-
Previous Article
Quasilinear elliptic problem with Hardy potential and singular term
- CPAA Home
- This Issue
-
Next Article
On the hyperbolicity and causality of the relativistic Euler system under the kinetic equation of state
Spatial decay bounds in a linearized magnetohydrodynamic channel flow
1. | Chung-Ang University, Heuksuk-Dong, Donggak-Gu, 156-756, South Korea |
2. | Hanyang University, Ansan, Gyeonggido 426-791, South Korea |
References:
[1] |
K. A. Ames, L. E. Payne and P. W. Schaefer, Spatial decay estimates in time-dependent Stokes flow,, SIAM J. Math. Anal., 24 (1993), 1395. Google Scholar |
[2] |
K. A. Ames and J. C. Song, Decay bounds for magnetohydrodynamic geophysical flow,, Nonlinear Analysis, 65 (2006), 1318. Google Scholar |
[3] |
S. Chiriţă and M. Ciarletta, Spatial behaviour of solutions in the plane Stokes flow,, J. Math. Anal. Appl., 277 (2003), 571. Google Scholar |
[4] |
C. O. Horgan, Plane steady flows and energy estimates for the Navier-Stokes equations,, Arch. Rat. Mech. Anal., 68 (1978), 359. Google Scholar |
[5] |
C. O. Horgan, Recent developments concerning Saint-Venant's principle: An update,, Appl. Mech. Rev., 42 (1989), 295. Google Scholar |
[6] |
C. O. Horgan, Recent developments concerning Saint-Venant's principle: A second update,, Appl. Mech. Rev., 49 (1996), 101. Google Scholar |
[7] |
C. O. Horgan and J. K. Knowles, Recent developments concerning Saint-Venant's principle,, in, (1983), 179. Google Scholar |
[8] |
C. O. Horgan and L. T. Wheeler, Spatial decay estimates for the Navier-Stokes equations with application to the problem of entry flow,, SIAM J. Appl. Math., 35 (1978), 97. Google Scholar |
[9] |
Y. Li, Y. Liu, S. Luo and C. Lin, Decay estimates for the Brinkman-Forchheimer equations in a semi-infinite pipe,, Z. Angew. Math. Mech., 92 (2012), 160. Google Scholar |
[10] |
C. Lin, Spatial decay estimates and energy bounds for the Stokes flow equations,, Stability Appl. Anal. Contin. Media, 2 (1992), 249. Google Scholar |
[11] |
C. Lin and L. E. Payne, Spatial decay bounds in the channel flow of an incompressible viscous fluid,, Math. Models Methods Appl. Sci., 14 (2004), 795. Google Scholar |
[12] |
R. Quintanilla, Spatial decay estimate for the hyperbolic heat equation, SIAM J., Math. Anal., 27 (1996), 78. Google Scholar |
[13] |
J. C. Song, Decay estimates for steady magnetohydrodynamic pipe flow,, Nonlinear Analysis, 54 (2003), 1029. Google Scholar |
[14] |
J. C. Song, Improved decay estimates in time-dependent Stokes flow,, J. Math. Anal. Appl., 288 (2003), 505. Google Scholar |
[15] |
J. C. Song, Improved spatial decay bounds in the plane Stokes flow,, Appl. Math. Mech., 30 (2009), 833. Google Scholar |
[16] |
J. C. Song, Spatial decay estimates in time-dependent double-diffusive flow,, J. Math. Anal. Appl., 267 (2001), 76. Google Scholar |
[17] |
B. Straughan, "Stability and Wave Motion in Porous Media,", Springer-Verlag, (2008). Google Scholar |
[18] |
P. Vafeades and C. O. Horgan, Exponential decay estimates for solutions of the van Kármán equations on a semi-infinite strip,, Arch. Rat. Mech. Anal., 104 (1988), 1. Google Scholar |
[19] |
A. Yoshizawa, "Hydrodynamic and Magnetohydrodynamic Turbulent Flows,", Kluwer Academic Publishers, (1998). Google Scholar |
[20] |
C. Zhao, Initial boundary value problem for the evolution system of MHD type describing geophysical flow in three dimensional domains,, Math. Meth. Appl. Sci., 26 (2003), 759. Google Scholar |
show all references
References:
[1] |
K. A. Ames, L. E. Payne and P. W. Schaefer, Spatial decay estimates in time-dependent Stokes flow,, SIAM J. Math. Anal., 24 (1993), 1395. Google Scholar |
[2] |
K. A. Ames and J. C. Song, Decay bounds for magnetohydrodynamic geophysical flow,, Nonlinear Analysis, 65 (2006), 1318. Google Scholar |
[3] |
S. Chiriţă and M. Ciarletta, Spatial behaviour of solutions in the plane Stokes flow,, J. Math. Anal. Appl., 277 (2003), 571. Google Scholar |
[4] |
C. O. Horgan, Plane steady flows and energy estimates for the Navier-Stokes equations,, Arch. Rat. Mech. Anal., 68 (1978), 359. Google Scholar |
[5] |
C. O. Horgan, Recent developments concerning Saint-Venant's principle: An update,, Appl. Mech. Rev., 42 (1989), 295. Google Scholar |
[6] |
C. O. Horgan, Recent developments concerning Saint-Venant's principle: A second update,, Appl. Mech. Rev., 49 (1996), 101. Google Scholar |
[7] |
C. O. Horgan and J. K. Knowles, Recent developments concerning Saint-Venant's principle,, in, (1983), 179. Google Scholar |
[8] |
C. O. Horgan and L. T. Wheeler, Spatial decay estimates for the Navier-Stokes equations with application to the problem of entry flow,, SIAM J. Appl. Math., 35 (1978), 97. Google Scholar |
[9] |
Y. Li, Y. Liu, S. Luo and C. Lin, Decay estimates for the Brinkman-Forchheimer equations in a semi-infinite pipe,, Z. Angew. Math. Mech., 92 (2012), 160. Google Scholar |
[10] |
C. Lin, Spatial decay estimates and energy bounds for the Stokes flow equations,, Stability Appl. Anal. Contin. Media, 2 (1992), 249. Google Scholar |
[11] |
C. Lin and L. E. Payne, Spatial decay bounds in the channel flow of an incompressible viscous fluid,, Math. Models Methods Appl. Sci., 14 (2004), 795. Google Scholar |
[12] |
R. Quintanilla, Spatial decay estimate for the hyperbolic heat equation, SIAM J., Math. Anal., 27 (1996), 78. Google Scholar |
[13] |
J. C. Song, Decay estimates for steady magnetohydrodynamic pipe flow,, Nonlinear Analysis, 54 (2003), 1029. Google Scholar |
[14] |
J. C. Song, Improved decay estimates in time-dependent Stokes flow,, J. Math. Anal. Appl., 288 (2003), 505. Google Scholar |
[15] |
J. C. Song, Improved spatial decay bounds in the plane Stokes flow,, Appl. Math. Mech., 30 (2009), 833. Google Scholar |
[16] |
J. C. Song, Spatial decay estimates in time-dependent double-diffusive flow,, J. Math. Anal. Appl., 267 (2001), 76. Google Scholar |
[17] |
B. Straughan, "Stability and Wave Motion in Porous Media,", Springer-Verlag, (2008). Google Scholar |
[18] |
P. Vafeades and C. O. Horgan, Exponential decay estimates for solutions of the van Kármán equations on a semi-infinite strip,, Arch. Rat. Mech. Anal., 104 (1988), 1. Google Scholar |
[19] |
A. Yoshizawa, "Hydrodynamic and Magnetohydrodynamic Turbulent Flows,", Kluwer Academic Publishers, (1998). Google Scholar |
[20] |
C. Zhao, Initial boundary value problem for the evolution system of MHD type describing geophysical flow in three dimensional domains,, Math. Meth. Appl. Sci., 26 (2003), 759. Google Scholar |
[1] |
José Luiz Boldrini, Jonathan Bravo-Olivares, Eduardo Notte-Cuello, Marko A. Rojas-Medar. Asymptotic behavior of weak and strong solutions of the magnetohydrodynamic equations. Electronic Research Archive, 2021, 29 (1) : 1783-1801. doi: 10.3934/era.2020091 |
[2] |
Adel M. Al-Mahdi, Mohammad M. Al-Gharabli, Salim A. Messaoudi. New general decay result for a system of viscoelastic wave equations with past history. Communications on Pure & Applied Analysis, 2021, 20 (1) : 389-404. doi: 10.3934/cpaa.2020273 |
[3] |
Serge Dumont, Olivier Goubet, Youcef Mammeri. Decay of solutions to one dimensional nonlinear Schrödinger equations with white noise dispersion. Discrete & Continuous Dynamical Systems - S, 2020 doi: 10.3934/dcdss.2020456 |
[4] |
Xiaopeng Zhao, Yong Zhou. Well-posedness and decay of solutions to 3D generalized Navier-Stokes equations. Discrete & Continuous Dynamical Systems - B, 2021, 26 (2) : 795-813. doi: 10.3934/dcdsb.2020142 |
[5] |
Yang Liu. Global existence and exponential decay of strong solutions to the cauchy problem of 3D density-dependent Navier-Stokes equations with vacuum. Discrete & Continuous Dynamical Systems - B, 2021, 26 (3) : 1291-1303. doi: 10.3934/dcdsb.2020163 |
[6] |
Yu Jin, Xiang-Qiang Zhao. The spatial dynamics of a Zebra mussel model in river environments. Discrete & Continuous Dynamical Systems - B, 2020 doi: 10.3934/dcdsb.2020362 |
[7] |
San Ling, Buket Özkaya. New bounds on the minimum distance of cyclic codes. Advances in Mathematics of Communications, 2021, 15 (1) : 1-8. doi: 10.3934/amc.2020038 |
[8] |
Mahir Demir, Suzanne Lenhart. A spatial food chain model for the Black Sea Anchovy, and its optimal fishery. Discrete & Continuous Dynamical Systems - B, 2021, 26 (1) : 155-171. doi: 10.3934/dcdsb.2020373 |
[9] |
Xiuli Xu, Xueke Pu. Optimal convergence rates of the magnetohydrodynamic model for quantum plasmas with potential force. Discrete & Continuous Dynamical Systems - B, 2021, 26 (2) : 987-1010. doi: 10.3934/dcdsb.2020150 |
[10] |
Zhiyan Ding, Qin Li, Jianfeng Lu. Ensemble Kalman Inversion for nonlinear problems: Weights, consistency, and variance bounds. Foundations of Data Science, 2020 doi: 10.3934/fods.2020018 |
[11] |
Xiaoping Zhai, Yongsheng Li. Global large solutions and optimal time-decay estimates to the Korteweg system. Discrete & Continuous Dynamical Systems - A, 2021, 41 (3) : 1387-1413. doi: 10.3934/dcds.2020322 |
[12] |
Klemens Fellner, Jeff Morgan, Bao Quoc Tang. Uniform-in-time bounds for quadratic reaction-diffusion systems with mass dissipation in higher dimensions. Discrete & Continuous Dynamical Systems - S, 2021, 14 (2) : 635-651. doi: 10.3934/dcdss.2020334 |
[13] |
Xiaoli Lu, Pengzhan Huang, Yinnian He. Fully discrete finite element approximation of the 2D/3D unsteady incompressible magnetohydrodynamic-Voigt regularization flows. Discrete & Continuous Dynamical Systems - B, 2021, 26 (2) : 815-845. doi: 10.3934/dcdsb.2020143 |
[14] |
Xing Wu, Keqin Su. Global existence and optimal decay rate of solutions to hyperbolic chemotaxis system in Besov spaces. Discrete & Continuous Dynamical Systems - B, 2020 doi: 10.3934/dcdsb.2021002 |
[15] |
Gunther Uhlmann, Jian Zhai. Inverse problems for nonlinear hyperbolic equations. Discrete & Continuous Dynamical Systems - A, 2021, 41 (1) : 455-469. doi: 10.3934/dcds.2020380 |
[16] |
Neil S. Trudinger, Xu-Jia Wang. Quasilinear elliptic equations with signed measure. Discrete & Continuous Dynamical Systems - A, 2009, 23 (1&2) : 477-494. doi: 10.3934/dcds.2009.23.477 |
[17] |
Hua Qiu, Zheng-An Yao. The regularized Boussinesq equations with partial dissipations in dimension two. Electronic Research Archive, 2020, 28 (4) : 1375-1393. doi: 10.3934/era.2020073 |
[18] |
Thomas Bartsch, Tian Xu. Strongly localized semiclassical states for nonlinear Dirac equations. Discrete & Continuous Dynamical Systems - A, 2021, 41 (1) : 29-60. doi: 10.3934/dcds.2020297 |
[19] |
Lorenzo Zambotti. A brief and personal history of stochastic partial differential equations. Discrete & Continuous Dynamical Systems - A, 2021, 41 (1) : 471-487. doi: 10.3934/dcds.2020264 |
[20] |
Hua Chen, Yawei Wei. Multiple solutions for nonlinear cone degenerate elliptic equations. Communications on Pure & Applied Analysis, , () : -. doi: 10.3934/cpaa.2020272 |
2019 Impact Factor: 1.105
Tools
Metrics
Other articles
by authors
[Back to Top]