• Corpus ID: 220831144

Conservative regularization of neutral fluids and plasmas

  title={Conservative regularization of neutral fluids and plasmas},
  author={Sonakshi Sachdev},
  journal={arXiv: Fluid Dynamics},
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… 
1 Citations

Figures from this paper

Field theoretic viewpoints on certain fluid mechanical phenomena.

In this thesis we study field theoretic viewpoints on certain fluid mechanical phenomena. In the Higgs mechanism, the weak gauge bosons acquire masses by interacting with a scalar field, leading to



Local conservative regularizations of compressible MHD and neutral flows

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

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

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.

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

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

Collisional Theory of Shock and Nonlinear Waves in a Plasma

The unsteady state problem of weak nonlinear plasma waves in the presence of a perpendicular magnetic field is studied, based on a system of moment equations of Boltzmann equations for electrons and

Unified Shock Profile in a Plasma

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

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

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

Hamiltonian description of the ideal fluid

The Hamiltonian viewpoint of fluid mechanical systems with few and infinite number of degrees of freedom is described. Rudimentary concepts of finite-degree-of-freedom Hamiltonian dynamics are