziger, J.H.2
Reynolds, W.C.3
-
3
-
-
47049118192
-
Global regularity for a Birkhoff-Rott-α approximation of the dynamics of vortex sheets of the 2D Euler equations
-
Bardos, C.; Linshiz, J. S.; Titi, E. S. Global regularity for a Birkhoff-Rott-α approximation of the dynamics of vortex sheets of the 2D Euler equations. Phys. D 237 (2008), no. 14-17, 1905-1911.
-
(2008)
Phys. D
, vol.237
, Issue.14-17
, pp. 1905-1911
-
-
Bardos, C.1
Linshiz, J.S.2
Titi, E.S.3
-
4
-
-
47049096148
-
Euler equations of incompressible ideal fluids
-
Bardos, C.; Titi, E. S. Euler equations of incompressible ideal fluids. Uspekhi Mat. Nauk 62 (2007), no. 3(375), 5-46;translation in Russian Math. Surveys 62 (2007), no. 3, 409-451.
-
(2007)
Uspekhi Mat. Nauk
, vol.62
, Issue.3-375
, pp. 5-46
-
-
Bardos, C.1
Titi, E.S.2
-
5
-
-
34250136481
-
Remarks on the breakdown of smooth solutions for the 3-D Euler equations
-
Beale, J. T.; Kato, T.; Majda, A. Remarks on the breakdown of smooth solutions for the 3-D Euler equations. Comm. Math. Phys. 94 (1984), no. 1, 61-66.
-
(1984)
Comm. Math. Phys.
, vol.94
, Issue.1
, pp. 61-66
-
-
Beale, J.T.1
Kato, T.2
Majda, A.3
-
6
-
-
0000510678
-
High order accurate vortex methods with explicit velocity kernels
-
Beale, J. T.; Majda, A. High order accurate vortex methods with explicit velocity kernels. J. Comput. Phys. 58 (1985), 188-208.
-
(1985)
J. Comput. Phys.
, vol.58
, pp. 188-208
-
-
Beale, J.T.1
Majda, A.2
-
8
-
-
0003112033
-
Helmholtz and Taylor instability
-
American Mathematical Society, Providence, R. I
-
Birkhoff, G. Helmholtz and Taylor instability. Proceedings of the Symposium on Applied Mathematics, vol. XIII, 55-76. American Mathematical Society, Providence, R.I., 1962.
-
(1962)
Proceedings of the Symposium on Applied Mathematics
, vol.13
, pp. 55-76
-
-
Birkhoff, G.1
-
9
-
-
0001747831
-
Singular solutions and ill-posedness for the evolution of vortex sheets
-
Caflisch, R. E.; Orellana, O. F. Singular solutions and ill-posedness for the evolution of vortex sheets. SIAM J. Math. Anal. 20 (1989), no. 2, 293-307.
-
(1989)
SIAM J. Math. Anal.
, vol.20
, Issue.2
, pp. 293-307
-
-
Caflisch, R.E.1
Orellana, O.F.2
-
10
-
-
28644438663
-
On the Clark-α model of turbulence: global regularity and long-time dynamics
-
(electronic)
-
Cao, C.; Holm, D. D.; Titi, E. S. On the Clark-α model of turbulence: global regularity and long-time dynamics. J. Turbul. 6 (2005), Paper 20, 11 pp. (electronic).
-
(2005)
J. Turbul.
, vol.6
, Issue.20
, pp. 11
-
-
Cao, C.1
Holm, D.D.2
Titi, E.S.3
-
11
-
-
40749110015
-
Global well-posedness of the three-dimensional viscous and inviscid simplified Bardina turbulence models
-
Cao, Y.; Lunasin, E.; Titi, E. S. Global well-posedness of the three-dimensional viscous and inviscid simplified Bardina turbulence models. Commun. Math. Sci. 4 (2006), no. 4, 823-848.
-
(2006)
Commun. Math. Sci.
, vol.4
, Issue.4
, pp. 823-848
-
-
Cao, Y.1
Lunasin, E.2
Titi, E.S.3
-
12
-
-
0004277187
-
-
Oxford Lecture Series in Mathematics and Its Applications, Clarendon, Oxford University Press, New York
-
Chemin, J.-Y. Perfect incompressible fluids. Oxford Lecture Series in Mathematics and Its Applications, 14. Clarendon, Oxford University Press, New York, 1998.
-
(1998)
Perfect incompressible fluids
, vol.14
-
-
Chemin, J.-Y.1
-
13
-
-
0001262719
-
Camassa-Holm equations as a closure model for turbulent channel and pipe flow
-
Chen, S.; Foias, C.; Holm, D. D.; Olson, E.; Titi, E. S.; Wynne, S. Camassa-Holm equations as a closure model for turbulent channel and pipe flow. Phys. Rev. Lett. 81 (1998), no. 24, 5338-5341.
-
(1998)
Phys. Rev. Lett.
, vol.81
, Issue.24
, pp. 5338-5341
-
-
Chen, S.1
Foias, C.2
Holm, D.D.3
Olson, E.4
Titi, E.S.5
Wynne, S.6
-
14
-
-
0039964945
-
The Camassa-Holm equations and turbulence
-
Chen, S.; Foias, C.; Holm, D. D.; Olson, E.; Titi, E. S.;Wynne, S. The Camassa-Holm equations and turbulence. Phys. D 133 (1999), no. 1-4, 49-65.
-
(1999)
Phys. D
, vol.133
, Issue.1-4
, pp. 49-65
-
-
Chen, S.1
Foias, C.2
Holm, D.D.3
Olson, E.4
Titi, E.S.5
Wynne, S.6
-
15
-
-
0032614269
-
A connection between the Camassa-Holm equations and turbulent flows in channels and pipes
-
Chen, S.; Foias, C.; Holm, D. D.; Olson, E.; Titi, E. S.; Wynne, S. A connection between the Camassa-Holm equations and turbulent flows in channels and pipes. Phys. Fluids 11 (1999), no. 8, 2343-2353.
-
(1999)
Phys. Fluids
, vol.11
, Issue.8
, pp. 2343-2353
-
-
Chen, S.1
Foias, C.2
Holm, D.D.3
Olson, E.4
Titi, E.S.5
Wynne, S.6
-
16
-
-
0041152039
-
Direct numerical simulations of the Navier-Stokes alpha model
-
Chen, S.; Holm, D. D.; Margolin, L. G.; Zhang, R. Direct numerical simulations of the Navier-Stokes alpha model. Phys. D 133 (1999), no. 1-4, 66-83.
-
(1999)
Phys. D
, vol.133
, Issue.1-4
, pp. 66-83
-
-
Chen, S.1
Holm, D.D.2
Margolin, L.G.3
Zhang, R.4
-
17
-
-
34247266067
-
On the convergence of solutions of the Leray-α model to the trajectory attractor of the 3D Navier-Stokes system
-
(electronic)
-
Chepyzhov, V. V.; Titi, E. S.; Vishik, M. I. On the convergence of solutions of the Leray-α model to the trajectory attractor of the 3D Navier-Stokes system. Discrete Contin. Dyn. Syst. 17 (2007), no. 3, 481-500 (electronic).
-
(2007)
Discrete Contin. Dyn. Syst.
, vol.17
, Issue.3
, pp. 481-500
-
-
Chepyzhov, V.V.1
Titi, E.S.2
Vishik, M.I.3
-
18
-
-
17144376124
-
On a Leray-α model of turbulence
-
Cheskidov, A.; Holm, D. D.; Olson, E.; Titi, E. S. On a Leray-α model of turbulence. Proc. R. Soc. Lond. Ser. A Math. Phys. Eng. Sci. 461 (2005), no. 2055, 629-649.
-
(2005)
Proc. R. Soc. Lond. Ser. A Math. Phys. Eng. Sci.
, vol.461
, Issue.2055
, pp. 629-649
-
-
Cheskidov, A.1
Holm, D.D.2
Olson, E.3
Titi, E.S.4
-
19
-
-
0000494213
-
Discretization of a vortex sheet, with an example of roll-up
-
Chorin, A. J.; Bernard, P. J. Discretization of a vortex sheet, with an example of roll-up. J. Comput. Phys. 13 (1973), 423-429.
-
(1973)
J. Comput. Phys.
, vol.13
, pp. 423-429
-
-
Chorin, A.J.1
Bernard, P.J.2
-
20
-
-
0018785459
-
Evaluation of subgrid-scale models using an accurately simulated turbulent flow
-
Clark, R. A.; Ferziger, J. H.; Reynolds, W. C. Evaluation of subgrid-scale models using an accurately simulated turbulent flow. J. Fluid Mech. 91 (1979), no. 1, 1-16.
-
(1979)
J. Fluid Mech.
, vol.91
, Issue.1
, pp. 1-16
-
-
Clark, R.A.1
Ferziger, J.H.2
Reynolds, W.C.3
-
21
-
-
0035529586
-
An Eulerian-Lagrangian approach to the Navier-Stokes equations
-
Constantin, P. An Eulerian-Lagrangian approach to the Navier-Stokes equations. Comm. Math. Phys. 216 (2001), no. 3, 663-686.
-
(2001)
Comm. Math. Phys.
, vol.216
, Issue.3
, pp. 663-686
-
-
Constantin, P.1
-
23
-
-
0032668333
-
On the formation of Moore curvature singularities in vortex sheets
-
Cowley, S. J.; Baker, G. R.; Tanveer, S. On the formation of Moore curvature singularities in vortex sheets. J. Fluid Mech. 378 (2000), 233-267.
-
(2000)
J. Fluid Mech.
, vol.378
, pp. 233-267
-
-
Cowley, S.J.1
Baker, G.R.2
Tanveer, S.3
-
24
-
-
77952511612
-
On admissibility criteria for weak solutions of the Euler equations
-
to appear. arXiv: 0712. 3288v2
-
De Lellis, C.; Székelyhidi, L., Jr. On admissibility criteria for weak solutions of the Euler equations. Arch. Ration. Mech. Anal., to appear. arXiv: 0712.3288v2, 2007.
-
(2007)
Arch. Ration. Mech. Anal.
-
-
De Lellis, C.1
Székelyhidi L., Jr.2
-
25
-
-
84968509708
-
Existence de nappes de tourbillon en dimension deux
-
Delort, J.-M. Existence de nappes de tourbillon en dimension deux. J. Amer. Math. Soc. 4 (1991), no. 3, 553-586.
-
(1991)
J. Amer. Math. Soc.
, vol.4
, Issue.3
, pp. 553-586
-
-
Delort, J.-M.1
-
26
-
-
84990602493
-
Concentrations in regularizations for 2-D incompressible flow
-
DiPerna, R. J.; Majda, A. J. Concentrations in regularizations for 2-D incompressible flow. Comm. Pure Appl. Math. 40 (1987), no. 3, 301-345.
-
(1987)
Comm. Pure Appl. Math.
, vol.40
, Issue.3
, pp. 301-345
-
-
DiPerna, R.J.1
Majda, A.J.2
-
27
-
-
0000863080
-
Oscillations and concentrations in weak solutions of the incompressible fluid equations
-
DiPerna, R. J.; Majda, A. J. Oscillations and concentrations in weak solutions of the incompressible fluid equations. Comm. Math. Phys. 108 (1987), no. 4, 667-689.
-
(1987)
Comm. Math. Phys.
, vol.108
, Issue.4
, pp. 667-689
-
-
DiPerna, R.J.1
Majda, A.J.2
-
28
-
-
84966225077
-
Reduced Hausdorff dimension and concentration-cancellation for two-dimensional incompressible flow
-
DiPerna, R. J.; Majda, A. J. Reduced Hausdorff dimension and concentration-cancellation for two-dimensional incompressible flow. J. Amer. Math. Soc. 1 (1988), no. 1, 59-95.
-
(1988)
J. Amer. Math. Soc.
, vol.1
, Issue.1
, pp. 59-95
-
-
DiPerna, R.J.1
Majda, A.J.2
-
29
-
-
0013229088
-
Global vortex sheet solutions of Euler equations in the plane
-
Duchon, J.; Robert, R. Global vortex sheet solutions of Euler equations in the plane. J. Differential Equations 73 (1988), no. 2, 215-224.
-
(1988)
J. Differential Equations
, vol.73
, Issue.2
, pp. 215-224
-
-
Duchon, J.1
Robert, R.2
-
30
-
-
84968518816
-
Hardy spaces and the two-dimensional Euler equations with nonnegative vorticity
-
Evans, L. C.; Muller, S. Hardy spaces and the two-dimensional Euler equations with nonnegative vorticity. J. Amer. Math. Soc. 7 (1994), no. 1, 199-219.
-
(1994)
J. Amer. Math. Soc.
, vol.7
, Issue.1
, pp. 199-219
-
-
Evans, L.C.1
Muller, S.2
-
31
-
-
0035873331
-
The Navier-Stokes-alpha model of fluid turbulence
-
Foias, C.; Holm, D. D.; Titi, E. S. The Navier-Stokes-alpha model of fluid turbulence. Phys. D 152/153 (2001), 505-519.
-
(2001)
Phys
, vol.152-153
, pp. 505-519
-
-
Foias, C.1
Holm, D.D.2
Titi, E.S.3
-
32
-
-
36749037534
-
The three dimensional viscous Camassa-Holm equations, and their relation to the Navier-Stokes equations and turbulence theory
-
Foias, C.; Holm, D. D.; Titi, E. S. The three dimensional viscous Camassa-Holm equations, and their relation to the Navier-Stokes equations and turbulence theory. J. Dynam. Differential Equations 14 (2002), no. 1, 1-35.
-
(2002)
J. Dynam. Differential Equations
, vol.14
, Issue.1
, pp. 1-35
-
-
Foias, C.1
Holm, D.D.2
Titi, E.S.3
-
34
-
-
0037279812
-
Regularization modeling for large-eddy simulation
-
Geurts, B. J.; Holm, D. D. Regularization modeling for large-eddy simulation. Phys. Fluids 15 (2003), no. 1, L13-L16.
-
(2003)
Phys. Fluids
, vol.15
, Issue.1
-
-
Geurts, B.J.1
Holm, D.D.2
-
35
-
-
32044449589
-
Leray and LANS-α modelling of turbulent mixing
-
(electronic)
-
Geurts, B. J.; Holm, D. D. Leray and LANS-α modelling of turbulent mixing. J. Turbul. 7 (2006), Paper 10, 33 pp. (electronic).
-
(2006)
J. Turbul.
, vol.7
, Issue.10
, pp. 33
-
-
Geurts, B.J.1
Holm, D.D.2
-
36
-
-
52349093316
-
Regularization modeling for large-eddy simulation of homogeneous isotropic decaying turbulence
-
344008
-
Geurts, B.; Kuczaj, A.; Titi, E. S. Regularization modeling for large-eddy simulation of homogeneous isotropic decaying turbulence. J. Phys. A 41 (2008), no. 34, 344008, 29 pp.
-
(2008)
J. Phys. A
, vol.41
, Issue.34
, pp. 29
-
-
Geurts, B.1
Kuczaj, A.2
Titi, E.S.3
-
37
-
-
0037169458
-
Variational principles for Lagrangian-averaged fluid dynamics
-
Holm, D. D. Variational principles for Lagrangian-averaged fluid dynamics. J. Phys. A 35 (2002), no. 3, 679-688.
-
(2002)
J. Phys. A
, vol.35
, Issue.3
, pp. 679-688
-
-
Holm, D.D.1
-
38
-
-
0001971504
-
The Euler-Poincaré equations and semidirect products with applications to continuum theories
-
Holm, D. D.; Marsden, J. E.; Ratiu, T. S. The Euler-Poincaré equations and semidirect products with applications to continuum theories. Adv. Math. 137 (1998), no. 1, 1-81.
-
(1998)
Adv. Math.
, vol.137
, Issue.1
, pp. 1-81
-
-
Holm, D.D.1
Marsden, J.E.2
Ratiu, T.S.3
-
39
-
-
11744318899
-
Euler-Poincaré models of ideal fluids with nonlinear dispersion
-
Holm, D. D.; Marsden, J. E.; Ratiu, T. S. Euler-Poincaré models of ideal fluids with nonlinear dispersion. Phys. Rev. Lett. 80 (1998), no. 19, 4173-4176.
-
(1998)
Phys. Rev. Lett.
, vol.80
, Issue.19
, pp. 4173-4176
-
-
Holm, D.D.1
Marsden, J.E.2
Ratiu, T.S.3
-
40
-
-
0442281584
-
Modeling mesoscale turbulence in the barotropic double-gyre circulation
-
Holm, D. D.; Nadiga, B. T. Modeling mesoscale turbulence in the barotropic double-gyre circulation. J. Phys. Oceanogr. 33 (2003), no. 11, 2355-2365.
-
(2003)
J. Phys. Oceanogr
, vol.33
, Issue.11
, pp. 2355-2365
-
-
Holm, D.D.1
Nadiga, B.T.2
-
41
-
-
33749452018
-
Euler-alpha and vortex blob regularization of vortex filament and vortex sheet motion
-
Holm, D. D.; Nitsche, M.; Putkaradze, V. Euler-alpha and vortex blob regularization of vortex filament and vortex sheet motion. J. Fluid Mech. 555 (2006), 149-176.
-
(2006)
J. Fluid Mech.
, vol.555
, pp. 149-176
-
-
Holm, D.D.1
Nitsche, M.2
Putkaradze, V.3
-
42
-
-
33746706692
-
Computational models of turbulence: the LANS-alpha model and the role of global analysis
-
Available online at
-
Holm, D. D.; Titi, E. S. Computational models of turbulence: the LANS-alpha model and the role of global analysis. SIAM News 38 (2005), no. 7, 5 pp. Available online at: http://www.siam.org/news/news.php?id=154.
-
(2005)
SIAM News
, vol.38
, Issue.7
, pp. 5
-
-
Holm, D.D.1
Titi, E.S.2
-
43
-
-
33645065343
-
A Modified-Leray-α subgrid scale model of turbulence
-
Ilyin, A. A.; Lunasin, E.; Titi, E. S. A Modified-Leray-α subgrid scale model of turbulence. Nonlinearity 19 (2006), no. 4, 879-897.
-
(2006)
Nonlinearity
, vol.19
, Issue.4
, pp. 879-897
-
-
Ilyin, A.A.1
Lunasin, E.2
Titi, E.S.3
-
44
-
-
52349110039
-
An inviscid regularization for the surface quasi-geostrophic equation
-
Khouider, B.; Titi, E. S. An inviscid regularization for the surface quasi-geostrophic equation. Comm. Pure Appl. Math. 61 (2008), no. 10, 1331-1346.
-
(2008)
Comm. Pure Appl. Math.
, vol.61
, Issue.10
, pp. 1331-1346
-
-
Khouider, B.1
Titi, E.S.2
-
45
-
-
36048971185
-
Desingularization of periodic vortex sheet roll-up
-
Krasny, R. Desingularization of periodic vortex sheet roll-up. J. Comput. Phys. 65 (1986), no. 2, 292-313.
-
(1986)
J. Comput. Phys.
, vol.65
, Issue.2
, pp. 292-313
-
-
Krasny, R.1
-
46
-
-
0022735928
-
A study of singularity formation in a vortex sheet by the point-vortex approximation
-
Krasny, R. A study of singularity formation in a vortex sheet by the point-vortex approximation. J. Fluid Mech. 167 (1986), 65-93.
-
(1986)
J. Fluid Mech.
, vol.167
, pp. 65-93
-
-
Krasny, R.1
-
47
-
-
0023451072
-
Computation of vortex sheet roll-up in the Trefftz plane
-
Krasny, R. Computation of vortex sheet roll-up in the Trefftz plane. J. Fluid Mech. 184 (1987), 123-155.
-
(1987)
J. Fluid Mech.
, vol.184
, pp. 123-155
-
-
Krasny, R.1
-
48
-
-
0242442631
-
A simple and stable scale-similarity model for large eddy simulation: energy balance and existence of weak solutions
-
Layton, W.; Lewandowski, R. A simple and stable scale-similarity model for large eddy simulation: energy balance and existence of weak solutions. Appl. Math. Lett. 16 (2003), no. 8, 1205-1209.
-
(2003)
Appl. Math. Lett.
, vol.16
, Issue.8
, pp. 1205-1209
-
-
Layton, W.1
Lewandowski, R.2
-
50
-
-
17044425556
-
Régularité du problème de Kelvin-Helmholtz pour l'équation d'Euler 2d
-
(electronic)
-
Lebeau, G. Régularité du problème de Kelvin-Helmholtz pour l'équation d'Euler 2d. ESAIM Control Optim. Calc. Var. 8 (2002), 801-825 (electronic).
-
(2002)
ESAIM Control Optim. Calc. Var.
, vol.8
, pp. 801-825
-
-
Lebeau, G.1
-
51
-
-
33748524860
-
Vorticities in a LES model for 3D periodic turbulent flows
-
Lewandowski, R. Vorticities in a LES model for 3D periodic turbulent flows. J. Math. Fluid Mech. 8 (2006), no. 3, 398-422.
-
(2006)
J. Math. Fluid Mech.
, vol.8
, Issue.3
, pp. 398-422
-
-
Lewandowski, R.1
-
52
-
-
34250674362
-
Analytical study of certain magnetohydrodynamic-alpha models
-
065504
-
Linshiz, J. S.; Titi, E. S. Analytical study of certain magnetohydrodynamic-alpha models. J. Math. Phys. 48 (2007), no. 6, 065504, 28 pp.
-
(2007)
J. Math. Phys.
, vol.48
, Issue.6
, pp. 28
-
-
Linshiz, J.S.1
Titi, E.S.2
-
53
-
-
84990655570
-
Convergence of vortex methods for weak solutions to the 2D Euler equations with vortex sheet data
-
Liu, J. G.; Xin, Z. Convergence of vortex methods for weak solutions to the 2D Euler equations with vortex sheet data. Comm. Pure Appl. Math. 48 (1995), no. 6, 611-628.
-
(1995)
Comm. Pure Appl. Math.
, vol.48
, Issue.6
, pp. 611-628
-
-
Liu, J.G.1
Xin, Z.2
-
54
-
-
0035531378
-
Convergence of the point vortex method for 2-D vortex sheet
-
(electronic)
-
Liu, J. G.; Xin, Z. P. Convergence of the point vortex method for 2-D vortex sheet. Math. Comp. 70 (2001), no. 234, 595-606 (electronic).
-
(2001)
Math. Comp.
, vol.70
, Issue.234
, pp. 595-606
-
-
Liu, J.G.1
Xin, Z.P.2
-
55
-
-
33745318679
-
Numerical evidence of nonuniqueness in the evolution of vortex sheets
-
Lopes Filho, M. C.; Lowengrub, J.; Nussenzveig Lopes, H. J.; Zheng, Y. Numerical evidence of nonuniqueness in the evolution of vortex sheets. M2AN Math. Model. Numer. Anal. 40 (2006), no. 2, 225-237.
-
(2006)
M2AN Math. Model. Numer. Anal.
, vol.40
, Issue.2
, pp. 225-237
-
-
Lopes Filho, M.C.1
Lowengrub, J.2
Nussenzveig Lopes, H.J.3
Zheng, Y.4
-
56
-
-
47049087667
-
A criterion for the equivalence of the Birkhoff-Rott and Euler descriptions of vortex sheet evolution
-
(electronic)
-
Lopes Filho, M. C.; Nussenzveig Lopes, H. J.; Schochet, S. A criterion for the equivalence of the Birkhoff-Rott and Euler descriptions of vortex sheet evolution. Trans. Amer. Math. Soc. 359 (2007), no. 9, 4125-4142 (electronic).
-
(2007)
Trans. Amer. Math. Soc.
, vol.359
, Issue.9
, pp. 4125-4142
-
-
Lopes Filho, M.C.1
Nussenzveig Lopes, H.J.2
Schochet, S.3
-
57
-
-
0040438755
-
Existence of vortex sheets with reflection symmetry in two space dimensions
-
Lopes Filho, M. C.; Nussenzveig Lopes, H. J.; Xin, Z. Existence of vortex sheets with reflection symmetry in two space dimensions. Arch. Ration. Mech. Anal. 158 (2001), no. 3, 235-257.
-
(2001)
Arch. Ration. Mech. Anal.
, vol.158
, Issue.3
, pp. 235-257
-
-
Lopes Filho, M.C.1
Nussenzveig Lopes, H.J.2
Xin, Z.3
-
58
-
-
0001496981
-
Remarks on weak solutions for vortex sheets with a distinguished sign
-
Majda, A. Remarks on weak solutions for vortex sheets with a distinguished sign. Indiana Univ. Math. J. 42 (1993), no. 3, 921-939.
-
(1993)
Indiana Univ. Math. J.
, vol.42
, Issue.3
, pp. 921-939
-
-
Majda, A.1
-
59
-
-
0004259252
-
-
Cambridge Texts in Applied Mathematics, Cambridge University Press, Cambridge
-
Majda, A. J.; Bertozzi, A. L. Vorticity and incompressible flow. Cambridge Texts in Applied Mathematics, 27. Cambridge University Press, Cambridge, 2002.
-
(2002)
Vorticity and incompressible flow
, vol.27
-
-
Majda, A.J.1
Bertozzi, A.L.2
-
60
-
-
0003394598
-
-
Applied Mathematical Sciences, Springer, New York
-
Marchioro, C.; Pulvirenti, M. Mathematical theory of incompressible nonviscous fluids. Applied Mathematical Sciences, 96. Springer, New York, 1994.
-
(1994)
Mathematical theory of incompressible nonviscous fluids
, vol.96
-
-
Marchioro, C.1
Pulvirenti, M.2
-
61
-
-
0037243629
-
The anisotropic Lagrangian averaged Euler and Navier-Stokes equations
-
Marsden, J. E.; Shkoller, S. The anisotropic Lagrangian averaged Euler and Navier-Stokes equations. Arch. Ration. Mech. Anal. 166 (2003), no. 1, 27-46.
-
(2003)
Arch. Ration. Mech. Anal.
, vol.166
, Issue.1
, pp. 27-46
-
-
Marsden, J.E.1
Shkoller, S.2
-
62
-
-
0019933212
-
Analytic structure of vortex sheet dynamics. I. Kelvin-Helmholtz instability
-
Meiron, D. I.; Baker, G. R.; Orszag, S. A. Analytic structure of vortex sheet dynamics. I. Kelvin-Helmholtz instability. J. Fluid Mech. 114 (1982), 283-298.
-
(1982)
J. Fluid Mech.
, vol.114
, pp. 283-298
-
-
Meiron, D.I.1
Baker, G.R.2
Orszag, S.A.3
-
63
-
-
0037331178
-
Numerical simulations of the Lagrangian averaged Navier-Stokes equations for homogeneous isotropic turbulence
-
Mohseni, K.; Kosović, B.; Shkoller, S.; Marsden, J. E. Numerical simulations of the Lagrangian averaged Navier-Stokes equations for homogeneous isotropic turbulence. Phys. Fluids 15 (2003), no. 2, 524-544.
-
(2003)
Phys. Fluids
, vol.15
, Issue.2
, pp. 524-544
-
-
Mohseni, K.1
Kosović, B.2
Shkoller, S.3
Marsden, J.E.4
-
64
-
-
0013731938
-
The spontaneous appearance of a singularity in the shape of an evolving vortex sheet
-
Moore, D. W. The spontaneous appearance of a singularity in the shape of an evolving vortex sheet. Proc. Roy. Soc. London Ser. A 365 (1979), no. 1720, 105-119.
-
(1979)
Proc. Roy. Soc. London Ser. A
, vol.365
, Issue.1720
, pp. 105-119
-
-
Moore, D.W.1
-
65
-
-
0009798843
-
The vortex blob method as a second-grade non-Newtonian fluid
-
Oliver, M.; Shkoller, S. The vortex blob method as a second-grade non-Newtonian fluid. Comm. Partial Differential Equations 26 (2001), no. 1-2, 295-314.
-
(2001)
Comm. Partial Differential Equations
, vol.26
, Issue.1-2
, pp. 295-314
-
-
Oliver, M.1
Shkoller, S.2
-
66
-
-
33745305923
-
On similarity flows containing two-branched vortex sheets
-
97-106. SIAM, Philadelphia, Pa
-
Pullin, D. I. On similarity flows containing two-branched vortex sheets. Mathematical aspects of vortex dynamics (Leesburg, VA, 1988), 97-106. SIAM, Philadelphia, Pa., 1989.
-
(1989)
Mathematical aspects of vortex dynamics (Leesburg, VA, 1988)
-
-
Pullin, D.I.1
-
67
-
-
84974142394
-
Diffraction of a weak shock with vortex generation
-
Rott, N. Diffraction of a weak shock with vortex generation. J. Fluid Mech. 1 (1956), 111-128.
-
(1956)
J. Fluid Mech.
, vol.1
, pp. 111-128
-
-
Rott, N.1
-
68
-
-
85041150744
-
-
Cambridge Monographs on Mechanics and Applied Mathematics. Cambridge University Press, New York
-
Saffman, P. G. Vortex dynamics. Cambridge Monographs on Mechanics and Applied Mathematics. Cambridge University Press, New York, 1992.
-
(1992)
Vortex dynamics
-
-
Saffman, P.G.1
-
70
-
-
0001768220
-
An inviscid flow with compact support in space-time
-
Scheffer, V. An inviscid flow with compact support in space-time. J. Geom. Anal. 3 (1993), no. 4, 343-401.
-
(1993)
J. Geom. Anal.
, vol.3
, Issue.4
, pp. 343-401
-
-
Scheffer, V.1
-
71
-
-
0001257746
-
The weak vorticity formulation of the 2D Euler equations and concentrationcancellation
-
Schochet, S. The weak vorticity formulation of the 2D Euler equations and concentrationcancellation. Comm. Partial Differential Equations 20 (1995), no. 5-6, 1077-1104.
-
(1995)
Comm. Partial Differential Equations
, vol.20
, Issue.5-6
, pp. 1077-1104
-
-
Schochet, S.1
-
72
-
-
0030520674
-
The point-vortex method for periodic weak solutions of the 2-D Euler equations
-
Schochet, S. The point-vortex method for periodic weak solutions of the 2-D Euler equations. Comm. Pure Appl. Math. 49 (1996), no. 9, 911-965.
-
(1996)
Comm. Pure Appl. Math.
, vol.49
, Issue.9
, pp. 911-965
-
-
Schochet, S.1
-
73
-
-
0031491102
-
On the nonuniqueness of weak solution of the Euler equation
-
Shnirelman, A. On the nonuniqueness of weak solution of the Euler equation. Comm. Pure Appl. Math. 50 (1997), no. 12, 1261-1286.
-
(1997)
Comm. Pure Appl. Math.
, vol.50
, Issue.12
, pp. 1261-1286
-
-
Shnirelman, A.1
-
74
-
-
0038247451
-
Finite time analyticity for the two-and threedimensional Kelvin-Helmholtz instability
-
Sulem, C.; Sulem, P.-L.; Bardos, C.; Frisch, U. Finite time analyticity for the two-and threedimensional Kelvin-Helmholtz instability. Comm. Math. Phys. 80 (1981), no. 4, 485-516.
-
(1981)
Comm. Math. Phys.
, vol.80
, Issue.4
, pp. 485-516
-
-
Sulem, C.1
Sulem, P.-L.2
Bardos, C.3
Frisch, U.4
-
75
-
-
3042854548
-
p estimate for 2-D vorticity equation and its application to Euler equations with initial vorticity in bmo
-
p estimate for 2-D vorticity equation and its application to Euler equations with initial vorticity in bmo. Comm. Math. Phys. 248 (2004), no. 1, 169-186.
-
(2004)
Comm. Math. Phys.
, vol.248
, Issue.1
, pp. 169-186
-
-
Taniuchi, Y.1
-
76
-
-
0033472885
-
Incompressible flows of an ideal fluid with vorticity in borderline spaces of Besov type
-
Vishik, M. Incompressible flows of an ideal fluid with vorticity in borderline spaces of Besov type. Ann. Sci. École Norm. Sup. (4) 32 (1999), no. 6, 769-812.
-
(1999)
Ann. Sci. École Norm. Sup. (4)
, vol.32
, Issue.6
, pp. 769-812
-
-
Vishik, M.1
-
77
-
-
26844491039
-
Trajectory attractor approximations of the 3D Navier-Stokes system by a Leray-α model
-
translation in Dokl. Math. 71 (2005), 92-95.
-
Vishik, M. I.; Titi, E. S.; Chepyzhov, V. V. Trajectory attractor approximations of the 3D Navier-Stokes system by a Leray-α model. Dokl. Akad. Nauk 400 (2005), no. 5, 583-586; translation in Dokl. Math. 71 (2005), 92-95.
-
(2005)
Dokl. Akad. Nauk
, vol.400
, Issue.5
, pp. 583-586
-
-
Vishik, M.I.1
Titi, E.S.2
Chepyzhov, V.V.3
-
78
-
-
77952497536
-
-
Reprint of the 2nd (1944) ed. Cambridge Mathematical Library. Cambridge University Press, Cambridge
-
Watson, G. N. A treatise on the theory of Bessel functions. Reprint of the 2nd (1944) ed. Cambridge Mathematical Library. Cambridge University Press, Cambridge, 1995.
-
(1995)
A treatise on the theory of Bessel functions
-
-
Watson, G.N.1
-
79
-
-
17044375750
-
Recent progress in mathematical analysis of vortex sheets
-
(Beijing), Higher Education Press, Beijing
-
Wu, S. Recent progress in mathematical analysis of vortex sheets. Proceedings of the International Congress of Mathematicians, Vol. III (Beijing, 2002), 233-242. Higher Education Press, Beijing, 2002.
-
(2002)
Proceedings of the International Congress of Mathematicians
, vol.3
, pp. 233-242
-
-
Wu, S.1
-
80
-
-
33745626744
-
Mathematical analysis of vortex sheets
-
Wu, S. Mathematical analysis of vortex sheets. Comm. Pure Appl. Math. 59 (2006), no. 8, 1065-1206.
-
(2006)
Comm. Pure Appl. Math.
, vol.59
, Issue.8
, pp. 1065-1206
-
-
Wu, S.1
-
81
-
-
0001751564
-
Non-stationary flow of an ideal incompressible liquid
-
translation in Comput. Math. Math. Phys. 3 (1963), 1407-1456.
-
Yudovich, V. I. Non-stationary flow of an ideal incompressible liquid. Zh. Vychisl. Mat. Mat. Fiz. 3 (1963), no. 6, 1032-1066; translation in Comput. Math. Math. Phys. 3 (1963), 1407-1456.
-
(1963)
Zh. Vychisl. Mat. Mat. Fiz.
, vol.3
, Issue.6
, pp. 1032-1066
-
-
Yudovich, V.I.1
|