25 citations · 91 across the 22 of their papers we have counts for
22 papers
Real Schur Flow Acoustic Directivity and Helicity Effects within
Pan Xu, Jian-Zhou Zhu, Min Zhu
The statistical description and acoustic diagnostics of anisotropic turbulence remain challenging. Real Schur flows (RSFs), prototype models of component-wise dimensionally reduced…
Travelling-wave, Quasi-periodic, and Longulent States of the Galerkin-regularized Hydrodynamic-type Systems
Jian-Zhou Zhu
Travelling-wave, quasi-periodic and ``longulent'' states of the Galerkin-regularized systems preserving finite Fourier modes are exposed. The longulent states are characterized by…
Longons from the nonlinear dispersion of Galerkin regularization
Jian-Zhou Zhu
Irregular compactons and peakons from some nonlinear dispersions can be regularized by another type of nonlinear dispersion, defined by a pseudo-differential operator in physical s…
Even-odd alternative dispersions and beyond. Part II. Noninertial and inertial particles, and, astrophysical chirality analogy
Jian-Zhou Zhu
Particle transports in carriers with even-odd alternating dispersions (introduced in Part I) are investigated. For the third-order dispersion as in Korteweg-de-Vries (KdV), such al…
Component-wise dimensionally reduced flows and helicity conservation
Jian-Zhou Zhu
The component-wise dimensionally reduced real Schur flows (RSFs) associated to the classical compressible Euler equation [J.-Z. Zhu, J. Math. Phys. \textbf{62}, 083101 (2021)] is r…
Helical and nonhelical (magneto-)Burgers turbulence: I. Compressibility reduction and beyond
Jian-Zhou Zhu, Pei-Xin Shi
We compare the helical and nonhelical (magneto-)Burgers turbulence for the \textit{helicity fastening effect}. Theoretical arguments and heuristic mathematical analysis are offered…
Staggered dispersions: Part I. Shocliton, quantum revival and fractalization
Jian-Zhou Zhu
Alternating the signs of the frequencies for Fourier components with even and odd (normalized) wavenumbers in the nonlinear-wave, such as the Korteweg-de Vries, equations maintains…
Compressible helical turbulence: Fastened-structure geometry and statistics
Jian-Zhou Zhu
Reduction of flow compressibility with the corresponding ideally invariant helicities, universally for various fluid models of neutral and ionized gases, can be argued statisticall…
Turbulence compressibility reduction with helicity
Yan Yang, Jian-Zhou Zhu
Numerical test of isotropic turbulence compressibility reduction with helicity in a cyclic box is performed. The ratios of compressibility-relevant-mode spectra over those of kinet…
Vorticity and helicity decompositions and dynamics with real Schur form of the velocity gradient
Jian-Zhou Zhu
The real Schur form (RSF) of a generic velocity gradient field is exploited to expose the structures of flows, in particular our field decomposition resulting i…
Local invariants in non-ideal flows of neutral fluids and two-fluid plasmas
Jian-Zhou Zhu
Local structures, beyond the well-known `frozen-in' to the barotropic flows of the generalized vorticities, of the two-fluid model of plasma flows are presented. More general non-b…
Chirality, extended MHD statistics and solar wind turbulence
Jian-Zhou Zhu
We unite the one-flow-dominated-state (OFDS) argument of \citet{MeyrandGaltierPRL12} with the one-chiral-sector-dominated-state (OCSCS) one \citep[][]{hydrochirality} to form a non…
On topological fluid mechanics of non-ideal systems and virtual frozen-in dynamics
Jian-Zhou Zhu
Euler and Navier-Stokes have variant systems with dynamical invariance of helicity and thus (weak) topological equivalence, allowing a strong `frozen-in' (to, or, dually, `Lie-carr…
Isotropic polarization of compressible flows
Jian-Zhou Zhu
The helical absolute equilibrium of a compressible adiabatic flow presents not only the polarization between the two purely helical modes of opposite chiralities but also that betw…
Disorder and Power-law Tails of DNA Sequence Self-Alignment Concentrations in Molecular Evolution
Kun Gao, HongGuang Sun, Jian-Zhou Zhu
The self-alignment concentrations, , as functions of the length, , of the identically matching maximal segments in the genomes of a variety of species, typically present p…
2D2C, 2D3C, 2C2Dcw1C3D, 3D3C, rotating turbulence, thin-layer flows, quasi-static magnetohydrodynamics (QSMHD), and beyond
Jian-Zhou Zhu
More serious works on 2D2C, 2D3C, 2C2Dcw1C3D, 3D3C, rotating turbulence, thin-layer flows, quasi-static magnetohydrodynamics (QSMHD), and all that are wanted, but we report timely…
Note on specific chiral ensembles of statistical hydrodynamics: "order function" for transition of turbulence transfer scenarios
Jian-Zhou Zhu
Hydrodynamic helicity signatures the parity symmetry breaking, chirality, of the flow. Statistical hydrodynamics thus respect chirality, as symmetry breaking and restoration are ke…
On the exact solutions of (magneto)hydrodynamic systems and the superposition principles of nonlinear helical waves
Jian-Zhou Zhu
The principles of restricted superposition of circularly polarized arbitrary-amplitude waves for several hydrodynamic type models are illustrated systematically with helical repres…
Purely helical absolute equilibria and chirality of (magneto)fluid turbulence
Jian-Zhou Zhu, Weihong Yang, Guang-Yu Zhu
Left- and right-handed helical modes' statistical absolute equilibria appear \textit{separately}. If both chiral sectors present, one can dominate around its positive pole, which i…
Fourier-Hankel/Bessel space absolute equilibria of 2D gyrokinetics
Jian-Zhou Zhu
Two global invariants of two dimensional gyrokinetics are shown to be "rugged" (still conserved by the dynamics) concerning both Fourier and Hankel/Bessel Galerkin truncations. The…
Comment on "Energy Transfer and Dual Cascade in Kinetic Magnetized Plasma Turbulence"
Jian-Zhou Zhu
We argue that the constraints on transfers, given in the Letter [G. Plunk and T. Tatsuno, Phys. Rev. Lett. {\bf 106}, 165003 (2011)], but not correctly, do not give the transfer an…
Dual cascade and its possible variations in magnetized kinetic plasma turbulence
Jian-Zhou Zhu
Electrostatic gyrokinetic absolute equilibria with continuum velocity field are obtained through the partition function and through the Green function of the functional integral. T…