“Homayoon Eshraghi”

Tel:  +08 21 22809150
Fax:  +98 21 22813722

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 2-D 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- 2-D Double waved in magnetized Plasmas. 3- Vanishing helicity ideal fluids 4- Vortex singularity - reconnection in viscous fluids. 5- Point Stability in non-ideal 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), 315-359  [abstract]
arXive.org link: math-ph/0611061 [ abs, src, ps, others], cited by
Code: IPM/P-2006/074
2. L. Rajaee and H. Eshraghi
Multi-Dimentional Vortex Quasi-Simple Waves
Physica D: Nonlinear Phenomena 238 (2009), 477-489  [abstract]
Code: IPM/P-2008/001
3. H. Eshraghi and J.D. Gibbon
Quaternions and Ideal Flows
J. Phys. A: Math. Gen. 41 (2008), 344004  [abstract]
Code: IPM/P-2008/002
4. L. Rajaee, H. Eshraghi and R.O. Popovych
Multi-Dimensional Quasi Simple Waves in Weakly Dissipative Flows
Physica D: Nonlinear Phenomena 237 (2008), 405-419  [abstract]
Code: IPM/P-2006/009
5. D.D. Tskhakaya and H. Eshraghi
On the Theory of Magneto-Sound Double Simple Waves
J. Plasma Phys. 74 (2007), 455-471  [abstract]
Code: IPM/P-2007/040
6. H. Eshraghi
Once More, Entropy as A Liapunov Function
IUST International Journal of Engineering Science 17 (2006), 5-8  [abstract]
Code: IPM/P-2003/050
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(20-31 August,2004, Zlatibor, Serbia and Montenegro), Sveske Fiz. Nauka, 2005, V.18(A1), 451-456)
Code: IPM/P-2005/066
8. H. Eshraghi, Y. Abedini and R.O. Popovych
Effect of External Sources on Finite Time Singularity
Physica Scripta 71 (2005), 52-59  [abstract]
Code: IPM/P-2004/004
9. H. Eshraghi and Y. Abedini
A Special Class in Vanishing Helicity Ideal Flows
J. Math. Phys. 46 (2005), 043102  [abstract]
Code: IPM/P-2004/002
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), 3049-3057  [abstract]
Code: IPM/P-2003/066
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. 219--224)
arXive.org link: math-ph/0310039 [ abs, src, ps, others], cited by
Code: IPM/P-2003/065
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.715-721)
Code: IPM/P-2002/076
13. H. Eshraghi
On the Vortex Dynamics in Fully Relativistic Plasmas
Phys. Plasmas 10 (2003), 3577-3583  [abstract]
Code: IPM/P-2003/013
14. D.D. Tskhakaya and H. Eshraghi
Two-Dimensional Double Simple Waves in Pair Plasma at Relativistic Temperatures
Phys. Plasmas 9 (2002), 2518-2525  [abstract]
Code: IPM/P-2000/027
15. H. Eshraghi and N.L. Tsintsadze
A Steady Two Dimensional Radiative Relativistic Plasma Flow
Physica Scripta T84 (2000), 225-228  [abstract]
Code: IPM/P-1999/079
16. H. Eshraghi and D.D. Tskhakaya
On the MHD Simple Waves in Fully Relativistic Electron-Positron Plasmas with Radiation
Astrophysics and Space Science 262 (1999), 441-452  [abstract]
Code: IPM/P-1999/018
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