# Conservative regularization of neutral fluids and plasmas

@article{Sachdev2020ConservativeRO, title={Conservative regularization of neutral fluids and plasmas}, author={Sonakshi Sachdev}, journal={arXiv: Fluid Dynamics}, year={2020} }

Ideal systems of equations such as Euler and MHD may develop singular structures like shocks, vortex/current sheets. Among these, vortical singularities arise due to vortex stretching which can lead to unbounded growth of enstrophy. Viscosity and resistivity provide dissipative regularizations of these singularities. In analogy with the dispersive KdV regularization of the 1D inviscid Burgers' equation, we propose a local conservative regularization of ideal 3D compressible flows, MHD and 2…

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## References

SHOWING 1-10 OF 43 REFERENCES

### Local conservative regularizations of compressible MHD and neutral flows

- Mathematics
- 2016

Ideal systems like MHD and Euler flow may develop singularities in vorticity (w = ∇ × v). Viscosity and resistivity provide dissipative regularizations of the singularities. In this paper we propose…

### Nonlinear dispersive regularization of inviscid gas dynamics

- PhysicsAIP Advances
- 2020

Ideal gas dynamics can develop shock-like singularities with discontinuous density. Viscosity typically regularizes such singularities and leads to a shock structure. On the other hand, in 1d,…

### Conservative regularization of ideal hydrodynamics and magnetohydrodynamics

- Mathematics
- 2010

Inviscid, incompressible hydrodynamics and incompressible ideal magnetohydrodynamics (MHD) share many properties such as time-reversal invariance of equations, conservation laws, and certain…

### Conservative regularization of compressible dissipationless two-fluid plasmas.

- Physics
- 2017

This paper extends our earlier approach [cf. Phys. Plasmas 17, 032503 (2010), 23, 022308 (2016)] to obtaining \`a priori bounds on enstrophy in neutral fluids (R-Euler) and ideal magnetohydrodynamics…

### Hilbert's 6th problem: Exact and approximate hydrodynamic manifolds for kinetic equations

- Mathematics
- 2013

The problem of the derivation of hydrodynamics from the Boltz- mann equation and related dissipative systems is formulated as the problem of slow invariant manifold in the space of distributions. We…

### Unified Shock Profile in a Plasma

- Physics
- 1967

Previously [P.N.Hu, Phys. Fluids 9, 89 (1966)], a universal monotonic profile was found for a weak plasma shock propagating perpendicular to a magnetic field using an elaborate set of moment…

### Adjoint variational principles for regularised conservative systems

- Mathematics
- 2014

Variational principles are powerful tools in many branches of theoretical physics. Certain conservative systems which do not admit of a traditional Euler-Lagrange variational formulation are given a…

### Development of high vorticity structures in incompressible 3D Euler equations

- Physics
- 2015

We perform the systematic numerical study of high vorticity structures that develop in the 3D incompressible Euler equations from generic large-scale initial conditions. We observe that a multitude…

### Plasma physics in noninertial frames

- Physics
- 2009

Equations describing the nonrelativistic motion of a charged particle in an arbitrary noninertial reference frame are derived from the relativistically invariant form of the particle action. It is…

### Global two-fluid turbulence simulations of L-H transitions and edge localized mode dynamics in the COMPASS-D tokamak

- Physics
- 2010

It is shown that the transition from L-mode to H-mode regimes in tokamaks can be reproduced using a two-fluid, fully electromagnetic, plasma model when a suitable particle sink is added at the edge.…