caa a22 4500 445361948 CHVBK 20180317142917.0 cr unu---uuuuu 170323e20111201xx s 000 0 eng 10.1007/s11071-010-9925-x doi (NATIONALLICENCE)springer-10.1007/s11071-010-9925-x Zakaria Kadry Mathematics Department, Faculty of Science, Tanta University, Tanta, Egypt aut Stability ofresonant interfacial waves in the presence ofuniform magnetic field [Elektronische Daten] [Kadry Zakaria] The aim of this work is to study the instability of interacting waves between two immiscible magnetic liquids. The effects of gravitation and a uniform normal magnetic field are taken into account. The method of multiple scales is used to determine the stability criteria of the considered problem. The various stability criteria are discussed both analytically and graphically. According to the numerical examples, we have remarked that the increase of the ratio of the permeability of the liquids appears to be the destabilizing effect of the magnetic field. The short waves below the critical wavenumbers are stable whereas a number of long waves are unstable. The viscosity effect on the stability criteria is a dual-role one, depending on the strength of the applied magnetic field. Springer Science+Business Media B.V., 2011 Interacting waves nationallicence Magnetic field nationallicence Viscous potential flow nationallicence Nonlinear Dynamics Springer Netherlands 66/4(2011-12-01), 457-477 0924-090X 66:4<457 2011 66 11071 https://doi.org/10.1007/s11071-010-9925-x text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s11071-010-9925-x text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Zakaria Kadry Mathematics Department, Faculty of Science, Tanta University, Tanta, Egypt aut NATIONALLICENCE 773 0- Nonlinear Dynamics Springer Netherlands 66/4(2011-12-01), 457-477 0924-090X 66:4<457 2011 66 11071 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer