Results 21 to 30 of about 394 (52)
Magneto‐micropolar fluid motion: global existence of strong solutions
Abstract and Applied Analysis, Volume 4, Issue 2, Page 109-125, 1999., 1999 By using the spectral Galerkin method, we prove a result on global existence in time of strong solutions for the motion of magneto‐micropolar fluid without assuming that the external forces decay with time. We also derive uniform in time estimates of the solution that are useful for obtaining error bounds for the approximate solutions.
Elva E. Ortega-Torres +1 more
wiley +1 more source
Penetrative convection due to absorption of radiation in a magnetic nanofluid saturated porous layer
Studia Geotechnica et Mechanica, 2019 The present study investigates the onset of penetrative convection in- duced by selective absorption of radiation in a magnetic nanofluid saturated porous medium. The influence of Brownian motion, thermophoresis, and magnetophoresis on magnetic nanofluid
Mahajan Amit, Sharma Mahesh Kumar
doaj +1 more source
Affine Lie-Poisson Reduction, Yang-Mills magnetohydrodynamics, and superfluids [PDF]
, 2009 This paper develops the theory of affine Lie-Poisson reduction and applies this process to Yang-Mills and Hall magnetohydrodynamics for fluids and superfluids.
Gay-Balmaz, François, Ratiu, Tudor S.
core +2 more sources
Hodographic study of plane micropolar fluid flows
International Journal of Mathematics and Mathematical Sciences, Volume 18, Issue 2, Page 357-364, 1995., 1995 Equations of steady flow of a plane micropolar fluid are transformed to the hodograph plane by means of the Legendre transform function of the streamfunction. Results are summarized in the form of a theorem, some flow problems are investigated as applications of this theorem and exact solutions and geometry of the flow are obtained in each case.
Indrasena Adluri
wiley +1 more source
H\"{o}lder continuity of solutions to the kinematic dynamo equations
, 2014 We study the propagation of regularity of solutions to a three dimensional system of linear parabolic PDE known as the kinematic dynamo equations. The divergence free drift velocity is assumed to be at the critical regularity level with respect to the ...
Friedlander, Susan, Suen, Anthony
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On the unsteady flow of two visco‐elastic fluids between two inclined porous plates
International Journal of Stochastic Analysis, Volume 5, Issue 2, Page 131-138, 1992., 1992 This study is concerned with both hydrodynamic and hydromagnetic unsteady slow flows of two immiscible visco‐elastic fluids of Rivlin‐Ericksen type between two porous parallel nonconducting plates inclined at a certain angle to the horizontal. The exact solutions for the velocity fields, skin frictions, and the interface velocity distributions are ...
P. R. Sengupta, T. K. Ray, L. Debnath
wiley +1 more source
Invariant conservative finite-difference schemes for the one-dimensional shallow water magnetohydrodynamics equations in Lagrangian coordinates [PDF]
Open Communications in Nonlinear Mathematical PhysicsInvariant finite-difference schemes for the one-dimensional shallow water equations in the presence of a magnetic field for various bottom topographies are constructed. Based on the results of the group classification recently carried out by the authors,
E. I. Kaptsov, V. A. Dorodnitsyn
doaj +1 more source
An Energetic Variational Approach for ion transport
, 2014 The transport and distribution of charged particles are crucial in the study of many physical and biological problems. In this paper, we employ an Energy Variational Approach to derive the coupled Poisson-Nernst-Planck-Navier-Stokes system.
Liu, Chun, Sheng, Ping, Xu, Shixin
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Hodographic study of non‐Newtonian MHD aligned steady plane fluid flows
International Journal of Mathematics and Mathematical Sciences, Volume 13, Issue 1, Page 93-113, 1990., 1990 A study is made of non‐Newtonian HHD aligned steady plane fluid flows to find exact solutions for various flow configurations. The equations of motion have been transformed to the hodograph plane. A Legendre‐transform function is used to recast the equations in the hodograph plane in terms of this transform function.
P. V. Nguyen, O. P. Chandna
wiley +1 more source
On the hierarchy of partially invariant submodels of differential equations
, 2007 It is noticed, that partially invariant solution (PIS) of differential equations in many cases can be represented as an invariant reduction of some PIS of the higher rank.
Chupakhin A P +23 more
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