Instability of cumulation in converging cylindrical shock wave

Analysis of Slow-Wave Instability in Rectangularly Corrugated Cylindrical Waveguide

Slow-wave instability in a rectangularly corrugated cylindrical waveguide is analyzed. Fields inside corrugation is expressed by a sum of space harmonics satisfying the boundary conditions at the corrugation wall. The corrugation fields are matched to periodic fields outside the corrugation at the boundary of the two regions. Infinitesimally thin annular electron beam is considered including th...

Converging cylindrical shocks in ideal magnetohydrodynamics

Electrohydrodynamic instability of ion-concentration shock wave in electrophoresis.

Capillary electrophoresis techniques often involve ion-concentration shock waves in an electrolyte solution, propagating under the effect of an external electric field. These shock waves are characterized by self-sharpening gradients in ion concentrations and electrical conductivity that are collinear with the electric field. The coupling of electric field and fluid motion at the shock interfac...

Periodic Wave Shock solutions of Burgers equations

In this paper we investigate the exact peroidic wave shock solutions of the Burgers equations. Our purpose is to describe the asymptotic behavior of the solution in the cauchy problem for viscid equation with small parametr ε and to discuss in particular the case of periodic wave shock. We show that the solution of this problem approaches the shock type solution for the cauchy problem of the in...

Converging cylindrical magnetohydrodynamic shock collapse onto a power-law-varying line current

W. Mostert1,†, D. I. Pullin2, R. Samtaney3 and V. Wheatley1 1School of Mechanical and Mining Engineering, The University of Queensland, Brisbane, QLD 4072, Australia 2Graduate Aerospace Laboratories, California Institute of Technology, Pasadena, CA 91125, USA 3Mechanical Engineering, Physical Sciences and Engineering Division, King Abdullah University of Science and Technology, Thuwal 23955-690...