194 citations · 229 across the 11 of their papers we have counts for
11 papers
Transfer Loop and Statistical Equilibrium of Korteweg-de Vries-Burgers Systems Associated to Classical Nonlinear Acoustics and Quantum Shock Waves
Jian-Zhou Zhu
We propose and demonstrate, with the one-dimensional Korteweg-de Vries-Burgers model, the scenarios of transfer loop and \textit{all-scale} statistical equilibrium, the former bein…
Structures and Dynamics of Lone Schur Flows with Vorticity but no Swirls
Jian-Zhou Zhu
We study the dynamics and indications of the flows with all the eigenvalues of the velocity gradients being real, thus `lone', \textit{i.e.}, without forming the complex conjugate…
Real Schur flow computations, helicity fastening effects and Bagua-pattern cyclones
Jian-Zhou Zhu
A semi-analytical algorithm is developed for simulating flows with the velocity gradient uniformly of the real Schur form. Computations for both decaying and driven cases are perfo…
Thermodynamic and vortic fine structures of real Schur flows
Jian-Zhou Zhu
A two-component-two-dimensional coupled with one-component-three-dimensional (2C2Dcw1C3D) flow may also be called a real Schur flow (RSF), as its velocity gradient is uniformly of…
Fast rotating flows in high spatial dimensions
Jian-Zhou Zhu
The central result about fast rotating-flow structures is the Taylor-Proudman theorem (TPT) which connects various aspects of the dynamics. Taylor's geometrical proof of TPT is rep…
Equilibrium and non-equilibrium time-reversible dynamical ensembles relevant to chiral turbulence
Jian-Zhou Zhu
Ideas and theories of turbulence based on modifying the Navier-Stokes equation, to obtain equilibrium and non-equilibrium time-reversible dynamical ensembles relevant to helical tu…