“Homayoon Eshraghi”
Tel: +08 21 22809150
Fax: +98 21 22813722
Email:
IPM Positions 

Resident Researcher, School of Physics
(2005  2008 (1995 March 19, 2008)) 

Past IPM Positions 

PostDoctoral Associate, School of Physics
(1995  2005) 

Research Interests 

Fundamental Physics, Analytical Plasma Physics, General, Algebraic, differential Topology, PDE Dynamical Systems, Especially, the application of the above mentioned mathematical subjects in hydrodynamics  
Research Activities 

1 The investigation of the effect of external sources in the context of "finite time singularity" in ideal and viscous fluids. 2 Finding the (nonlinear) double Riemann Wave Solution in highly magnetized 2D Plasmas. The permitted and forbidden areas of the solution together with the time of creation of singularities and streamlines are being studied. 3 A new class in vanishing helicity flous in ideal fluids is studied according to the spitality which is a lagrangian invariant. 4 In an incompressible viscous fluid there is a connection between the singularity and vortex lines reconnection. These connections can be shown in a geometrical approach. We investigate this relation and in addition, a new spirality and a new equation for it, is suggested for an incompressible viscous flow. 5 The effect of thermodynamical coupling in fluids may impose significant constraints on the mechanical motion of a fluid. Especially the law of increase of entropy is shown to enable us to give the point stability and the velocity field near the stable point.  
Present Research Project at IPM 

1 Source effects in sihgular vortices 2 2D Double waved in magnetized Plasmas. 3 Vanishing helicity ideal fluids 4 Vortex singularity  reconnection in viscous fluids. 5 Point Stability in nonideal fluids.  
Related Papers 
1.  R. O . Popovych, M. Kunzinger and H. Eshraghi Admissible Transformations and Normalized Classes of Nonlinear Schroedinger Equations Acta Appl. Math. 109 (2010), 315359 [abstract] arXive.org link: mathph/0611061 [ abs, src, ps, others], cited by Code: IPM/P2006/074 
2.  L. Rajaee and H. Eshraghi MultiDimentional Vortex QuasiSimple Waves Physica D: Nonlinear Phenomena 238 (2009), 477489 [abstract] Code: IPM/P2008/001 
3.  H. Eshraghi and J.D. Gibbon Quaternions and Ideal Flows J. Phys. A: Math. Gen. 41 (2008), 344004 [abstract] Code: IPM/P2008/002 
4.  L. Rajaee, H. Eshraghi and R.O. Popovych MultiDimensional Quasi Simple Waves in Weakly Dissipative Flows Physica D: Nonlinear Phenomena 237 (2008), 405419 [abstract] Code: IPM/P2006/009 
5.  D.D. Tskhakaya and H. Eshraghi On the Theory of MagnetoSound Double Simple Waves J. Plasma Phys. 74 (2007), 455471 [abstract] Code: IPM/P2007/040 
6.  H. Eshraghi Once More, Entropy as A Liapunov Function IUST International Journal of Engineering Science 17 (2006), 58 [abstract] Code: IPM/P2003/050 
7.  N. M. Ivanova, R. O. Popovych and H. Eshraghi On Symmetry Properties of Nonlinear Schrodinger Equations with Potentials ( In: Proceedings of Summer School in Modern Mathematical Physics(2031 August,2004, Zlatibor, Serbia and Montenegro), Sveske Fiz. Nauka, 2005, V.18(A1), 451456) Code: IPM/P2005/066 [abstract] 
8.  H. Eshraghi, Y. Abedini and R.O. Popovych Effect of External Sources on Finite Time Singularity Physica Scripta 71 (2005), 5259 [abstract] Code: IPM/P2004/004 
9.  H. Eshraghi and Y. Abedini A Special Class in Vanishing Helicity Ideal Flows J. Math. Phys. 46 (2005), 043102 [abstract] Code: IPM/P2004/002 
10.  N.O. Ivanova, H. Eshraghi and R.O. Popovych Group Classification of (1+1)Dimensional Schrodinger Equations with Potentials and Power Nonlinearities J. Math. Phys. 45 (2004), 30493057 [abstract] Code: IPM/P2003/066 
11.  N.O. Ivanova, R.O. Popovych and H. Eshraghi Lie Symmetries of (1+1)Dimensional Cubic Schrodinger Equation with Potential ( In: Proceedings of the Fifth International Conference on Symmetry in Non Linear Mathematical Physics, Proceedings of Institute of Mathematics of NAS of Ukraine, 2004, Part 1, P. 219224) arXive.org link: mathph/0310039 [ abs, src, ps, others], cited by [abstract] Code: IPM/P2003/065 
12.  H. Eshraghi and Y. Abedini The Generalized Leray Transformation for Finite Time Singular Vortices in Fluids ( In: Proceedings of the Fifth International Conference on Symmetry in Non Linear Mathematical Physics, Proceedings of Institute of Mathematics of NAS of Ukraine,2004, p.715721) Code: IPM/P2002/076 [abstract] 
13.  H. Eshraghi On the Vortex Dynamics in Fully Relativistic Plasmas Phys. Plasmas 10 (2003), 35773583 [abstract] Code: IPM/P2003/013 
14.  D.D. Tskhakaya and H. Eshraghi TwoDimensional Double Simple Waves in Pair Plasma at Relativistic Temperatures Phys. Plasmas 9 (2002), 25182525 [abstract] Code: IPM/P2000/027 
15.  H. Eshraghi and N.L. Tsintsadze A Steady Two Dimensional Radiative Relativistic Plasma Flow Physica Scripta T84 (2000), 225228 [abstract] Code: IPM/P1999/079 
16.  H. Eshraghi and D.D. Tskhakaya On the MHD Simple Waves in Fully Relativistic ElectronPositron Plasmas with Radiation Astrophysics and Space Science 262 (1999), 441452 [abstract] Code: IPM/P1999/018 
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