On a two-dimensional magnetohydrodynamic problem. I. Modelling and analysis
ESAIM: M2AN, 26 2 (1992) 347-364
Published online: 2017-01-31
Articles citing this article
The Citing articles tool gives a list of articles citing the current article.
The citing articles come from EDP Sciences database, as well as other publishers participating in CrossRef Cited-by Linking Program. You can set up your personal account to receive an email alert each time this article is cited by a new article (see the menu on the right-hand side of the abstract page).
Cited article:
This article has been cited by the following article(s):
Melting interfaces in induction heated bodies
Alfredo Canelas, Jean R. Roche and Jean P. BrancherComputers & Mathematics with Applications 153 213 (2024)
https://doi.org/10.1016/j.camwa.2023.11.029
Agitation of SARS‐CoV‐2 disease (COVID‐19) using ABC fractional‐order modified SEIR model
Abd Ullah, Saeed Ahmad, Ghaus Ur Rahman, Amir Ali and Fawad QayumMathematical Methods in the Applied Sciences 46 (12) 12996 (2023)
https://doi.org/10.1002/mma.9229
Approximate solution for the nonlinear fractional order mathematical model
Kahkashan Mahreen, Qura Tul Ain, Gauhar Rahman, et al.AIMS Mathematics 7 (10) 19267 (2022)
https://doi.org/10.3934/math.20221057
On nonlinear dynamics of COVID-19 disease model corresponding to nonsingular fractional order derivative
Muhammad Arfan, Maha M. A. Lashin, Pongsakorn Sunthrayuth, et al.Medical & Biological Engineering & Computing 60 (11) 3169 (2022)
https://doi.org/10.1007/s11517-022-02661-6
Shape and topology optimal design problems in electromagnetic casting
Alfredo Canelas and Jean Rodolphe RocheEngineering Computations 39 (1) 147 (2022)
https://doi.org/10.1108/EC-05-2021-0300
A comparative study of spreading of novel corona virus disease by ussing fractional order modified SEIR model
Hussam Alrabaiah, Muhammad Arfan, Kamal Shah, Ibrahim Mahariq and Aman UllahAlexandria Engineering Journal 60 (1) 573 (2021)
https://doi.org/10.1016/j.aej.2020.09.036
An efficient tool for solving two‐dimensional fuzzy fractional‐ordered heat equation
Muhammad Arfan, Kamal Shah, Thabet Abdeljawad and Zakia HammouchNumerical Methods for Partial Differential Equations 37 (2) 1407 (2021)
https://doi.org/10.1002/num.22587
On fractional order model of tumor dynamics with drug interventions under nonlocal fractional derivative
Muhammad Arfan, Kamal Shah, Aman Ullah, Meshal Shutaywi, Poom Kumam and Zahir ShahResults in Physics 21 103783 (2021)
https://doi.org/10.1016/j.rinp.2020.103783
Investigation of fractional order tuberculosis (TB) model via Caputo derivative
Ihsan Ullah, Saeed Ahmad, Mati ur Rahman and Muhammad ArfanChaos, Solitons & Fractals 142 110479 (2021)
https://doi.org/10.1016/j.chaos.2020.110479
Nonlinear fractional mathematical model of tuberculosis (TB) disease with incomplete treatment under Atangana-Baleanu derivative
Mati Ur Rahman, Muhammad Arfan, Zahir Shah, Poom Kumam and Meshal ShutaywiAlexandria Engineering Journal 60 (3) 2845 (2021)
https://doi.org/10.1016/j.aej.2021.01.015
Investigating a nonlinear dynamical model of COVID-19 disease under fuzzy caputo, random and ABC fractional order derivative
Mati ur Rahman, Muhammad Arfan, Kamal Shah and J.F. Gómez-AguilarChaos, Solitons & Fractals 140 110232 (2020)
https://doi.org/10.1016/j.chaos.2020.110232
Fractal-Fractional Mathematical Model Addressing the Situation of Corona Virus in Pakistan
Kamal Shah, Muhammad Arfan, Ibrahim Mahariq, Ali Ahmadian, Soheil Salahshour and Massimiliano FerraraResults in Physics 19 103560 (2020)
https://doi.org/10.1016/j.rinp.2020.103560
On a comprehensive model of the novel coronavirus (COVID-19) under Mittag-Leffler derivative
Mohammed S. Abdo, Kamal Shah, Hanan A. Wahash and Satish K. PanchalChaos, Solitons & Fractals 135 109867 (2020)
https://doi.org/10.1016/j.chaos.2020.109867
On a nonlinear fractional order model of dengue fever disease under Caputo-Fabrizio derivative
Kamal Shah, Fahd Jarad and Thabet AbdeljawadAlexandria Engineering Journal 59 (4) 2305 (2020)
https://doi.org/10.1016/j.aej.2020.02.022
On nonlinear stability of linear pinch
M. PadulaApplicable Analysis 90 (1) 159 (2011)
https://doi.org/10.1080/00036811.2010.490527
New Directions in Mathematical Fluid Mechanics
M. PadulaNew Directions in Mathematical Fluid Mechanics 301 (2009)
https://doi.org/10.1007/978-3-0346-0152-8_16
Modelling of a magnetohydrodynamics free surface problem arising in Czochralski crystal growth
R. Griesse and A. J. MeirMathematical and Computer Modelling of Dynamical Systems 15 (2) 163 (2009)
https://doi.org/10.1080/13873950802551542
Optimal Control of Coupled Systems of Partial Differential Equations
Pierre-Étienne DruetInternational Series of Numerical Mathematics, Optimal Control of Coupled Systems of Partial Differential Equations 158 123 (2009)
https://doi.org/10.1007/978-3-7643-8923-9_7
On Equilibria of the Two-fluid Model in Magnetohydrodynamics
Dimitri J. Frantzeskakis, Ioannis G. Stratis and Athanasios N. YannacopoulosMathematical Physics, Analysis and Geometry 7 (2) 97 (2004)
https://doi.org/10.1023/B:MPAG.0000024670.67327.0f
Analysis and Numerical Approximation of a Stationary MHD Flow Problem with Nonideal Boundary
A. J. Meir and Paul G. SchmidtSIAM Journal on Numerical Analysis 36 (4) 1304 (1999)
https://doi.org/10.1137/S003614299732615X
Variational methods for stationary MHD flow under natural interface conditions
A.J. Meir and Paul G. SchmidtNonlinear Analysis: Theory, Methods & Applications 26 (4) 659 (1996)
https://doi.org/10.1016/0362-546X(94)00308-5
On a two-dimensional magnetohydrodynamic problem. II. Numerical analysis
Jacques Rappaz and Rachid TouzaniESAIM: Mathematical Modelling and Numerical Analysis 30 (2) 215 (1996)
https://doi.org/10.1051/m2an/1996300202151