# On nonexistence of tokamak equilibria with purely poloidal flow

## Abstract

It is proved that irrespective of compressibility, tokamak steady states with purely poloidal mass flow cannot exist in the framework of either magnetohydrodynamics (MHD) or Hall MHD models. Nonexistence persists within single-fluid plasma models with pressure anisotropy and incompressible flows.

- Authors:

- Association Euratom-Hellenic Republic, Section of Theoretical Physics, University of Ioannina, GR 451 10 Ioannina (Greece)
- (United States)
- (Germany)

- Publication Date:

- OSTI Identifier:
- 20860435

- Resource Type:
- Journal Article

- Resource Relation:
- Journal Name: Physics of Plasmas; Journal Volume: 13; Journal Issue: 12; Other Information: DOI: 10.1063/1.2397042; (c) 2006 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA)

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 70 PLASMA PHYSICS AND FUSION TECHNOLOGY; ANISOTROPY; COMPRESSIBILITY; FLUIDS; INCOMPRESSIBLE FLOW; MAGNETOHYDRODYNAMICS; PLASMA; PLASMA CONFINEMENT; STEADY-STATE CONDITIONS; TOKAMAK DEVICES

### Citation Formats

```
Throumoulopoulos, G. N., Weitzner, H., Tasso, H., Courant Institute of Mathematical Sciences, New York University, New York, New York 10012, and Euratom Association, Max-Planck-Institut fuer Plasmaphysik, D-85748 Garching.
```*On nonexistence of tokamak equilibria with purely poloidal flow*. United States: N. p., 2006.
Web. doi:10.1063/1.2397042.

```
Throumoulopoulos, G. N., Weitzner, H., Tasso, H., Courant Institute of Mathematical Sciences, New York University, New York, New York 10012, & Euratom Association, Max-Planck-Institut fuer Plasmaphysik, D-85748 Garching.
```*On nonexistence of tokamak equilibria with purely poloidal flow*. United States. doi:10.1063/1.2397042.

```
Throumoulopoulos, G. N., Weitzner, H., Tasso, H., Courant Institute of Mathematical Sciences, New York University, New York, New York 10012, and Euratom Association, Max-Planck-Institut fuer Plasmaphysik, D-85748 Garching. Fri .
"On nonexistence of tokamak equilibria with purely poloidal flow". United States.
doi:10.1063/1.2397042.
```

```
@article{osti_20860435,
```

title = {On nonexistence of tokamak equilibria with purely poloidal flow},

author = {Throumoulopoulos, G. N. and Weitzner, H. and Tasso, H. and Courant Institute of Mathematical Sciences, New York University, New York, New York 10012 and Euratom Association, Max-Planck-Institut fuer Plasmaphysik, D-85748 Garching},

abstractNote = {It is proved that irrespective of compressibility, tokamak steady states with purely poloidal mass flow cannot exist in the framework of either magnetohydrodynamics (MHD) or Hall MHD models. Nonexistence persists within single-fluid plasma models with pressure anisotropy and incompressible flows.},

doi = {10.1063/1.2397042},

journal = {Physics of Plasmas},

number = 12,

volume = 13,

place = {United States},

year = {Fri Dec 15 00:00:00 EST 2006},

month = {Fri Dec 15 00:00:00 EST 2006}

}

DOI: 10.1063/1.2397042

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