1 citations · 1 across the 7 of their papers we have counts for
13 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…