1 |
C.J. Amick, J.L. Bona and M.E. Schonbek, Decay of solutions of some nonlinear wave equations, J. Differential Equs. 81(1) (1989), 1-49.
DOI
|
2 |
A. Mahmood, N.A. Khan, C. Fetecau, M. Jamil and Q. Rubbab, Exact analytic solutions for the flow of second grade fluid between two longitudinally oscillating cylinders, J. Prime Research in Math., 5 (2009), 192-204.
|
3 |
S. Asghar, T. Hayat and P. D. Ariel, Unsteady Couette flows in a second grade fluid with variable material properties, Commu. Nonlinear Sci. Numer. Simul., 14(1) (2009), 154-159.
DOI
|
4 |
T. Aziz and F.M. Mah, A note on the solutions of some nonlinear equations arising in third-grade fluid flows: An exact approach, The Scientific World Journal, 2014 (2014), Art. ID 109128, 7 pages.
|
5 |
G. Barenblat, I. Zheltov and I. Kochiva, Basic concepts in the theory of seepage of homogeneous liquids in fissured rocks, J. Appl. Math. Mech., 24(5) (1960), 1286-1303.
DOI
|
6 |
T.B. Benjamin, J.L. Bona and J.J. Mahony, Models equation of long waves in nonlinear dispersive systems, Philos. Trans. R. Soc. Lond. Ser. A, 272 (1220) (1972), 47-78.
DOI
|
7 |
J.L. Bona and V.A. Dougalis. An initial and boundary value problem for a model equation for propagation of long waves, J. Math. Anal. Appl. 75 (1980), 503-522.
DOI
|
8 |
A. Bouziani, Solvability of nonlinear pseudoparabolic equation with a nonlocal boundary condition, Nonlinear Anal., 55 (2003), 883-904.
DOI
|
9 |
A. Bouziani, Initial-boundary value problem for a class of pseudoparabolic equations with integral boundary conditions, J. Math. Anal. Appl., 291(2) (2004), 371-386.
DOI
|
10 |
Y. Cao, J. Yin and C. Wang, Cauchy problems of semilinear pseudoparabolic equations, J. Differential Equ., . 246(12) (2009), 4568-4590.
DOI
|
11 |
M.M. Cavalcanti, V.N. Domingos Cavalcanti and M.L. Santos, Existence and uniform decay rates of solutions to a degenerate system with memory conditions at the boundary, Appl. Math. Comput., 150 (2004), 439-465.
DOI
|
12 |
Y. Cao, J.X. Lin and Y.H. Li, One-dimensional viscous diffusion of higher order with gradient dependent potentials and sources, Acta. Math. Sin. 246(12) (2018), 4568-4590.
|
13 |
M.M. Cavalcanti, V.N. Domingos Cavalcanti and J.A. Soriano, On the existence and the uniform decay of a hyperbolic, Southeast Asian Bull. Math., 24 (2000), 183-199.
DOI
|
14 |
M.M. Cavalcanti, V.N. Domingos Cavalcanti and J.A. Soriano, Exponential decay for the solution of semilinear viscoelastic wave equations with localized damping, Electronic J. Diffe. Equ., Vol. 2002(44) (2002), pp. 1-14.
|
15 |
D.Q. Dai and Y. Huang, A moment problem for one-dimensional nonlinear pseudoparabolic equation, J. Math. Anal. Appl., 328 (2007), 1057-1067.
DOI
|
16 |
T. Hayat, M. Khan and M. Ayub, Some analytical solutions for second grade fluid flows for cylindrical geometries, Math. Comput. Model., 43(1-2) (2006), 16-29.
DOI
|
17 |
V.T.T. Mai, N.A. Triet, L.T.P. Ngoc and N.T. Long, Existence, blow-up and exponential decay for a nonlinear Kirchhoff-Carrier-Love equation with Dirichlet conditions, Nonlinear Funct. Anal. Appl., 25(4) (2020), 617-655
DOI
|
18 |
T. Hayat, F. Shahzad and M. Ayub, Analytical solution for the steady flow of the third grade fluid in a porous half space, Appl. Math. Model., 31(11) (2007), 2424-2432.
DOI
|
19 |
J.L. Lions, Quelques methodes de resolution des probl'emes aux limites non-lineaires, Dunod-Gauthier-Villars, Paris, 1969.
|
20 |
N.T. Long and A.P.N. Dinh, On a nonlinear parabolic equation involving Bessel's operator associated with a mixed inhomogeneous condition, J. Comput. Appl. Math., 196(1) (2006), 267-284.
DOI
|
21 |
L.A. Medeiros and M.M. Miranda, Weak solutions for a nonlinear dispersive equation, J. Math. Anal. Appl,. 59 (1977), 432-441.
DOI
|
22 |
S.A. Messaoudi, Blow up and global existence in a nonlinear viscoelastic wave equation, Math. Nachr., 260 (2003), 58-66.
DOI
|
23 |
L.T.P. Ngoc, N.V. Y, A.P.N. Dinh and N.T. Long, On a nonlinear heat equation associated with Dirichlet-Robin conditions, Numerical Funct. Anal. Opti., 33(2) (2012), 166-189.
DOI
|
24 |
L.T.P. Ngoc, N.V. Y, T. M. Thuyet and N.T. Long, On a nonlinear heat equation with viscoelastic term associate with Robin conditions, Applicable Anal., 96(16) (2017), 2717-2736.
DOI
|
25 |
L.T.P. Ngoc and N.T. Long, Exponential decay and blow-up for a system of nonlinear heat equations containing viscoelastic terms and associated with Robin-Dirichlet conditions, Elect. J. Diff, Equ., 2020(106) (2020), 1-26.
DOI
|
26 |
V. Padron, Effect of aggregation on population recovery modeled by a forward-backward pseudoparabolic equation, Trans. Amer. Math. Soc., 356(7) (2004), 2739-2756.
DOI
|
27 |
R.E. Showalter and T.W. Ting, Asymptotic behavior of solutions of pseudo-parabolic partial differential equations, Annali di Matematica Pura ed Applicata, 90(4) (1971), 241-258.
DOI
|
28 |
M. Sajid and T. Hayat, Series solution for steady flow of a third grade fluid through porous space, Transport in Porous Media, 71(2) (2008), 173-183.
DOI
|
29 |
M.L. Santos, Asymptotic behavior of solutions to wave equations with a memory condition at the boundary, Electr. J. Diff. Equ., 2001(73) (2001), 1-11.
|
30 |
Y.D. Shang and B.L. Guo, On the problem of the existence of global solution for a class of nonlinear convolutional intergro-differential equation of pseudoparabolic type, Acta Math. Appl. Sin. 26(3) (2003), 512-524.
|
31 |
R.E. Showalter, Existence and representation theorems for a semilinear Sobolev equation in Banach space, SIAM J. Math. Anal., 3 (1972), 527-543.
DOI
|
32 |
R.E. Showater, Hilbert space methods for partial differential equations, Electr. J. Diff. Equ. Monograph 01, 1994.
|
33 |
T.W. Ting, Certain non-steady flows of second-order fluids, Arch. Ration. Mech. Anal., 14 (1963), 1-26.
DOI
|
34 |
L. Zhang, Decay of solution of generalized Benjamin-Bona-Mahony-Burgers equations in n-space dimensions, Nonlinear Anal., 25(12) (1995), 1343-1369.
DOI
|
35 |
X. Zhu, F. Li and Y. Li, Global solutions and blow-up solutions to a class pseudoparabolic equations with nonlocal term, Appl. Math. Comput. 329 (2018), 38-51.
DOI
|
36 |
J.E. Munoz-Rivera and D. Andrade, Exponential decay of nonlinear wave equation with a viscoelastic boundary condition, Math. Methods Appl. Sci. 23 (2000), 41-61.
DOI
|