-
1
-
-
11144347959
-
Upper and lower bounds of temporal and spatial decays for the Navier-Stokes equations
-
Bae H.-O., Jin B.J. Upper and lower bounds of temporal and spatial decays for the Navier-Stokes equations. J. Differential Equations 2005, 209:365-391.
-
(2005)
J. Differential Equations
, vol.209
, pp. 365-391
-
-
Bae, H.-O.1
Jin, B.J.2
-
2
-
-
0001088288
-
Algebraic L2 decay for Navier-Stokes flows in exterior domains
-
Borchers W., Miyakawa T. Algebraic L2 decay for Navier-Stokes flows in exterior domains. Acta Math. 1990, 165:189-227.
-
(1990)
Acta Math.
, vol.165
, pp. 189-227
-
-
Borchers, W.1
Miyakawa, T.2
-
3
-
-
0031322648
-
A generalization of a theorem by Kato on Navier-Stokes equations
-
Cannone M. A generalization of a theorem by Kato on Navier-Stokes equations. Rev. Mat. Iberoam. 1997, 13:515-541.
-
(1997)
Rev. Mat. Iberoam.
, vol.13
, pp. 515-541
-
-
Cannone, M.1
-
5
-
-
0016103247
-
Vibrations of an infinite viscoelastic layer with a dissipative memory
-
Caputo M. Vibrations of an infinite viscoelastic layer with a dissipative memory. J. Acoust. Soc. Amer. 1974, 56:897-904.
-
(1974)
J. Acoust. Soc. Amer.
, vol.56
, pp. 897-904
-
-
Caputo, M.1
-
6
-
-
0030526462
-
Large-time behavior in incompressible Navier-Stokes equations
-
Carpio A. Large-time behavior in incompressible Navier-Stokes equations. SIAM J. Math. Anal. 1996, 27:449-475.
-
(1996)
SIAM J. Math. Anal.
, vol.27
, pp. 449-475
-
-
Carpio, A.1
-
8
-
-
85027957125
-
Existence of mild solutions for fractional evolution equations with mixed monotone nonlocal conditions
-
Chen P., Li Y. Existence of mild solutions for fractional evolution equations with mixed monotone nonlocal conditions. Z. Angew. Math. Phys. 2014, 65:711-728.
-
(2014)
Z. Angew. Math. Phys.
, vol.65
, pp. 711-728
-
-
Chen, P.1
Li, Y.2
-
9
-
-
85088197778
-
Semilinear fractional differential equations: global solutions, critical nonlinearities and comparison results
-
in press
-
De Andrade B., Carvalho A.N., Carvalho-Neto P.M., Marín-Rubio P. Semilinear fractional differential equations: global solutions, critical nonlinearities and comparison results. Topol. Methods Nonlinear Anal. 2014, in press.
-
(2014)
Topol. Methods Nonlinear Anal.
-
-
De Andrade, B.1
Carvalho, A.N.2
Carvalho-Neto, P.M.3
Marín-Rubio, P.4
-
10
-
-
80053927109
-
Visco-elastic behavior through fractional calculus: an easier method for best fitting experimental results
-
Di Paola M., Pirrotta A., Valenza A. Visco-elastic behavior through fractional calculus: an easier method for best fitting experimental results. Mech. Mater. 2011, 43:799-806.
-
(2011)
Mech. Mater.
, vol.43
, pp. 799-806
-
-
Di Paola, M.1
Pirrotta, A.2
Valenza, A.3
-
11
-
-
1942542248
-
Cauchy problems for fractional diffusion equations
-
Eidelman S.D., Kochubei A.N. Cauchy problems for fractional diffusion equations. J. Differential Equations 2004, 199:211-255.
-
(2004)
J. Differential Equations
, vol.199
, pp. 211-255
-
-
Eidelman, S.D.1
Kochubei, A.N.2
-
12
-
-
3843125240
-
On the generalized Navier-Stokes equations
-
El-Shahed M., Salem A. On the generalized Navier-Stokes equations. Appl. Math. Comput. 2004, 156:287-293.
-
(2004)
Appl. Math. Comput.
, vol.156
, pp. 287-293
-
-
El-Shahed, M.1
Salem, A.2
-
13
-
-
0030127310
-
On fractional calculus and fractional multipoles in electromagnetism
-
Engheta N. On fractional calculus and fractional multipoles in electromagnetism. IEEE Trans. Antennas and Propagation 1996, 44:554-566.
-
(1996)
IEEE Trans. Antennas and Propagation
, vol.44
, pp. 554-566
-
-
Engheta, N.1
-
14
-
-
41849111100
-
Existence and smoothness of the Navier-Stokes equation
-
Clay Math. Inst., Cambridge, MA
-
Fefferman C.L. Existence and smoothness of the Navier-Stokes equation. The Millennium Prize Problems 2006, 57-67. Clay Math. Inst., Cambridge, MA.
-
(2006)
The Millennium Prize Problems
, pp. 57-67
-
-
Fefferman, C.L.1
-
16
-
-
73449083810
-
Analytical solution of time-fractional Navier-Stokes equation in polar coordinate by homotopy perturbation method
-
Ganji Z.Z., Ganji D.D., Ganji A.D., Rostamian M. Analytical solution of time-fractional Navier-Stokes equation in polar coordinate by homotopy perturbation method. Numer. Methods Partial Differential Equations 2010, 26:117-124.
-
(2010)
Numer. Methods Partial Differential Equations
, vol.26
, pp. 117-124
-
-
Ganji, Z.Z.1
Ganji, D.D.2
Ganji, A.D.3
Rostamian, M.4
-
17
-
-
79953689576
-
Well posedness of a linearized fractional derivative fluid model
-
Heibig A., Palade L.I. Well posedness of a linearized fractional derivative fluid model. J. Math. Anal. Appl. 2011, 380:188-203.
-
(2011)
J. Math. Anal. Appl.
, vol.380
, pp. 188-203
-
-
Heibig, A.1
Palade, L.I.2
-
18
-
-
0000911759
-
Strong Lp-solutions of the Navier-Stokes equation in Rm, with applications to weak solution
-
Kato T. Strong Lp-solutions of the Navier-Stokes equation in Rm, with applications to weak solution. Math. Z. 1984, 187:471-480.
-
(1984)
Math. Z.
, vol.187
, pp. 471-480
-
-
Kato, T.1
-
19
-
-
72449153908
-
Analytical study of Navier-Stokes equation with fractional orders using He's homotopy perturbation and variational iteration methods
-
Khan N.A., Ara A., Ali S.A., Mahmood A. Analytical study of Navier-Stokes equation with fractional orders using He's homotopy perturbation and variational iteration methods. Int. J. Nonlinear Sci. Numer. 2011, 10:1127-1134.
-
(2011)
Int. J. Nonlinear Sci. Numer.
, vol.10
, pp. 1127-1134
-
-
Khan, N.A.1
Ara, A.2
Ali, S.A.3
Mahmood, A.4
-
21
-
-
84903765327
-
On a nonclassical fractional boundary-value problem for the Laplace operator
-
Krasnoschok M., Vasylyeva N. On a nonclassical fractional boundary-value problem for the Laplace operator. J. Differential Equations 2014, 257:1814-1839.
-
(2014)
J. Differential Equations
, vol.257
, pp. 1814-1839
-
-
Krasnoschok, M.1
Vasylyeva, N.2
-
22
-
-
84862828893
-
Approximate controllability of fractional order semilinear systems with bounded delay
-
Kumar S., Sukavanam N. Approximate controllability of fractional order semilinear systems with bounded delay. J. Differential Equations 2012, 252:6163-6174.
-
(2012)
J. Differential Equations
, vol.252
, pp. 6163-6174
-
-
Kumar, S.1
Sukavanam, N.2
-
23
-
-
51249193194
-
Sur le mouvement d'un liquide visqueux emplissant l'espace
-
Leray J. Sur le mouvement d'un liquide visqueux emplissant l'espace. Acta Math. 1934, 63:193-248.
-
(1934)
Acta Math.
, vol.63
, pp. 193-248
-
-
Leray, J.1
-
24
-
-
84861344017
-
Cauchy problems for fractional differential equations with Riemann-Liouville fractional derivatives
-
Li K., Peng J., Jia J. Cauchy problems for fractional differential equations with Riemann-Liouville fractional derivatives. J. Funct. Anal. 2012, 263:476-510.
-
(2012)
J. Funct. Anal.
, vol.263
, pp. 476-510
-
-
Li, K.1
Peng, J.2
Jia, J.3
-
25
-
-
0000298073
-
Sharp constants in the Hardy-Littlewood-Sobolev and related inequalities
-
Lieb E.J. Sharp constants in the Hardy-Littlewood-Sobolev and related inequalities. Ann. Math. 1983, 118:349-374.
-
(1983)
Ann. Math.
, vol.118
, pp. 349-374
-
-
Lieb, E.J.1
-
28
-
-
0001869174
-
On the initial value problem for the fractional diffusion-wave equation
-
Mainardi F. On the initial value problem for the fractional diffusion-wave equation. Ser. Adv. Math. Appl. Sci. 1994, 23:246-251.
-
(1994)
Ser. Adv. Math. Appl. Sci.
, vol.23
, pp. 246-251
-
-
Mainardi, F.1
-
29
-
-
33744981446
-
Analytical solution of a time-fractional Navier-Stokes equation by Adomian decomposition method
-
Momani S., Odibat Z. Analytical solution of a time-fractional Navier-Stokes equation by Adomian decomposition method. Appl. Math. Comput. 2006, 177:488-494.
-
(2006)
Appl. Math. Comput.
, vol.177
, pp. 488-494
-
-
Momani, S.1
Odibat, Z.2
-
30
-
-
78650500069
-
Analytical spherically symmetric solution for the time-fractional Navier-Stokes equation
-
Odibat Z.M., Momani S. Analytical spherically symmetric solution for the time-fractional Navier-Stokes equation. Adv. Theor. Appl. Math. 2006, 1:97-107.
-
(2006)
Adv. Theor. Appl. Math.
, vol.1
, pp. 97-107
-
-
Odibat, Z.M.1
Momani, S.2
-
31
-
-
80052182566
-
A novel characteristic of solution operator for the fractional abstract Cauchy problem
-
Peng J., Li K. A novel characteristic of solution operator for the fractional abstract Cauchy problem. J. Math. Anal. Appl. 2012, 385:786-796.
-
(2012)
J. Math. Anal. Appl.
, vol.385
, pp. 786-796
-
-
Peng, J.1
Li, K.2
-
32
-
-
84883049803
-
Hölder continuous solutions for fractional differential equations and maximal regularity
-
Ponce R. Hölder continuous solutions for fractional differential equations and maximal regularity. J. Differential Equations 2013, 255:3284-3304.
-
(2013)
J. Differential Equations
, vol.255
, pp. 3284-3304
-
-
Ponce, R.1
-
33
-
-
0021859089
-
L2 decay for weak solutions of the Navier-Stokes equations
-
Schonbek M.E. L2 decay for weak solutions of the Navier-Stokes equations. Arch. Ration. Mech. Anal. 1985, 88:209-222.
-
(1985)
Arch. Ration. Mech. Anal.
, vol.88
, pp. 209-222
-
-
Schonbek, M.E.1
-
34
-
-
6544252065
-
Fractional derivatives of solutions of the Navier-Stokes equations
-
Shinbrot M. Fractional derivatives of solutions of the Navier-Stokes equations. Arch. Ration. Mech. Anal. 1971, 40:139-154.
-
(1971)
Arch. Ration. Mech. Anal.
, vol.40
, pp. 139-154
-
-
Shinbrot, M.1
-
35
-
-
84858291446
-
On fractional Duhamel's principle and its applications
-
Umarov S. On fractional Duhamel's principle and its applications. J. Differential Equations 2012, 252:5217-5234.
-
(2012)
J. Differential Equations
, vol.252
, pp. 5217-5234
-
-
Umarov, S.1
-
36
-
-
80054110209
-
Abstract fractional Cauchy problems with almost sectorial operators
-
Wang R.-N., Chen D.-H., Xiao T.-J. Abstract fractional Cauchy problems with almost sectorial operators. J. Differential Equations 2012, 252:202-235.
-
(2012)
J. Differential Equations
, vol.252
, pp. 202-235
-
-
Wang, R.-N.1
Chen, D.-H.2
Xiao, T.-J.3
-
37
-
-
0000253809
-
The Navier-Stokes initial value problem in Lp
-
Weissler F. The Navier-Stokes initial value problem in Lp. Arch. Ration. Mech. Anal. 1980, 74:219-230.
-
(1980)
Arch. Ration. Mech. Anal.
, vol.74
, pp. 219-230
-
-
Weissler, F.1
-
38
-
-
84959801193
-
Decay results for weak solutions of the Navier-Stokes equations on Rn
-
Wiegner M. Decay results for weak solutions of the Navier-Stokes equations on Rn. J. Lond. Math. Soc. 1987, 35:303-313.
-
(1987)
J. Lond. Math. Soc.
, vol.35
, pp. 303-313
-
-
Wiegner, M.1
-
39
-
-
21344436356
-
Packing measure of the sample paths of fractional Brownian motion
-
Xiao Y. Packing measure of the sample paths of fractional Brownian motion. Trans. Amer. Math. Soc. 1996, 348:3193-3213.
-
(1996)
Trans. Amer. Math. Soc.
, vol.348
, pp. 3193-3213
-
-
Xiao, Y.1
-
40
-
-
6544231000
-
On Shinbrot's conjecture for the Navier-Stokes equations
-
Zhang K. On Shinbrot's conjecture for the Navier-Stokes equations. Proc. R. Soc. Lond. Ser. A 1993, 440(1910):537-540.
-
(1993)
Proc. R. Soc. Lond. Ser. A
, vol.440
, Issue.1910
, pp. 537-540
-
-
Zhang, K.1
|